int SLAP_Syrk_ln_unb_var3( FLA_Obj A, FLA_Obj C )
{
  FLA_Obj AT,              A0,
          AB,              a1t,
                           A2;

  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;

  FLA_Part_2x1( A,    &AT, 
                      &AB,            0, FLA_BOTTOM );

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_BR );

  while ( FLA_Obj_length( AB ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x1_to_3x1( AT,                &A0, 
                                              &a1t, 
                        /* ** */            /* *** */
                           AB,                &A2,        1, FLA_TOP );

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00,  &c01,     /**/ &C02,
                                                &c10t, &gamma11, /**/ &c12t,
                        /* ************* */   /* ************************** */
                           CBL, /**/ CBR,       &C20,  &c21,     /**/ &C22,
                           1, 1, FLA_TL );

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

    	    FLA_Gemv(FLA_NO_TRANSPOSE, FLA_ONE, A2, a1t, FLA_ONE, c21);
	    FLA_Dots(FLA_ONE, a1t, a1t, FLA_ONE, gamma11);

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

    FLA_Cont_with_3x1_to_2x1( &AT,                A0, 
                            /* ** */           /* *** */
                                                  a1t, 
                              &AB,                A2,     FLA_BOTTOM );

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00,  /**/ c01,     C02,
                            /* ************** */  /* ************************ */
                                                     c10t, /**/ gamma11, c12t,
                              &CBL, /**/ &CBR,       C20,  /**/ c21,     C22,
                              FLA_BR );

  }

  return FLA_SUCCESS;
}
Esempio n. 2
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FLA_Error LU_unb_var4( FLA_Obj A )
{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

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

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

    /* alpha11 = alpha11 - a10t * a01; */
    FLA_Dots( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );

    /* a12t = a12t - a10t * A02; */
    FLA_Gemv( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t );

    /* a21 = a21 - A20 * a01; */
    FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 );

    /* a21 = a21 / alpha11; */
    FLA_Inv_scal( alpha11, a21 );

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

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

  return FLA_SUCCESS;
}
Esempio n. 3
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FLA_Error Chol_unb_var1( FLA_Obj A )
{
    FLA_Obj ATL,   ATR,      A00,  a01,     A02,
            ABL,   ABR,      a10t, alpha11, a12t,
            A20,  a21,     A22;

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

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

        /* a10t = a10t * inv( tril( A00 )' ); */
        FLA_Trsv( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                  A00, a10t );

        /* alpha11 = alpha11 - a10t * a10; */
        FLA_Dots( FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );

        /* alpha11 = sqrt( alpha11 ); */
        FLA_Sqrt( alpha11 );

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

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

    return FLA_SUCCESS;
}