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revision_anchor
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Functions | |
FLA_Error | FLA_LQ_UT_blk_var2 (FLA_Obj A, FLA_Obj T, fla_lqut_t *cntl) |
FLA_Error FLA_LQ_UT_blk_var2 | ( | FLA_Obj | A, |
FLA_Obj | T, | ||
fla_lqut_t * | cntl | ||
) |
References FLA_Apply_Q_UT_internal(), FLA_Cont_with_3x3_to_2x2(), FLA_Copyt_external(), FLA_Determine_blocksize(), FLA_Gemm_external(), FLA_LQ_UT_internal(), FLA_Merge_1x2(), FLA_Obj_length(), FLA_Obj_min_dim(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Trmm_external().
Referenced by FLA_LQ_UT_internal().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj TTL, TTR, T00, T01, T02, TBL, TBR, T10, T11, W12, T20, T21, T22; FLA_Obj AR1, AR2; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( T, &TTL, &TTR, &TBL, &TBR, 0, 0, FLA_TL ); while ( FLA_Obj_min_dim( ABR ) > 0 ){ 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( TTL, /**/ TTR, &T00, /**/ &T01, &T02, /* ************* */ /* ******************** */ &T10, /**/ &T11, &W12, TBL, /**/ TBR, &T20, /**/ &T21, &T22, b, b, FLA_BR ); /*------------------------------------------------------------*/ FLA_Merge_1x2( A11, A12, &AR1 ); // Perform an LQ factorization via the UT transform on AR1: // // ( A11 A12 ) -> L11 QR1 // // where: // - QR1 is formed from UR1 (which is stored row-wise above the // diagonal of AR1) and T11 (which is stored to the upper triangle // of T11). // - L11 is stored to the lower triangle of AR1. FLA_LQ_UT_internal( AR1, T11, FLA_Cntl_sub_lqut( cntl ) ); if ( FLA_Obj_length( A21 ) > 0 ) { FLA_Merge_1x2( A21, A22, &AR2 ); // Apply the Householder transforms associated with UR1 and T11 to // AR2: // // ( A21 A22 ) := ( A21 A22 ) Q1 // // where QR1 is formed from UR1 and T11. FLA_Apply_Q_UT_internal( FLA_RIGHT, FLA_NO_TRANSPOSE, FLA_FORWARD, FLA_ROWWISE, AR1, T11, W12, AR2, FLA_Cntl_sub_apqut( cntl ) ); } // Update T // // T01 = conj(A01) * U11^T + conj(A02) * U12^T; // // Recall: U11 = triuu( A11 ); // U12 = A12; FLA_Copyt_external( FLA_CONJ_NO_TRANSPOSE, A01, T01 ); FLA_Trmm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, FLA_ONE, A11, T01 ); FLA_Gemm_external( FLA_CONJ_NO_TRANSPOSE, FLA_TRANSPOSE, FLA_ONE, A02, A12, FLA_ONE, T01 ); /*------------------------------------------------------------*/ 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( &TTL, /**/ &TTR, T00, T01, /**/ T02, T10, T11, /**/ W12, /* ************** */ /* ****************** */ &TBL, /**/ &TBR, T20, T21, /**/ T22, FLA_TL ); } return FLA_SUCCESS; }