FLA_LU_piv_unb_var4.c File Reference

(r)

Functions
FLA_Error	FLA_LU_piv_unb_var4 (FLA_Obj A, FLA_Obj p)

Function Documentation

FLA_LU_piv_unb_var4()

FLA_Error FLA_LU_piv_unb_var4	(	FLA_Obj	A,
		FLA_Obj	p
	)

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;
 
  FLA_Obj pT,              p0,
          pB,              pi1,
                           p2;
 
  FLA_Obj AB0, aB1, AB2;
 
 
  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );
 
  FLA_Part_2x1( p,    &pT, 
                      &pB,            0, FLA_TOP );
 
  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) &&
          FLA_Obj_width( ATL ) < FLA_Obj_width( 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_2x1_to_3x1( pT,                &p0, 
                        /* ** */            /* *** */
                                              &pi1, 
                           pB,                &p2,        1, FLA_BOTTOM );
 
    /*------------------------------------------------------------*/
 
    // alpha11 = alpha11 - a10t * a01
    FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );
 
    // a21 = a21 - A20 * a01
    FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 );
 
    // aB1 = / alpha11 \
    //       \  a21    /
    FLA_Merge_2x1( alpha11,
                   a21,      &aB1 );
 
    // Determine pivot index
    FLA_Amax_external( aB1, pi1 );
 
    // Apply pivots to current column
    FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 );
 
    // AB0 = / a10t \
    //       \ A20  /
    FLA_Merge_2x1( a10t,
                   A20,      &AB0 );
 
    // AB2 = / a12t \
    //       \ A22  /
    FLA_Merge_2x1( a12t,
                   A22,      &AB2 );
 
    // Apply pivots to remaining columns
    FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 );
    FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 );
 
    // a21 = a21 / alpha11 
    FLA_Inv_scal_external( alpha11, a21 );
 
    // a12t = a12t - a10t * A02
    FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );
 
    FLA_Cont_with_3x1_to_2x1( &pT,                p0, 
                                                  pi1, 
                            /* ** */           /* *** */
                              &pB,                p2,     FLA_TOP );
 
  }
 
  return FLA_SUCCESS;
}

References FLA_Amax_external(), FLA_Apply_pivots(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Inv_scal_external(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and i.

Referenced by FLA_LU_piv_internal().