zla_hercond_x (3p)

Name

zla_hercond_x - compute the infinity norm condition number of op(A)*diag(x) for Hermitian indefinite matrices

Synopsis

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


CHARACTER*1 UPLO

INTEGER N, LDA, LDAF, INFO

INTEGER IPIV(*)

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

DOUBLE PRECISION RWORK(*)


DOUBLE  PRECISION  FUNCTION ZLA_HERCOND_X_64(UPLO, N, A, LDA, AF, LDAF,
IPIV, X, INFO, WORK, RWORK)


CHARACTER*1 UPLO

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_HERCOND_X(UPLO, N, A, LDA, AF, LDAF, IPIV, X, INFO,
WORK, RWORK)


INTEGER :: N, LDA, LDAF, INFO

CHARACTER(LEN=1) :: UPLO

INTEGER, DIMENSION(:) :: IPIV

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

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

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


REAL(8)  FUNCTION  LA_HERCOND_X_64(UPLO,  N, A, LDA, AF, LDAF, IPIV, X,
INFO, WORK, RWORK)


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

CHARACTER(LEN=1) :: UPLO

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

double zla_hercond_x_64 (char uplo, long n, doublecomplex *a, long lda,
doublecomplex  *af,  long ldaf, long *ipiv, doublecomplex *x,
long *info);

Description

Oracle Solaris Studio Performance Library                    zla_hercond_x(3P)



NAME
       zla_hercond_x   -   compute  the  infinity  norm  condition  number  of
       op(A)*diag(x) for Hermitian indefinite matrices


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


       CHARACTER*1 UPLO

       INTEGER N, LDA, LDAF, INFO

       INTEGER IPIV(*)

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

       DOUBLE PRECISION RWORK(*)


       DOUBLE  PRECISION  FUNCTION ZLA_HERCOND_X_64(UPLO, N, A, LDA, AF, LDAF,
                 IPIV, X, INFO, WORK, RWORK)


       CHARACTER*1 UPLO

       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_HERCOND_X(UPLO, N, A, LDA, AF, LDAF, IPIV, X, INFO,
                 WORK, RWORK)


       INTEGER :: N, LDA, LDAF, INFO

       CHARACTER(LEN=1) :: UPLO

       INTEGER, DIMENSION(:) :: IPIV

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

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

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


       REAL(8)  FUNCTION  LA_HERCOND_X_64(UPLO,  N, A, LDA, AF, LDAF, IPIV, X,
                 INFO, WORK, RWORK)


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

       CHARACTER(LEN=1) :: UPLO

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

       double zla_hercond_x_64 (char uplo, long n, doublecomplex *a, long lda,
                 doublecomplex  *af,  long ldaf, long *ipiv, doublecomplex *x,
                 long *info);

PURPOSE
       zla_hercond_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 block diagonal matrix  D  and  the  multipliers  used  to
                 obtain the factor U or L as computed by ZHETRF.


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


       IPIV (input)
                 IPIV is INTEGER array, dimension (N)
                 Details  of  the interchanges and the block structure of D as
                 determined by CHETRF.


       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_hercond_x(3P)