cla_porcond_x (3p)

Name

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

Synopsis

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


CHARACTER*1 UPLO

INTEGER N, LDA, LDAF, INFO

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

REAL RWORK(*)


REAL  FUNCTION  CLA_PORCOND_X_64(UPLO,  N,  A,  LDA, AF, LDAF, X, INFO,
WORK, RWORK)


CHARACTER*1 UPLO

INTEGER*8 N, LDA, LDAF, INFO

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

REAL RWORK(*)


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


INTEGER :: N, LDA, LDAF, INFO

CHARACTER(LEN=1) :: UPLO

REAL, DIMENSION(:) :: RWORK

COMPLEX, DIMENSION(:) :: X, WORK

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


REAL 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

REAL, DIMENSION(:) :: RWORK

COMPLEX, DIMENSION(:) :: X, WORK

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


C INTERFACE
#include <sunperf.h>

float cla_porcond_x (char uplo, int n, floatcomplex *a, int lda, float-
complex *af, int ldaf, floatcomplex *x, int *info);

float  cla_porcond_x_64  (char uplo, long n, floatcomplex *a, long lda,
floatcomplex *af, long ldaf, floatcomplex *x, long *info);

Description

Oracle Solaris Studio Performance Library                    cla_porcond_x(3P)



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


SYNOPSIS
       REAL FUNCTION CLA_PORCOND_X(UPLO, N, A, LDA, AF, LDAF, X,  INFO,  WORK,
                 RWORK)


       CHARACTER*1 UPLO

       INTEGER N, LDA, LDAF, INFO

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

       REAL RWORK(*)


       REAL  FUNCTION  CLA_PORCOND_X_64(UPLO,  N,  A,  LDA, AF, LDAF, X, INFO,
                 WORK, RWORK)


       CHARACTER*1 UPLO

       INTEGER*8 N, LDA, LDAF, INFO

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

       REAL RWORK(*)


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


       INTEGER :: N, LDA, LDAF, INFO

       CHARACTER(LEN=1) :: UPLO

       REAL, DIMENSION(:) :: RWORK

       COMPLEX, DIMENSION(:) :: X, WORK

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


       REAL 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

       REAL, DIMENSION(:) :: RWORK

       COMPLEX, DIMENSION(:) :: X, WORK

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


   C INTERFACE
       #include <sunperf.h>

       float cla_porcond_x (char uplo, int n, floatcomplex *a, int lda, float-
                 complex *af, int ldaf, floatcomplex *x, int *info);

       float  cla_porcond_x_64  (char uplo, long n, floatcomplex *a, long lda,
                 floatcomplex *af, long ldaf, floatcomplex *x, long *info);


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


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


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


       RWORK (input)
                 RWORK is REAL array, dimension (N).
                 Workspace.




                                  7 Nov 2015                 cla_porcond_x(3P)