zla_gercond_x (3p)

Name

zla_gercond_x - compute the infinity norm condition number of op(A)*diag(x) for general matrices

Synopsis

DOUBLE PRECISION FUNCTION ZLA_GERCOND_X(TRANS, N,  A,  LDA,  AF,  LDAF,
IPIV, X, INFO, WORK, RWORK)


CHARACTER*1 TRANS

INTEGER N, LDA, LDAF, INFO

INTEGER IPIV(*)

DOUBLE COMPLEX A(LDA,*), AF(LDAF,*), WORK(*), X(*)

DOUBLE PRECISION RWORK(*)


DOUBLE  PRECISION FUNCTION ZLA_GERCOND_X_64(TRANS, N, A, LDA, AF, LDAF,
IPIV, X, INFO, WORK, RWORK)


CHARACTER*1 TRANS

INTEGER*8 N, LDA, LDAF, INFO

INTEGER*8 IPIV(*)

DOUBLE COMPLEX A(LDA,*), AF(LDAF,*), WORK(*), X(*)

DOUBLE PRECISION RWORK(*)


F95 INTERFACE
REAL(8) FUNCTION LA_GERCOND_X(TRANS, N, A,  LDA,  AF,  LDAF,  IPIV,  X,
INFO, WORK, RWORK)


INTEGER :: N, LDA, LDAF, INFO

CHARACTER(LEN=1) :: TRANS

INTEGER, DIMENSION(:) :: IPIV

COMPLEX(8), DIMENSION(:) :: X, WORK

REAL(8), DIMENSION(:) :: RWORK

COMPLEX(8), DIMENSION(:,:) :: A, AF


REAL(8)  FUNCTION  LA_GERCOND_X_64(TRANS, N, A, LDA, AF, LDAF, IPIV, X,
INFO, WORK, RWORK)


INTEGER(8) :: N, LDA, LDAF, INFO

CHARACTER(LEN=1) :: TRANS

INTEGER(8), DIMENSION(:) :: IPIV

COMPLEX(8), DIMENSION(:) :: X, WORK

REAL(8), DIMENSION(:) :: RWORK

COMPLEX(8), DIMENSION(:,:) :: A, AF


C INTERFACE
#include <sunperf.h>

double zla_gercond_x (char trans, int n,  doublecomplex  *a,  int  lda,
doublecomplex *af, int ldaf, int *ipiv, doublecomplex *x, int
*info);

double zla_gercond_x_64 (char trans, long  n,  doublecomplex  *a,  long
lda,  doublecomplex *af, long ldaf, long *ipiv, doublecomplex *x, long
*info);

Description

Oracle Solaris Studio Performance Library                    zla_gercond_x(3P)



NAME
       zla_gercond_x   -   compute  the  infinity  norm  condition  number  of
       op(A)*diag(x) for general matrices


SYNOPSIS
       DOUBLE PRECISION FUNCTION ZLA_GERCOND_X(TRANS, N,  A,  LDA,  AF,  LDAF,
                 IPIV, X, INFO, WORK, RWORK)


       CHARACTER*1 TRANS

       INTEGER N, LDA, LDAF, INFO

       INTEGER IPIV(*)

       DOUBLE COMPLEX A(LDA,*), AF(LDAF,*), WORK(*), X(*)

       DOUBLE PRECISION RWORK(*)


       DOUBLE  PRECISION FUNCTION ZLA_GERCOND_X_64(TRANS, N, A, LDA, AF, LDAF,
                 IPIV, X, INFO, WORK, RWORK)


       CHARACTER*1 TRANS

       INTEGER*8 N, LDA, LDAF, INFO

       INTEGER*8 IPIV(*)

       DOUBLE COMPLEX A(LDA,*), AF(LDAF,*), WORK(*), X(*)

       DOUBLE PRECISION RWORK(*)


   F95 INTERFACE
       REAL(8) FUNCTION LA_GERCOND_X(TRANS, N, A,  LDA,  AF,  LDAF,  IPIV,  X,
                 INFO, WORK, RWORK)


       INTEGER :: N, LDA, LDAF, INFO

       CHARACTER(LEN=1) :: TRANS

       INTEGER, DIMENSION(:) :: IPIV

       COMPLEX(8), DIMENSION(:) :: X, WORK

       REAL(8), DIMENSION(:) :: RWORK

       COMPLEX(8), DIMENSION(:,:) :: A, AF


       REAL(8)  FUNCTION  LA_GERCOND_X_64(TRANS, N, A, LDA, AF, LDAF, IPIV, X,
                 INFO, WORK, RWORK)


       INTEGER(8) :: N, LDA, LDAF, INFO

       CHARACTER(LEN=1) :: TRANS

       INTEGER(8), DIMENSION(:) :: IPIV

       COMPLEX(8), DIMENSION(:) :: X, WORK

       REAL(8), DIMENSION(:) :: RWORK

       COMPLEX(8), DIMENSION(:,:) :: A, AF


   C INTERFACE
       #include <sunperf.h>

       double zla_gercond_x (char trans, int n,  doublecomplex  *a,  int  lda,
                 doublecomplex *af, int ldaf, int *ipiv, doublecomplex *x, int
                 *info);

       double zla_gercond_x_64 (char trans, long  n,  doublecomplex  *a,  long
        lda,  doublecomplex *af, long ldaf, long *ipiv, doublecomplex *x, long
        *info);



PURPOSE
       zla_gercond_x computes the infinity norm condition number  of  op(A)  *
       diag(X) where X is a COMPLEX*16 vector.


ARGUMENTS
       TRANS (input)
                 TRANS is CHARACTER*1
                 Specifies the form of the system of equations:
                 = 'N':  A * X = B     (No transpose)
                 = 'T':  A**T * X = B  (Transpose)
                 = 'C':  A**H * X = B  (Conjugate Transpose = Transpose)


       N (input)
                 N is INTEGER
                 The number of linear equations, i.e., the order of the matrix
                 A. N >= 0.


       A (input)
                 A is COMPLEX*16 array, dimension (LDA,N)
                 On entry, the N-by-N matrix A.


       LDA (input)
                 LDA is INTEGER
                 The leading dimension of the array A. LDA >= max(1,N).


       AF (input)
                 AF is COMPLEX*16 array, dimension (LDAF,N)
                 The factors L and U from the factorization  A=P*L*U  as  com-
                 puted by ZGETRF.


       LDAF (input)
                 LDAF is INTEGER
                 The leading dimension of the array AF. LDAF >= max(1,N).


       IPIV (input)
                 IPIV is INTEGER array, dimension (N)
                 The  pivot indices from the factorization A=P*L*U as computed
                 by ZGETRF; row i of the  matrix  was  interchanged  with  row
                 IPIV(i).


       X (input)
                 X is COMPLEX*16 array, dimension (N)
                 The vector X in the formula op(A)*diag(X).


       INFO (output)
                 INFO is INTEGER
                 = 0:  Successful exit.
                 i > 0:  The ith argument is invalid.


       WORK (input)
                 WORK is COMPLEX*16 array, dimension (2*N).
                 Workspace.


       RWORK (input)
                 RWORK is DOUBLE PRECISION array, dimension (N).
                 Workspace.




                                  7 Nov 2015                 zla_gercond_x(3P)