zla_porcond_x (3p)

Name

zla_porcond_x - compute the infinity norm condition number of op(A)*diag(x) for Hermitian positive-definite matrices

Synopsis

DOUBLE PRECISION FUNCTION ZLA_PORCOND_X(UPLO, N, A, LDA, AF,  LDAF,  X,
INFO, WORK, RWORK)


CHARACTER*1 UPLO

INTEGER N, LDA, LDAF, INFO

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

DOUBLE PRECISION RWORK(*)


DOUBLE  PRECISION  FUNCTION ZLA_PORCOND_X_64(UPLO, N, A, LDA, AF, LDAF,
X, INFO, WORK, RWORK)


CHARACTER*1 UPLO

INTEGER*8 N, LDA, LDAF, INFO

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

DOUBLE PRECISION RWORK(*)


F95 INTERFACE
REAL(8) FUNCTION LA_PORCOND_X(UPLO, N, A, LDA, AF, LDAF, X, INFO, WORK,
RWORK)


INTEGER :: N, LDA, LDAF, INFO

CHARACTER(LEN=1) :: UPLO

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

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

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


REAL(8)  FUNCTION  LA_PORCOND_X_64(UPLO,  N, A, LDA, AF, LDAF, X, INFO,
WORK, RWORK)


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

CHARACTER(LEN=1) :: UPLO

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

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

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


C INTERFACE
#include <sunperf.h>

double zla_porcond_x (char uplo, int n, doublecomplex *a, int lda, dou-
blecomplex *af, int ldaf, doublecomplex *x, int *info);

double zla_porcond_x_64 (char uplo, long n, doublecomplex *a, long lda,
doublecomplex *af, long ldaf, doublecomplex *x, long *info);

Description

Oracle Solaris Studio Performance Library                    zla_porcond_x(3P)



NAME
       zla_porcond_x   -   compute  the  infinity  norm  condition  number  of
       op(A)*diag(x) for Hermitian positive-definite matrices


SYNOPSIS
       DOUBLE PRECISION FUNCTION ZLA_PORCOND_X(UPLO, N, A, LDA, AF,  LDAF,  X,
                 INFO, WORK, RWORK)


       CHARACTER*1 UPLO

       INTEGER N, LDA, LDAF, INFO

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

       DOUBLE PRECISION RWORK(*)


       DOUBLE  PRECISION  FUNCTION ZLA_PORCOND_X_64(UPLO, N, A, LDA, AF, LDAF,
                 X, INFO, WORK, RWORK)


       CHARACTER*1 UPLO

       INTEGER*8 N, LDA, LDAF, INFO

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

       DOUBLE PRECISION RWORK(*)


   F95 INTERFACE
       REAL(8) FUNCTION LA_PORCOND_X(UPLO, N, A, LDA, AF, LDAF, X, INFO, WORK,
                 RWORK)


       INTEGER :: N, LDA, LDAF, INFO

       CHARACTER(LEN=1) :: UPLO

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

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

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


       REAL(8)  FUNCTION  LA_PORCOND_X_64(UPLO,  N, A, LDA, AF, LDAF, X, INFO,
                 WORK, RWORK)


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

       CHARACTER(LEN=1) :: UPLO

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

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

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


   C INTERFACE
       #include <sunperf.h>

       double zla_porcond_x (char uplo, int n, doublecomplex *a, int lda, dou-
                 blecomplex *af, int ldaf, doublecomplex *x, int *info);

       double zla_porcond_x_64 (char uplo, long n, doublecomplex *a, long lda,
                 doublecomplex *af, long ldaf, doublecomplex *x, long *info);


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


ARGUMENTS
       UPLO (input)
                 UPLO is CHARACTER*1
                 = 'U':  Upper triangle of A is stored;
                 = 'L':  Lower triangle of A is stored.


       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 triangular factor U or L from the Cholesky  factorization
                 A=U**H*U or A=L*L**H, as computed by ZPOTRF.


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


       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_porcond_x(3P)