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Functions
FLA_Eig_gest_nl.h File Reference

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Functions

FLA_Error FLA_Eig_gest_nl_blk_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_nl_blk_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_nl_blk_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_nl_blk_var4 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_nl_blk_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_nl_unb_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_nl_unb_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_nl_unb_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_nl_unb_var4 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_nl_unb_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_nl_opt_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_nl_ops_var1 (int m_AB, float *buff_A, int rs_A, int cs_A, float *buff_y, int inc_y, float *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opd_var1 (int m_AB, double *buff_A, int rs_A, int cs_A, double *buff_y, int inc_y, double *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opc_var1 (int m_AB, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_y, int inc_y, scomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opz_var1 (int m_AB, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_y, int inc_y, dcomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opt_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_nl_ops_var2 (int m_AB, float *buff_A, int rs_A, int cs_A, float *buff_y, int inc_y, float *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opd_var2 (int m_AB, double *buff_A, int rs_A, int cs_A, double *buff_y, int inc_y, double *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opc_var2 (int m_AB, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_y, int inc_y, scomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opz_var2 (int m_AB, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_y, int inc_y, dcomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opt_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_nl_ops_var3 (int m_AB, float *buff_A, int rs_A, int cs_A, float *buff_y, int inc_y, float *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opd_var3 (int m_AB, double *buff_A, int rs_A, int cs_A, double *buff_y, int inc_y, double *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opc_var3 (int m_AB, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_y, int inc_y, scomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opz_var3 (int m_AB, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_y, int inc_y, dcomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opt_var4 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_nl_ops_var4 (int m_AB, float *buff_A, int rs_A, int cs_A, float *buff_y, int inc_y, float *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opd_var4 (int m_AB, double *buff_A, int rs_A, int cs_A, double *buff_y, int inc_y, double *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opc_var4 (int m_AB, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_y, int inc_y, scomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opz_var4 (int m_AB, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_y, int inc_y, dcomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opt_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_nl_ops_var5 (int m_AB, float *buff_A, int rs_A, int cs_A, float *buff_y, int inc_y, float *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opd_var5 (int m_AB, double *buff_A, int rs_A, int cs_A, double *buff_y, int inc_y, double *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opc_var5 (int m_AB, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_y, int inc_y, scomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_nl_opz_var5 (int m_AB, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_y, int inc_y, dcomplex *buff_B, int rs_B, int cs_B)

Function Documentation

References FLA_Axpy_internal(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Eig_gest_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trmm_internal(), and FLA_ZERO.

Referenced by FLA_Eig_gest_nl().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  FLA_Obj BTL,   BTR,      B00, B01, B02,
          BBL,   BBR,      B10, B11, B12,
                           B20, B21, B22;

  FLA_Obj YT,              Y01,
          YB,              Y11,
                           Y21;

  FLA_Obj Y21_l, Y21_r;

  dim_t b;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_2x1( Y,    &YT, 
                      &YB,            0, FLA_TOP );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, /**/ &B01, &B02,
                        /* ************* */   /* ******************** */
                                                &B10, /**/ &B11, &B12,
                           BBL, /**/ BBR,       &B20, /**/ &B21, &B22,
                           b, b, FLA_BR );

    FLA_Repart_2x1_to_3x1( YT,                  &Y01,
                        /* ** */              /* *** */
                                                &Y11,
                           YB,                  &Y21,        b, FLA_BOTTOM );

    /*------------------------------------------------------------*/

    FLA_Part_1x2( Y21,    &Y21_l, &Y21_r,     b, FLA_LEFT );

    // Y21 = A22 * B21;
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
                       FLA_ONE, A22, B21, FLA_ZERO, Y21_l,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A21 = A21 * tril( B11 );
    FLA_Trmm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A21,
                       FLA_Cntl_sub_trmm1( cntl ) );

    // A21 = A21 + 1/2 * Y21;
    FLA_Axpy_internal( FLA_ONE_HALF, Y21_l, A21,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A11 = tril( B11 )' * A11 * tril( B11 );
    FLA_Eig_gest_internal( FLA_NO_INVERSE, FLA_LOWER_TRIANGULAR,
                           A11, Y11, B11,
                           FLA_Cntl_sub_eig_gest( cntl ) );

    // A11 = A11 + A21' * B21 + B21' * A21;
    FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
                        FLA_ONE, A21, B21, FLA_ONE, A11,
                        FLA_Cntl_sub_her2k( cntl ) );

    // A21 = A21 + 1/2 * Y21;
    FLA_Axpy_internal( FLA_ONE_HALF, Y21_l, A21,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A21 = tril( B22 )' * A21;
    FLA_Trmm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B22, A21,
                       FLA_Cntl_sub_trmm2( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, B01, /**/ B02,
                                                     B10, B11, /**/ B12,
                            /* ************** */  /* ****************** */
                              &BBL, /**/ &BBR,       B20, B21, /**/ B22,
                              FLA_TL );

    FLA_Cont_with_3x1_to_2x1( &YT,                   Y01,
                                                     Y11,
                            /* ** */              /* *** */
                              &YB,                   Y21,     FLA_TOP );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_internal(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Eig_gest_internal(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trmm_internal(), and FLA_ZERO.

Referenced by FLA_Eig_gest_nl().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  FLA_Obj BTL,   BTR,      B00, B01, B02,
          BBL,   BBR,      B10, B11, B12,
                           B20, B21, B22;

  FLA_Obj YT,              Y01,
          YB,              Y11,
                           Y21;

  FLA_Obj Y21_l, Y21_r;

  dim_t b;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_2x1( Y,    &YT, 
                      &YB,            0, FLA_TOP );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, /**/ &B01, &B02,
                        /* ************* */   /* ******************** */
                                                &B10, /**/ &B11, &B12,
                           BBL, /**/ BBR,       &B20, /**/ &B21, &B22,
                           b, b, FLA_BR );

    FLA_Repart_2x1_to_3x1( YT,                  &Y01,
                        /* ** */              /* *** */
                                                &Y11,
                           YB,                  &Y21,        b, FLA_BOTTOM );

    /*------------------------------------------------------------*/

    FLA_Part_1x2( Y21,    &Y21_l, &Y21_r,     b, FLA_LEFT );

    // A10 = tril( B11 )' * A10;
    FLA_Trmm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A10,
                       FLA_Cntl_sub_trmm1( cntl ) );

    // A10 = A10 + B21' * A20;
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_ONE, B21, A20, FLA_ONE, A10,
                       FLA_Cntl_sub_gemm1( cntl ) );

    // Y21 = A22 * B21;
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
                       FLA_ONE, A22, B21, FLA_ZERO, Y21_l,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A21 = A21 * tril( B11 );
    FLA_Trmm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A21,
                       FLA_Cntl_sub_trmm2( cntl ) );

    // A21 = A21 + 1/2 * Y21;
    FLA_Axpy_internal( FLA_ONE_HALF, Y21_l, A21,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A11 = tril( B11 )' * A11 * tril( B11 );
    FLA_Eig_gest_internal( FLA_NO_INVERSE, FLA_LOWER_TRIANGULAR,
                           A11, Y11, B11,
                           FLA_Cntl_sub_eig_gest( cntl ) );

    // A11 = A11 + A21' * B21 + B21' * A21;
    FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
                        FLA_ONE, A21, B21, FLA_ONE, A11,
                        FLA_Cntl_sub_her2k( cntl ) );

    // A21 = A21 + 1/2 * Y21;
    FLA_Axpy_internal( FLA_ONE_HALF, Y21_l, A21,
                       FLA_Cntl_sub_axpy2( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, B01, /**/ B02,
                                                     B10, B11, /**/ B12,
                            /* ************** */  /* ****************** */
                              &BBL, /**/ &BBR,       B20, B21, /**/ B22,
                              FLA_TL );

    FLA_Cont_with_3x1_to_2x1( &YT,                   Y01,
                                                     Y11,
                            /* ** */              /* *** */
                              &YB,                   Y21,     FLA_TOP );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Eig_gest_internal(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Trmm_internal(), and FLA_ZERO.

Referenced by FLA_Eig_gest_nl().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  FLA_Obj BTL,   BTR,      B00, B01, B02,
          BBL,   BBR,      B10, B11, B12,
                           B20, B21, B22;

  FLA_Obj YL,    YR,       Y10, Y11, Y12;

  FLA_Obj Y10_t,
          Y10_b;

  dim_t b;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_1x2( Y,    &YL,  &YR,      0, FLA_LEFT );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, /**/ &B01, &B02,
                        /* ************* */   /* ******************** */
                                                &B10, /**/ &B11, &B12,
                           BBL, /**/ BBR,       &B20, /**/ &B21, &B22,
                           b, b, FLA_BR );

    FLA_Repart_1x2_to_1x3( YL,  /**/ YR,        &Y10, /**/ &Y11, &Y12,
                           b, FLA_RIGHT );

    /*------------------------------------------------------------*/

    FLA_Part_2x1( Y10,   &Y10_t,
                         &Y10_b,    b, FLA_TOP );

    // Y10 = A11 * B10;
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
                       FLA_ONE, A11, B10, FLA_ZERO, Y10_t,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A10 = A10 + 1/2 * Y10;
    FLA_Axpy_internal( FLA_ONE_HALF, Y10_t, A10,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A00 = A00 + A10' * B10 + B10' * A10;
    FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
                        FLA_ONE, A10, B10, FLA_ONE, A00,
                        FLA_Cntl_sub_her2k( cntl ) );

    // A10 = A10 + 1/2 * Y10;
    FLA_Axpy_internal( FLA_ONE_HALF, Y10_t, A10,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A10 = tril( B11 )' * A10;
    FLA_Trmm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A10,
                       FLA_Cntl_sub_trmm1( cntl ) );

    // A11 = tril( B11 )' * A11 * tril( B11 );
    FLA_Eig_gest_internal( FLA_NO_INVERSE, FLA_LOWER_TRIANGULAR,
                           A11, Y11, B11,
                           FLA_Cntl_sub_eig_gest( cntl ) );

    // A20 = A20 + A21 * B10;
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_ONE, A21, B10, FLA_ONE, A20,
                       FLA_Cntl_sub_gemm1( cntl ) );

    // A21 = A21 * tril( B11 );
    FLA_Trmm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, 
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A21,
                       FLA_Cntl_sub_trmm2( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, B01, /**/ B02,
                                                     B10, B11, /**/ B12,
                            /* ************** */  /* ****************** */
                              &BBL, /**/ &BBR,       B20, B21, /**/ B22,
                              FLA_TL );

    FLA_Cont_with_1x3_to_1x2( &YL,  /**/ &YR,        Y10, Y11, /**/ Y12,
                              FLA_LEFT );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Eig_gest_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Trmm_internal(), and FLA_ZERO.

Referenced by FLA_Eig_gest_nl().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  FLA_Obj BTL,   BTR,      B00, B01, B02,
          BBL,   BBR,      B10, B11, B12,
                           B20, B21, B22;

  FLA_Obj YL,    YR,       Y10, Y11, Y12;

  FLA_Obj Y10_t,
          Y10_b;

  dim_t b;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_1x2( Y,    &YL,  &YR,      0, FLA_LEFT );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, /**/ &B01, &B02,
                        /* ************* */   /* ******************** */
                                                &B10, /**/ &B11, &B12,
                           BBL, /**/ BBR,       &B20, /**/ &B21, &B22,
                           b, b, FLA_BR );

    FLA_Repart_1x2_to_1x3( YL,  /**/ YR,        &Y10, /**/ &Y11, &Y12,
                           b, FLA_RIGHT );

    /*------------------------------------------------------------*/

    FLA_Part_2x1( Y10,   &Y10_t,
                         &Y10_b,    b, FLA_TOP );

    // Y10 = A11 * B10;
    FLA_Hemm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
                       FLA_ONE, A11, B10, FLA_ZERO, Y10_t,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A10 = A10 * tril( B00 );
    FLA_Trmm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, 
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B00, A10,
                       FLA_Cntl_sub_trmm1( cntl ) );

    // A10 = A10 + 1/2 * Y10;
    FLA_Axpy_internal( FLA_ONE_HALF, Y10_t, A10,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A00 = A00 + A10' * B10 + B10' * A10;
    FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
                        FLA_ONE, A10, B10, FLA_ONE, A00,
                        FLA_Cntl_sub_her2k( cntl ) );

    // A10 = A10 + 1/2 * Y10;
    FLA_Axpy_internal( FLA_ONE_HALF, Y10_t, A10,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A10 = tril( B11 )' * A10;
    FLA_Trmm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A10,
                       FLA_Cntl_sub_trmm2( cntl ) );

    // A11 = tril( B11 )' * A11 * tril( B11 );
    FLA_Eig_gest_internal( FLA_NO_INVERSE, FLA_LOWER_TRIANGULAR,
                           A11, Y11, B11,
                           FLA_Cntl_sub_eig_gest( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, B01, /**/ B02,
                                                     B10, B11, /**/ B12,
                            /* ************** */  /* ****************** */
                              &BBL, /**/ &BBR,       B20, B21, /**/ B22,
                              FLA_TL );

    FLA_Cont_with_1x3_to_1x2( &YL,  /**/ &YR,        Y10, Y11, /**/ Y12,
                              FLA_LEFT );
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opc_var1 ( int  m_AB,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_y,
int  inc_y,
scomplex buff_B,
int  rs_B,
int  cs_B 
)

References bli_caxpyv(), bli_cdot2s(), bli_chemv(), bli_cscalv(), bli_ctrmv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nl_opt_var1().

{
  scomplex* buff_0   = FLA_COMPLEX_PTR( FLA_ZERO );
  scomplex* buff_1   = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_1h  = FLA_COMPLEX_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    scomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    scomplex* y21      = buff_y + (i+1)*inc_y;

    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    scomplex* b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;
    scomplex* B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;

    /*------------------------------------------------------------*/

    // FLA_Hemv_external( FLA_LOWER_TRIANGULAR,
    //                    FLA_ONE, A22, b21, FLA_ZERO, y21_l );
    bli_chemv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_CONJUGATE,
               m_ahead,
               buff_1,
               A22, rs_A, cs_A,
               b21, rs_B,
               buff_0,
               y21, inc_y );

    // FLA_Scal_external( beta11, a21 );
    bli_cscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_caxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_cscals( beta11, alpha11 );
    bli_cscals( beta11, alpha11 );
  
    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a21, b21, FLA_ONE, alpha11 );
    bli_cdot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a21, rs_A,
                b21, rs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_caxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a21 );
    bli_ctrmv( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJ_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_ahead,
               B22, rs_B, cs_B,
               a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opc_var2 ( int  m_AB,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_y,
int  inc_y,
scomplex buff_B,
int  rs_B,
int  cs_B 
)

References bli_caxpyv(), bli_cdot2s(), bli_cgemv(), bli_chemv(), bli_cscalv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_TRANSPOSE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nl_opt_var2().

{
  scomplex* buff_0   = FLA_COMPLEX_PTR( FLA_ZERO );
  scomplex* buff_1   = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_1h  = FLA_COMPLEX_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    scomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    scomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    scomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    scomplex* y21      = buff_y + (i+1)*inc_y;

    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    scomplex* b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Scal_external( beta11, a10t );
    bli_cscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, A20, b21, FLA_ONE, a10t );
    bli_cgemv( BLIS_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead,
               m_behind,
               buff_1,
               A20,  rs_A, cs_A,
               b21,  rs_B,
               buff_1,
               a10t, cs_A );

    // FLA_Hemv_external( FLA_LOWER_TRIANGULAR,
    //                    FLA_ONE, A22, b21, FLA_ZERO, y21_l );
    bli_chemv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_CONJUGATE,
               m_ahead,
               buff_1,
               A22, rs_A, cs_A,
               b21, rs_B,
               buff_0,
               y21, inc_y );

    // FLA_Scal_external( beta11, a21 );
    bli_cscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_caxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_cscals( beta11, alpha11 );
    bli_cscals( beta11, alpha11 );
  
    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a21, b21, FLA_ONE, alpha11 );
    bli_cdot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a21, rs_A,
                b21, rs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_caxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opc_var3 ( int  m_AB,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_y,
int  inc_y,
scomplex buff_B,
int  rs_B,
int  cs_B 
)
FLA_Error FLA_Eig_gest_nl_opc_var4 ( int  m_AB,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_y,
int  inc_y,
scomplex buff_B,
int  rs_B,
int  cs_B 
)

References bli_caxpyv(), bli_cger(), bli_cher2(), bli_cscalv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, FLA_ONE, and FLA_ONE_HALF.

Referenced by FLA_Eig_gest_nl_opt_var4().

{
  scomplex* buff_1   = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_1h  = FLA_COMPLEX_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    scomplex* A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    scomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    scomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    scomplex* b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    scomplex  psi11;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_ONE_HALF, psi11 );
    bli_cmult3( buff_1h, alpha11, &psi11 );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_caxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, a10t, b10t, A00 );
    bli_cher2( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_behind,
               buff_1,
               a10t, cs_A,
               b10t, cs_B,
               A00,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_caxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Scal_external( beta11, a10t );
    bli_cscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_cscals( beta11, alpha11 );
    bli_cscals( beta11, alpha11 );

    // FLA_Ger_external( FLA_ONE, a21, b10t, A20 );
    bli_cger( BLIS_NO_CONJUGATE,
              BLIS_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_1,
              a21,  rs_A,
              b10t, cs_B,
              A20,  rs_A, cs_A );

    // FLA_Scal_external( beta11, a21 );
    bli_cscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opc_var5 ( int  m_AB,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_y,
int  inc_y,
scomplex buff_B,
int  rs_B,
int  cs_B 
)

References bli_caxpyv(), bli_cher2(), bli_cscalv(), bli_ctrmv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, FLA_ONE, and FLA_ONE_HALF.

Referenced by FLA_Eig_gest_nl_opt_var5().

{
  scomplex* buff_1   = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_1h  = FLA_COMPLEX_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    scomplex* A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    scomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    scomplex* B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    scomplex* b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    scomplex  psi11;

    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_ONE_HALF, psi11 );
    bli_cmult3( buff_1h, alpha11, &psi11 );

    // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a10t );
    bli_ctrmv( BLIS_LOWER_TRIANGULAR,
               BLIS_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_behind,
               B00,  rs_B, cs_B,
               a10t, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_caxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, a10t, b10t, A00 );
    bli_cher2( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_behind,
               buff_1,
               a10t, cs_A,
               b10t, cs_B,
               A00,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_caxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Scal_external( beta11, a10t );
    bli_cscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_cscals( beta11, alpha11 );
    bli_cscals( beta11, alpha11 );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opd_var1 ( int  m_AB,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_y,
int  inc_y,
double *  buff_B,
int  rs_B,
int  cs_B 
)

References bli_daxpyv(), bli_ddot2s(), bli_dhemv(), bli_dscalv(), bli_dtrmv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nl_opt_var1().

{
  double*   buff_0   = FLA_DOUBLE_PTR( FLA_ZERO );
  double*   buff_1   = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_1h  = FLA_DOUBLE_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    double*   A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    double*   y21      = buff_y + (i+1)*inc_y;

    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    double*   b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;
    double*   B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;

    /*------------------------------------------------------------*/

    // FLA_Hemv_external( FLA_LOWER_TRIANGULAR,
    //                    FLA_ONE, A22, b21, FLA_ZERO, y21_l );
    bli_dhemv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_CONJUGATE,
               m_ahead,
               buff_1,
               A22, rs_A, cs_A,
               b21, rs_B,
               buff_0,
               y21, inc_y );

    // FLA_Scal_external( beta11, a21 );
    bli_dscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_daxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_dscals( beta11, alpha11 );
    bli_dscals( beta11, alpha11 );
  
    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a21, b21, FLA_ONE, alpha11 );
    bli_ddot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a21, rs_A,
                b21, rs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_daxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a21 );
    bli_dtrmv( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJ_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_ahead,
               B22, rs_B, cs_B,
               a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opd_var2 ( int  m_AB,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_y,
int  inc_y,
double *  buff_B,
int  rs_B,
int  cs_B 
)

References bli_daxpyv(), bli_ddot2s(), bli_dgemv(), bli_dhemv(), bli_dscalv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_TRANSPOSE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nl_opt_var2().

{
  double*   buff_0   = FLA_DOUBLE_PTR( FLA_ZERO );
  double*   buff_1   = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_1h  = FLA_DOUBLE_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    double*   a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    double*   A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    double*   A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    double*   y21      = buff_y + (i+1)*inc_y;

    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    double*   b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Scal_external( beta11, a10t );
    bli_dscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, A20, b21, FLA_ONE, a10t );
    bli_dgemv( BLIS_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead,
               m_behind,
               buff_1,
               A20,  rs_A, cs_A,
               b21,  rs_B,
               buff_1,
               a10t, cs_A );

    // FLA_Hemv_external( FLA_LOWER_TRIANGULAR,
    //                    FLA_ONE, A22, b21, FLA_ZERO, y21_l );
    bli_dhemv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_CONJUGATE,
               m_ahead,
               buff_1,
               A22, rs_A, cs_A,
               b21, rs_B,
               buff_0,
               y21, inc_y );

    // FLA_Scal_external( beta11, a21 );
    bli_dscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_daxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_dscals( beta11, alpha11 );
    bli_dscals( beta11, alpha11 );
  
    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a21, b21, FLA_ONE, alpha11 );
    bli_ddot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a21, rs_A,
                b21, rs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_daxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opd_var3 ( int  m_AB,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_y,
int  inc_y,
double *  buff_B,
int  rs_B,
int  cs_B 
)
FLA_Error FLA_Eig_gest_nl_opd_var4 ( int  m_AB,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_y,
int  inc_y,
double *  buff_B,
int  rs_B,
int  cs_B 
)

References bli_daxpyv(), bli_dger(), bli_dher2(), bli_dscalv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, FLA_ONE, and FLA_ONE_HALF.

Referenced by FLA_Eig_gest_nl_opt_var4().

{
  double*   buff_1   = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_1h  = FLA_DOUBLE_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    double*   A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    double*   a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    double*   A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    double*   b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    double    psi11;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_ONE_HALF, psi11 );
    bli_dmult3( buff_1h, alpha11, &psi11 );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_daxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, a10t, b10t, A00 );
    bli_dher2( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_behind,
               buff_1,
               a10t, cs_A,
               b10t, cs_B,
               A00,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_daxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Scal_external( beta11, a10t );
    bli_dscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_dscals( beta11, alpha11 );
    bli_dscals( beta11, alpha11 );

    // FLA_Ger_external( FLA_ONE, a21, b10t, A20 );
    bli_dger( BLIS_NO_CONJUGATE,
              BLIS_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_1,
              a21,  rs_A,
              b10t, cs_B,
              A20,  rs_A, cs_A );

    // FLA_Scal_external( beta11, a21 );
    bli_dscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opd_var5 ( int  m_AB,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_y,
int  inc_y,
double *  buff_B,
int  rs_B,
int  cs_B 
)

References bli_daxpyv(), bli_dher2(), bli_dscalv(), bli_dtrmv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, FLA_ONE, and FLA_ONE_HALF.

Referenced by FLA_Eig_gest_nl_opt_var5().

{
  double*   buff_1   = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_1h  = FLA_DOUBLE_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    double*   A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    double*   a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    double*   B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    double*   b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    double    psi11;

    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_ONE_HALF, psi11 );
    bli_dmult3( buff_1h, alpha11, &psi11 );

    // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a10t );
    bli_dtrmv( BLIS_LOWER_TRIANGULAR,
               BLIS_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_behind,
               B00,  rs_B, cs_B,
               a10t, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_daxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, a10t, b10t, A00 );
    bli_dher2( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_behind,
               buff_1,
               a10t, cs_A,
               b10t, cs_B,
               A00,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_daxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Scal_external( beta11, a10t );
    bli_dscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_dscals( beta11, alpha11 );
    bli_dscals( beta11, alpha11 );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_ops_var1 ( int  m_AB,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_y,
int  inc_y,
float *  buff_B,
int  rs_B,
int  cs_B 
)

References bli_saxpyv(), bli_sdot2s(), bli_shemv(), bli_sscalv(), bli_strmv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nl_opt_var1().

{
  float*    buff_0   = FLA_FLOAT_PTR( FLA_ZERO );
  float*    buff_1   = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_1h  = FLA_FLOAT_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    float*    A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    float*    y21      = buff_y + (i+1)*inc_y;

    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    float*    b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;
    float*    B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;

    /*------------------------------------------------------------*/

    // FLA_Hemv_external( FLA_LOWER_TRIANGULAR,
    //                    FLA_ONE, A22, b21, FLA_ZERO, y21_l );
    bli_shemv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_CONJUGATE,
               m_ahead,
               buff_1,
               A22, rs_A, cs_A,
               b21, rs_B,
               buff_0,
               y21, inc_y );

    // FLA_Scal_external( beta11, a21 );
    bli_sscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_saxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_sscals( beta11, alpha11 );
    bli_sscals( beta11, alpha11 );
  
    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a21, b21, FLA_ONE, alpha11 );
    bli_sdot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a21, rs_A,
                b21, rs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_saxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a21 );
    bli_strmv( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJ_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_ahead,
               B22, rs_B, cs_B,
               a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_ops_var2 ( int  m_AB,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_y,
int  inc_y,
float *  buff_B,
int  rs_B,
int  cs_B 
)

References bli_saxpyv(), bli_sdot2s(), bli_sgemv(), bli_shemv(), bli_sscalv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_TRANSPOSE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nl_opt_var2().

{
  float*    buff_0   = FLA_FLOAT_PTR( FLA_ZERO );
  float*    buff_1   = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_1h  = FLA_FLOAT_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    float*    a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    float*    A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    float*    A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    float*    y21      = buff_y + (i+1)*inc_y;

    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    float*    b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Scal_external( beta11, a10t );
    bli_sscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, A20, b21, FLA_ONE, a10t );
    bli_sgemv( BLIS_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead,
               m_behind,
               buff_1,
               A20,  rs_A, cs_A,
               b21,  rs_B,
               buff_1,
               a10t, cs_A );

    // FLA_Hemv_external( FLA_LOWER_TRIANGULAR,
    //                    FLA_ONE, A22, b21, FLA_ZERO, y21_l );
    bli_shemv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_CONJUGATE,
               m_ahead,
               buff_1,
               A22, rs_A, cs_A,
               b21, rs_B,
               buff_0,
               y21, inc_y );

    // FLA_Scal_external( beta11, a21 );
    bli_sscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_saxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_sscals( beta11, alpha11 );
    bli_sscals( beta11, alpha11 );
  
    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a21, b21, FLA_ONE, alpha11 );
    bli_sdot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a21, rs_A,
                b21, rs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_saxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_ops_var3 ( int  m_AB,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_y,
int  inc_y,
float *  buff_B,
int  rs_B,
int  cs_B 
)
FLA_Error FLA_Eig_gest_nl_ops_var4 ( int  m_AB,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_y,
int  inc_y,
float *  buff_B,
int  rs_B,
int  cs_B 
)

References bli_saxpyv(), bli_sger(), bli_sher2(), bli_sscalv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, FLA_ONE, and FLA_ONE_HALF.

Referenced by FLA_Eig_gest_nl_opt_var4().

{
  float*    buff_1   = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_1h  = FLA_FLOAT_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    float*    A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    float*    a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    float*    A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    float*    b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    float     psi11;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_ONE_HALF, psi11 );
    bli_smult3( buff_1h, alpha11, &psi11 );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_saxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, a10t, b10t, A00 );
    bli_sher2( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_behind,
               buff_1,
               a10t, cs_A,
               b10t, cs_B,
               A00,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_saxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Scal_external( beta11, a10t );
    bli_sscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_sscals( beta11, alpha11 );
    bli_sscals( beta11, alpha11 );

    // FLA_Ger_external( FLA_ONE, a21, b10t, A20 );
    bli_sger( BLIS_NO_CONJUGATE,
              BLIS_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_1,
              a21,  rs_A,
              b10t, cs_B,
              A20,  rs_A, cs_A );

    // FLA_Scal_external( beta11, a21 );
    bli_sscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_ops_var5 ( int  m_AB,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_y,
int  inc_y,
float *  buff_B,
int  rs_B,
int  cs_B 
)

References bli_saxpyv(), bli_sher2(), bli_sscalv(), bli_strmv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, FLA_ONE, and FLA_ONE_HALF.

Referenced by FLA_Eig_gest_nl_opt_var5().

{
  float*    buff_1   = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_1h  = FLA_FLOAT_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    float*    A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    float*    a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    float*    B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    float*    b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    float     psi11;

    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_ONE_HALF, psi11 );
    bli_smult3( buff_1h, alpha11, &psi11 );

    // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a10t );
    bli_strmv( BLIS_LOWER_TRIANGULAR,
               BLIS_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_behind,
               B00,  rs_B, cs_B,
               a10t, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_saxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, a10t, b10t, A00 );
    bli_sher2( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_behind,
               buff_1,
               a10t, cs_A,
               b10t, cs_B,
               A00,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_saxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Scal_external( beta11, a10t );
    bli_sscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_sscals( beta11, alpha11 );
    bli_sscals( beta11, alpha11 );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}

References FLA_Eig_gest_nl_opc_var1(), FLA_Eig_gest_nl_opd_var1(), FLA_Eig_gest_nl_ops_var1(), FLA_Eig_gest_nl_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Part_1x2().

Referenced by FLA_Eig_gest_nl().

{
  FLA_Datatype datatype;
  int          m_AB;
  int          rs_A, cs_A;
  int          rs_B, cs_B;
  int          inc_y;
  FLA_Obj      yL, yR;

  datatype = FLA_Obj_datatype( A );

  m_AB     = FLA_Obj_length( A );

  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );

  rs_B     = FLA_Obj_row_stride( B );
  cs_B     = FLA_Obj_col_stride( B );
 
  FLA_Part_1x2( Y,    &yL, &yR,     1, FLA_LEFT );

  inc_y    = FLA_Obj_vector_inc( yL );

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      float* buff_y = FLA_FLOAT_PTR( yL );
      float* buff_B = FLA_FLOAT_PTR( B );

      FLA_Eig_gest_nl_ops_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_y = FLA_DOUBLE_PTR( yL );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_nl_opd_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_y = FLA_COMPLEX_PTR( yL );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_nl_opc_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_y = FLA_DOUBLE_COMPLEX_PTR( yL );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_nl_opz_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }
  }

  return FLA_SUCCESS;
}

References FLA_Eig_gest_nl_opc_var2(), FLA_Eig_gest_nl_opd_var2(), FLA_Eig_gest_nl_ops_var2(), FLA_Eig_gest_nl_opz_var2(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Part_1x2().

Referenced by FLA_Eig_gest_nl().

{
  FLA_Datatype datatype;
  int          m_AB;
  int          rs_A, cs_A;
  int          rs_B, cs_B;
  int          inc_y;
  FLA_Obj      yL, yR;

  datatype = FLA_Obj_datatype( A );

  m_AB     = FLA_Obj_length( A );

  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );

  rs_B     = FLA_Obj_row_stride( B );
  cs_B     = FLA_Obj_col_stride( B );
 
  FLA_Part_1x2( Y,    &yL, &yR,     1, FLA_LEFT );

  inc_y    = FLA_Obj_vector_inc( yL );

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      float* buff_y = FLA_FLOAT_PTR( yL );
      float* buff_B = FLA_FLOAT_PTR( B );

      FLA_Eig_gest_nl_ops_var2( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_y = FLA_DOUBLE_PTR( yL );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_nl_opd_var2( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_y = FLA_COMPLEX_PTR( yL );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_nl_opc_var2( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_y = FLA_DOUBLE_COMPLEX_PTR( yL );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_nl_opz_var2( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }
  }

  return FLA_SUCCESS;
}

References FLA_Eig_gest_nl_opc_var4(), FLA_Eig_gest_nl_opd_var4(), FLA_Eig_gest_nl_ops_var4(), FLA_Eig_gest_nl_opz_var4(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Part_2x1().

Referenced by FLA_Eig_gest_nl().

{
  FLA_Datatype datatype;
  int          m_AB;
  int          rs_A, cs_A;
  int          rs_B, cs_B;
  int          inc_y;
  FLA_Obj      yT, yB;

  datatype = FLA_Obj_datatype( A );

  m_AB     = FLA_Obj_length( A );

  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );

  rs_B     = FLA_Obj_row_stride( B );
  cs_B     = FLA_Obj_col_stride( B );
 
  FLA_Part_2x1( Y,    &yT,
                      &yB,     1, FLA_TOP );

  inc_y    = FLA_Obj_vector_inc( yT );

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      float* buff_y = FLA_FLOAT_PTR( yT );
      float* buff_B = FLA_FLOAT_PTR( B );

      FLA_Eig_gest_nl_ops_var4( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_y = FLA_DOUBLE_PTR( yT );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_nl_opd_var4( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_y = FLA_COMPLEX_PTR( yT );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_nl_opc_var4( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_y = FLA_DOUBLE_COMPLEX_PTR( yT );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_nl_opz_var4( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }
  }

  return FLA_SUCCESS;
}

References FLA_Eig_gest_nl_opc_var5(), FLA_Eig_gest_nl_opd_var5(), FLA_Eig_gest_nl_ops_var5(), FLA_Eig_gest_nl_opz_var5(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Part_2x1().

Referenced by FLA_Eig_gest_nl().

{
  FLA_Datatype datatype;
  int          m_AB;
  int          rs_A, cs_A;
  int          rs_B, cs_B;
  int          inc_y;
  FLA_Obj      yT, yB;

  datatype = FLA_Obj_datatype( A );

  m_AB     = FLA_Obj_length( A );

  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );

  rs_B     = FLA_Obj_row_stride( B );
  cs_B     = FLA_Obj_col_stride( B );
 
  FLA_Part_2x1( Y,    &yT,
                      &yB,     1, FLA_TOP );

  inc_y    = FLA_Obj_vector_inc( yT );

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      float* buff_y = FLA_FLOAT_PTR( yT );
      float* buff_B = FLA_FLOAT_PTR( B );

      FLA_Eig_gest_nl_ops_var5( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_y = FLA_DOUBLE_PTR( yT );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_nl_opd_var5( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_y = FLA_COMPLEX_PTR( yT );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_nl_opc_var5( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_y = FLA_DOUBLE_COMPLEX_PTR( yT );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_nl_opz_var5( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opz_var1 ( int  m_AB,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_y,
int  inc_y,
dcomplex buff_B,
int  rs_B,
int  cs_B 
)

References bli_zaxpyv(), bli_zdot2s(), bli_zhemv(), bli_zscalv(), bli_ztrmv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nl_opt_var1().

{
  dcomplex* buff_0   = FLA_DOUBLE_COMPLEX_PTR( FLA_ZERO );
  dcomplex* buff_1   = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_1h  = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    dcomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    dcomplex* y21      = buff_y + (i+1)*inc_y;

    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    dcomplex* b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;
    dcomplex* B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;

    /*------------------------------------------------------------*/

    // FLA_Hemv_external( FLA_LOWER_TRIANGULAR,
    //                    FLA_ONE, A22, b21, FLA_ZERO, y21_l );
    bli_zhemv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_CONJUGATE,
               m_ahead,
               buff_1,
               A22, rs_A, cs_A,
               b21, rs_B,
               buff_0,
               y21, inc_y );

    // FLA_Scal_external( beta11, a21 );
    bli_zscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_zaxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_zscals( beta11, alpha11 );
    bli_zscals( beta11, alpha11 );
  
    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a21, b21, FLA_ONE, alpha11 );
    bli_zdot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a21, rs_A,
                b21, rs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_zaxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a21 );
    bli_ztrmv( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJ_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_ahead,
               B22, rs_B, cs_B,
               a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opz_var2 ( int  m_AB,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_y,
int  inc_y,
dcomplex buff_B,
int  rs_B,
int  cs_B 
)

References bli_zaxpyv(), bli_zdot2s(), bli_zgemv(), bli_zhemv(), bli_zscalv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_TRANSPOSE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nl_opt_var2().

{
  dcomplex* buff_0   = FLA_DOUBLE_COMPLEX_PTR( FLA_ZERO );
  dcomplex* buff_1   = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_1h  = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    dcomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    dcomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    dcomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    dcomplex* y21      = buff_y + (i+1)*inc_y;

    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    dcomplex* b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Scal_external( beta11, a10t );
    bli_zscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, A20, b21, FLA_ONE, a10t );
    bli_zgemv( BLIS_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead,
               m_behind,
               buff_1,
               A20,  rs_A, cs_A,
               b21,  rs_B,
               buff_1,
               a10t, cs_A );

    // FLA_Hemv_external( FLA_LOWER_TRIANGULAR,
    //                    FLA_ONE, A22, b21, FLA_ZERO, y21_l );
    bli_zhemv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_CONJUGATE,
               m_ahead,
               buff_1,
               A22, rs_A, cs_A,
               b21, rs_B,
               buff_0,
               y21, inc_y );

    // FLA_Scal_external( beta11, a21 );
    bli_zscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_zaxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_zscals( beta11, alpha11 );
    bli_zscals( beta11, alpha11 );
  
    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a21, b21, FLA_ONE, alpha11 );
    bli_zdot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a21, rs_A,
                b21, rs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
    bli_zaxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y21, inc_y,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opz_var3 ( int  m_AB,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_y,
int  inc_y,
dcomplex buff_B,
int  rs_B,
int  cs_B 
)
FLA_Error FLA_Eig_gest_nl_opz_var4 ( int  m_AB,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_y,
int  inc_y,
dcomplex buff_B,
int  rs_B,
int  cs_B 
)

References bli_zaxpyv(), bli_zger(), bli_zher2(), bli_zscalv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, FLA_ONE, and FLA_ONE_HALF.

Referenced by FLA_Eig_gest_nl_opt_var4().

{
  dcomplex* buff_1   = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_1h  = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    dcomplex* A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    dcomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    dcomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    dcomplex* b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    dcomplex  psi11;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_ONE_HALF, psi11 );
    bli_zmult3( buff_1h, alpha11, &psi11 );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_zaxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, a10t, b10t, A00 );
    bli_zher2( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_behind,
               buff_1,
               a10t, cs_A,
               b10t, cs_B,
               A00,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_zaxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Scal_external( beta11, a10t );
    bli_zscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_zscals( beta11, alpha11 );
    bli_zscals( beta11, alpha11 );

    // FLA_Ger_external( FLA_ONE, a21, b10t, A20 );
    bli_zger( BLIS_NO_CONJUGATE,
              BLIS_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_1,
              a21,  rs_A,
              b10t, cs_B,
              A20,  rs_A, cs_A );

    // FLA_Scal_external( beta11, a21 );
    bli_zscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_opz_var5 ( int  m_AB,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_y,
int  inc_y,
dcomplex buff_B,
int  rs_B,
int  cs_B 
)

References bli_zaxpyv(), bli_zher2(), bli_zscalv(), bli_ztrmv(), BLIS_CONJUGATE, BLIS_LOWER_TRIANGULAR, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, FLA_ONE, and FLA_ONE_HALF.

Referenced by FLA_Eig_gest_nl_opt_var5().

{
  dcomplex* buff_1   = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_1h  = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    dcomplex* A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    dcomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    dcomplex* B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    dcomplex* b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    dcomplex  psi11;

    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_ONE_HALF, psi11 );
    bli_zmult3( buff_1h, alpha11, &psi11 );

    // FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a10t );
    bli_ztrmv( BLIS_LOWER_TRIANGULAR,
               BLIS_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_behind,
               B00,  rs_B, cs_B,
               a10t, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_zaxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, a10t, b10t, A00 );
    bli_zher2( BLIS_LOWER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_behind,
               buff_1,
               a10t, cs_A,
               b10t, cs_B,
               A00,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b10t, a10t );
    bli_zaxpyv( BLIS_NO_CONJUGATE,
                m_behind,
                &psi11,
                b10t, cs_B,
                a10t, cs_A );

    // FLA_Scal_external( beta11, a10t );
    bli_zscalv( BLIS_NO_CONJUGATE,
                m_behind,
                beta11,
                a10t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_zscals( beta11, alpha11 );
    bli_zscals( beta11, alpha11 );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2cs_external(), FLA_Hemv_external(), FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), FLA_Trmv_external(), and FLA_ZERO.

Referenced by FLA_Eig_gest_nl().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BTL,   BTR,      B00,  b01,    B02, 
          BBL,   BBR,      b10t, beta11, b12t,
                           B20,  b21,    B22;

  FLA_Obj yT,              y01,
          yB,              psi11,
                           y21;

  FLA_Obj y21_l, y21_r;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_2x1( Y,    &yT,
                      &yB,            0, FLA_TOP );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00,  /**/ &b01,    &B02,
                        /* ************* */   /* ************************* */
                                                &b10t, /**/ &beta11, &b12t,
                           BBL, /**/ BBR,       &B20,  /**/ &b21,    &B22,
                           1, 1, FLA_BR );

    FLA_Repart_2x1_to_3x1( yT,                  &y01,
                        /* ** */              /* ***** */
                                                &psi11,
                           yB,                  &y21,        1, FLA_BOTTOM );

    /*------------------------------------------------------------*/

    FLA_Part_1x2( y21,    &y21_l, &y21_r,     1, FLA_LEFT );

    // y21 = A22 * b21;
    FLA_Hemv_external( FLA_LOWER_TRIANGULAR,
                       FLA_ONE, A22, b21, FLA_ZERO, y21_l );

    // a21 = a21 * beta11;
    FLA_Scal_external( beta11, a21 );

    // a21 = a21 + 1/2 * y21;
    FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );

    // alpha11 = conj(beta11) * alpha11 * beta11;
    //         = beta11 * alpha11 * beta11;
    FLA_Scal_external( beta11, alpha11 );
    FLA_Scal_external( beta11, alpha11 );

    // alpha11 = alpha11 + a21' * b21 + b21' * a21;
    FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a21, b21, FLA_ONE, alpha11 );

    // a21 = a21 + 1/2 * y21;
    FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );

    // a21 = tril( B22 )' * a21;
    FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       B22, a21 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00,  b01,    /**/ B02,
                                                     b10t, beta11, /**/ b12t,
                            /* ************** */  /* *********************** */
                              &BBL, /**/ &BBR,       B20,  b21,    /**/ B22,
                              FLA_TL );

    FLA_Cont_with_3x1_to_2x1( &yT,                   y01,
                                                     psi11,
                            /* ** */              /* ***** */
                              &yB,                   y21,     FLA_TOP );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2cs_external(), FLA_Gemvc_external(), FLA_Hemv_external(), FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), and FLA_ZERO.

Referenced by FLA_Eig_gest_nl().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BTL,   BTR,      B00,  b01,    B02, 
          BBL,   BBR,      b10t, beta11, b12t,
                           B20,  b21,    B22;

  FLA_Obj yT,              y01,
          yB,              psi11,
                           y21;

  FLA_Obj y21_l, y21_r;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_2x1( Y,    &yT,
                      &yB,            0, FLA_TOP );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00,  /**/ &b01,    &B02,
                        /* ************* */   /* ************************* */
                                                &b10t, /**/ &beta11, &b12t,
                           BBL, /**/ BBR,       &B20,  /**/ &b21,    &B22,
                           1, 1, FLA_BR );

    FLA_Repart_2x1_to_3x1( yT,                  &y01,
                        /* ** */              /* ***** */
                                                &psi11,
                           yB,                  &y21,        1, FLA_BOTTOM );

    /*------------------------------------------------------------*/

    FLA_Part_1x2( y21,    &y21_l, &y21_r,     1, FLA_LEFT );

    // a10t = beta11 * a10t;
    FLA_Scal_external( beta11, a10t );

    // a10t   = a10t   + b21' * A20;
    // a10t^T = a10t^T + A20^T * conj(b21);
    FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
                        FLA_ONE, A20, b21, FLA_ONE, a10t );

    // y21 = A22 * b21;
    FLA_Hemv_external( FLA_LOWER_TRIANGULAR,
                       FLA_ONE, A22, b21, FLA_ZERO, y21_l );

    // a21 = a21 * beta11;
    FLA_Scal_external( beta11, a21 );

    // a21 = a21 + 1/2 * y21;
    FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );

    // alpha11 = conj(beta11) * alpha11 * beta11;
    //         = beta11 * alpha11 * beta11;
    FLA_Scal_external( beta11, alpha11 );
    FLA_Scal_external( beta11, alpha11 );

    // alpha11 = alpha11 + a21' * b21 + b21' * a21;
    FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a21, b21, FLA_ONE, alpha11 );

    // a21 = a21 + 1/2 * y21;
    FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00,  b01,    /**/ B02,
                                                     b10t, beta11, /**/ b12t,
                            /* ************** */  /* *********************** */
                              &BBL, /**/ &BBR,       B20,  b21,    /**/ B22,
                              FLA_TL );

    FLA_Cont_with_3x1_to_2x1( &yT,                   y01,
                                                     psi11,
                            /* ** */              /* ***** */
                              &yB,                   y21,     FLA_TOP );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Ger_external(), FLA_Her2c_external(), FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Eig_gest_nl().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BTL,   BTR,      B00,  b01,    B02, 
          BBL,   BBR,      b10t, beta11, b12t,
                           B20,  b21,    B22;

  //FLA_Obj yL,    yR,       y10t, psi11,  y12t;

  //FLA_Obj y10t_t,
  //        y10t_b;

  FLA_Obj psi11, y12t,
          y21,   Y22;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  //FLA_Part_1x2( Y,    &yL,  &yR,      0, FLA_LEFT );

  FLA_Part_2x2( Y,    &psi11, &y12t,
                      &y21,   &Y22,     1, 1, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00,  /**/ &b01,    &B02,
                        /* ************* */   /* ************************* */
                                                &b10t, /**/ &beta11, &b12t,
                           BBL, /**/ BBR,       &B20,  /**/ &b21,    &B22,
                           1, 1, FLA_BR );

    //FLA_Repart_1x2_to_1x3( yL,  /**/ yR,        &y10t, /**/ &psi11,  &y12t,
    //                       1, FLA_RIGHT );

    /*------------------------------------------------------------*/

    //FLA_Part_2x1( y10t,   &y10t_t,
    //                      &y10t_b,    1, FLA_TOP );

    //// y10t = alpha11 * b10t;
    //FLA_Copy_external( b10t, y10t_t );
    //FLA_Scal_external( alpha11, y10t_t );
    // psi11 = 1/2 * alpha11;
    FLA_Copy_external( alpha11, psi11 );
    FLA_Scal_external( FLA_ONE_HALF, psi11 );

    //// a10t = a10t + 1/2 * y10t;
    //FLA_Axpy_external( FLA_ONE_HALF, y10t_t, a10t );
    // a10t = a10t + 1/2 * alpha11 * b10t;
    FLA_Axpy_external( psi11, b10t, a10t );

    // A00 = A00 + a10t' * b10t + b10t' * a10t;
    FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
                        FLA_ONE, a10t, b10t, A00 );

    //// a10t = a10t + 1/2 * y10t;
    //FLA_Axpy_external( FLA_ONE_HALF, y10t_t, a10t );
    // a10t = a10t + 1/2 * alpha11 * b10t;
    FLA_Axpy_external( psi11, b10t, a10t );

    // a10t = conj(beta11) * a10t;
    //      = beta11 * a10t;
    FLA_Scal_external( beta11, a10t );

    // alpha11 = conj(beta11) * alpha11 * beta11;
    //         = beta11 * alpha11 * beta11;
    FLA_Scal_external( beta11, alpha11 );
    FLA_Scal_external( beta11, alpha11 );

    // A20 = A20 + a21 * b10t;
    FLA_Ger_external( FLA_ONE, a21, b10t, A20 );

    // a21 = a21 * beta11;
    FLA_Scal_external( beta11, a21 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00,  b01,    /**/ B02,
                                                     b10t, beta11, /**/ b12t,
                            /* ************** */  /* *********************** */
                              &BBL, /**/ &BBR,       B20,  b21,    /**/ B22,
                              FLA_TL );

    //FLA_Cont_with_1x3_to_1x2( &yL,  /**/ &yR,        y10t, psi11, /**/  y12t,
    //                          FLA_LEFT );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Her2c_external(), FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), and FLA_Trmv_external().

Referenced by FLA_Eig_gest_nl().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BTL,   BTR,      B00,  b01,    B02, 
          BBL,   BBR,      b10t, beta11, b12t,
                           B20,  b21,    B22;

  //FLA_Obj yL,    yR,       y10t, psi11,  y12t;

  //FLA_Obj y10t_t,
  //        y10t_b;

  FLA_Obj psi11, y12t,
          y21,   Y22;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  //FLA_Part_1x2( Y,    &yL,  &yR,      0, FLA_LEFT );

  FLA_Part_2x2( Y,    &psi11, &y12t,
                      &y21,   &Y22,     1, 1, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00,  /**/ &b01,    &B02,
                        /* ************* */   /* ************************* */
                                                &b10t, /**/ &beta11, &b12t,
                           BBL, /**/ BBR,       &B20,  /**/ &b21,    &B22,
                           1, 1, FLA_BR );

    //FLA_Repart_1x2_to_1x3( yL,  /**/ yR,        &y10t, /**/ &psi11,  &y12t,
    //                       1, FLA_RIGHT );

    /*------------------------------------------------------------*/

    //FLA_Part_2x1( y10t,   &y10t_t,
    //                      &y10t_b,    1, FLA_TOP );

    //// y10t = alpha11 * b10t;
    //FLA_Copy_external( b10t, y10t_t );
    //FLA_Scal_external( alpha11, y10t_t );
    // psi11 = 1/2 * alpha11;
    FLA_Copy_external( alpha11, psi11 );
    FLA_Scal_external( FLA_ONE_HALF, psi11 );

    // a10t   = a10t * tril( B00 );
    // a10t^T = tril( B00 )^T * a10t^T;
    FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
                       B00, a10t );

    //// a10t = a10t + 1/2 * y10t;
    //FLA_Axpy_external( FLA_ONE_HALF, y10t_t, a10t );
    // a10t = a10t + 1/2 * alpha11 * b10t;
    FLA_Axpy_external( psi11, b10t, a10t );

    // A00 = A00 + a10t' * b10t + b10t' * a10t;
    FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
                        FLA_ONE, a10t, b10t, A00 );

    //// a10t = a10t + 1/2 * y10t;
    //FLA_Axpy_external( FLA_ONE_HALF, y10t_t, a10t );
    // a10t = a10t + 1/2 * alpha11 * b10t;
    FLA_Axpy_external( psi11, b10t, a10t );

    // a10t = conj(beta11) * a10t;
    //      = beta11 * a10t;
    FLA_Scal_external( beta11, a10t );

    // alpha11 = conj(beta11) * alpha11 * beta11;
    //         = beta11 * alpha11 * beta11;
    FLA_Scal_external( beta11, alpha11 );
    FLA_Scal_external( beta11, alpha11 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00,  b01,    /**/ B02,
                                                     b10t, beta11, /**/ b12t,
                            /* ************** */  /* *********************** */
                              &BBL, /**/ &BBR,       B20,  b21,    /**/ B22,
                              FLA_TL );

    //FLA_Cont_with_1x3_to_1x2( &yL,  /**/ &yR,        y10t, psi11, /**/  y12t,
    //                          FLA_LEFT );
  }

  return FLA_SUCCESS;
}