FLA_Eig_gest_il_blk_var2.c File Reference

(r)

Functions
FLA_Error	FLA_Eig_gest_il_blk_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)

---

Function Documentation

FLA_Error FLA_Eig_gest_il_blk_var2	(	FLA_Obj	A,
		FLA_Obj	Y,
		FLA_Obj	B,
		fla_eig_gest_t *	cntl
	)

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_MINUS_ONE, 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_Trsm_internal(), and FLA_ZERO.

Referenced by FLA_Eig_gest_il().

{
  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 = 1/2 * B10 * A00;
    FLA_Hemm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_ONE_HALF, A00, B10, FLA_ZERO, Y10_t,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A10 = A10 - Y10;
    FLA_Axpy_internal( FLA_MINUS_ONE, Y10_t, A10,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A11 = A11 - A10 * B10' - B10 * A10';
    FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
                        FLA_MINUS_ONE, A10, B10, FLA_ONE, A11,
                        FLA_Cntl_sub_her2k( cntl ) );

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

    // A21 = A21 - A20 * B10';
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
                       FLA_MINUS_ONE, A20, B10, FLA_ONE, A21,
                       FLA_Cntl_sub_gemm1( cntl ) );

    // A21 = A21 * inv( tril( B11 )' );
    FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A21,
                       FLA_Cntl_sub_trsm1( cntl ) );

    // A10 = A10 - Y10;
    FLA_Axpy_internal( FLA_MINUS_ONE, Y10_t, A10,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A10 = inv( tril( B11 ) ) * A10;
    FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A10,
                       FLA_Cntl_sub_trsm2( 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;
}