libflame revision_anchor
|
Functions | |
FLA_Error | FLA_Hess_UT_unb_var1 (FLA_Obj A, FLA_Obj T) |
FLA_Error | FLA_Hess_UT_step_unb_var1 (FLA_Obj A, FLA_Obj T) |
References FLA_Apply_H2_UT(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy(), FLA_Gemv(), FLA_Househ2_UT(), FLA_Obj_create(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), FLA_Obj_set_to_scalar(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_ZERO.
Referenced by FLA_Hess_UT_unb_var1().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj AL, AR, A0, a1, A2; FLA_Obj TTL, TTR, T00, t01, T02, TBL, TBR, t10t, tau11, t12t, T20, t21, T22; FLA_Obj a21_t, a21_b; FLA_Obj A22_t, A22_b; FLA_Obj A2_l, A2_r; FLA_Obj first_elem; dim_t b_alg; FLA_Datatype datatype_A; b_alg = FLA_Obj_length( T ); datatype_A = FLA_Obj_datatype( A ); FLA_Obj_create( datatype_A, 1, 1, 0, 0, &first_elem ); FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_1x2( A, &AL, &AR, 0, FLA_LEFT ); FLA_Part_2x2( T, &TTL, &TTR, &TBL, &TBR, 0, 0, FLA_TL ); while ( FLA_Obj_length( ATL ) < b_alg ) { FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); FLA_Repart_1x2_to_1x3( AL, /**/ AR, &A0, /**/ &a1, &A2, 1, FLA_RIGHT ); FLA_Repart_2x2_to_3x3( TTL, /**/ TTR, &T00, /**/ &t01, &T02, /* ************* */ /* ************************** */ &t10t, /**/ &tau11, &t12t, TBL, /**/ TBR, &T20, /**/ &t21, &T22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ if ( FLA_Obj_length( A22 ) > 0 ) { FLA_Part_2x1( a21, &a21_t, &a21_b, 1, FLA_TOP ); FLA_Part_2x1( A22, &A22_t, &A22_b, 1, FLA_TOP ); FLA_Part_1x2( A2, &A2_l, &A2_r, 1, FLA_LEFT ); // [ u21, tau11, a21 ] = House( a21 ); FLA_Househ2_UT( FLA_LEFT, a21_t, a21_b, tau11 ); // Save first element of a21_t and set it to one so we can use a21 as // u21 in subsequent computations. We will restore a21_t later on. FLA_Copy( a21_t, first_elem ); FLA_Obj_set_to_scalar( FLA_ONE, a21_t ); // A22 = ( I - inv( tau ) * u21 * u21' ) * A22; FLA_Apply_H2_UT( FLA_LEFT, tau11, a21_b, A22_t, A22_b ); // A02 = A02 * ( I - inv( tau ) * u21 * u21' ); // a12t = a12t * ( I - inv( tau ) * u21 * u21' ); // A22 = A22 * ( I - inv( tau ) * u21 * u21' ); FLA_Apply_H2_UT( FLA_RIGHT, tau11, a21_b, A2_l, A2_r ); // t01 = U20' * u21; FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 ); // Restore first element of a21. FLA_Copy( first_elem, a21_t ); } /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); FLA_Cont_with_1x3_to_1x2( &AL, /**/ &AR, A0, a1, /**/ A2, FLA_LEFT ); FLA_Cont_with_3x3_to_2x2( &TTL, /**/ &TTR, T00, t01, /**/ T02, t10t, tau11, /**/ t12t, /* ************** */ /* ************************ */ &TBL, /**/ &TBR, T20, t21, /**/ T22, FLA_TL ); } FLA_Obj_free( &first_elem ); return FLA_SUCCESS; }
References FLA_Hess_UT_step_unb_var1().
Referenced by FLA_Hess_UT_internal().
{ return FLA_Hess_UT_step_unb_var1( A, T ); }