FLA_Eig_gest_nu_unb_var1.c File Reference

(r)

Functions
FLA_Error	FLA_Eig_gest_nu_unb_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)

Function Documentation

FLA_Eig_gest_nu_unb_var1()

FLA_Error FLA_Eig_gest_nu_unb_var1	(	FLA_Obj	A,
		FLA_Obj	Y,
		FLA_Obj	B
	)

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;
 
  FLA_Obj BTL,   BTR,      B00,  b01,    B02, 
          BBL,   BBR,      b10t, beta11, b12t,
                           B20,  b21,    B22;
 
  FLA_Obj yL,    yR,       y10t, psi11,  y12t;
 
  FLA_Obj y12t_t,
          y12t_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 ) ){
 
    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );
 
    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00,  /**/ &b01,    &B02,
                        /* ************* */   /* ************************* */
                                                &b10t, /**/ &beta11, &b12t,
                           BBL, /**/ BBR,       &B20,  /**/ &b21,    &B22,
                           1, 1, FLA_BR );
 
    FLA_Repart_1x2_to_1x3( yL,  /**/ yR,        &y10t, /**/ &psi11,  &y12t,
                           1, FLA_RIGHT );
 
    /*------------------------------------------------------------*/
 
    FLA_Part_2x1( y12t,   &y12t_t,
                          &y12t_b,    1, FLA_TOP );
 
    // y12t   = b12t * A22;
    // y12t^T = A22^T * b12t^T;
    FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
                        FLA_ONE, A22, b12t, FLA_ZERO, y12t_t );
 
    // a12t = beta11 * a12t;
    FLA_Scal_external( beta11, a12t );
 
    // a12t = a12t + 1/2 * y12t;
    FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
 
    // alpha11 = conj(beta11) * alpha11 * beta11;
    //         = beta11 * alpha11 * beta11;
    FLA_Scal_external( beta11, alpha11 );
    FLA_Scal_external( beta11, alpha11 );
 
    // alpha11 = alpha11 + a12t * b12t' + b12t * a12t';
    FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a12t, b12t, FLA_ONE, alpha11 );
 
    // a12t = a12t + 1/2 * y12t;
    FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
 
    // a12t   = a12t   * tril( B22 )';
    // a12t^T = conj(triu( B22 )) * a12t^T;
    FLA_Trmv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       B22, 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_3x3_to_2x2( &BTL, /**/ &BTR,       B00,  b01,    /**/ B02,
                                                     b10t, beta11, /**/ b12t,
                            /* ************** */  /* *********************** */
                              &BBL, /**/ &BBR,       B20,  b21,    /**/ B22,
                              FLA_TL );
 
    FLA_Cont_with_1x3_to_1x2( &yL,  /**/ &yR,        y10t, psi11, /**/  y12t,
                              FLA_LEFT );
  }
 
  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2cs_external(), FLA_Hemvc_external(), 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_Scal_external(), FLA_Trmv_external(), FLA_ZERO, and i.

Referenced by FLA_Eig_gest_nu().