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Updated: June 2017
 
 

zla_porcond_c (3p)

Name

zla_porcond_c - compute the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian positive-definite matrices

Synopsis

DOUBLE PRECISION FUNCTION ZLA_PORCOND_C(UPLO, N, A, LDA, AF,  LDAF,  C,
CAPPLY, INFO, WORK, RWORK)


CHARACTER*1 UPLO

LOGICAL CAPPLY

INTEGER N, LDA, LDAF, INFO

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

DOUBLE PRECISION C(*), RWORK(*)


DOUBLE  PRECISION FUNCTION ZLA_PORCOND_C_64(UPLO, N, A, LDA, AF,  LDAF,
C, CAPPLY, INFO, WORK, RWORK)


CHARACTER*1 UPLO

LOGICAL CAPPLY

INTEGER*8 N, LDA, LDAF, INFO

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

DOUBLE PRECISION C(*), RWORK(*)


F95 INTERFACE
REAL(8) FUNCTION LA_PORCOND_C(UPLO, N, A, LDA, AF,   LDAF,  C,  CAPPLY,
INFO, WORK, RWORK)


INTEGER :: N, LDA, LDAF, INFO

CHARACTER(LEN=1) :: UPLO

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

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

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


REAL(8) FUNCTION LA_PORCOND_C_64(UPLO, N, A, LDA, AF,  LDAF, C, CAPPLY,
INFO, WORK, RWORK)


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

CHARACTER(LEN=1) :: UPLO

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

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

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


C INTERFACE
#include <sunperf.h> double zla_porcond_c (char uplo, int n, doublecom-
plex  *a,  int  lda,  doublecomplex *af, int ldaf, double *c, const int
capply, int *info);

double zla_porcond_c_64 (char uplo, long n, doublecomplex *a, long lda,
doublecomplex  *af,  long  ldaf, double *c, long capply, long
*info);

Description

Oracle Solaris Studio Performance Library                    zla_porcond_c(3P)



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


SYNOPSIS
       DOUBLE PRECISION FUNCTION ZLA_PORCOND_C(UPLO, N, A, LDA, AF,  LDAF,  C,
                 CAPPLY, INFO, WORK, RWORK)


       CHARACTER*1 UPLO

       LOGICAL CAPPLY

       INTEGER N, LDA, LDAF, INFO

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

       DOUBLE PRECISION C(*), RWORK(*)


       DOUBLE  PRECISION FUNCTION ZLA_PORCOND_C_64(UPLO, N, A, LDA, AF,  LDAF,
                 C, CAPPLY, INFO, WORK, RWORK)


       CHARACTER*1 UPLO

       LOGICAL CAPPLY

       INTEGER*8 N, LDA, LDAF, INFO

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

       DOUBLE PRECISION C(*), RWORK(*)


   F95 INTERFACE
       REAL(8) FUNCTION LA_PORCOND_C(UPLO, N, A, LDA, AF,   LDAF,  C,  CAPPLY,
                 INFO, WORK, RWORK)


       INTEGER :: N, LDA, LDAF, INFO

       CHARACTER(LEN=1) :: UPLO

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

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

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


       REAL(8) FUNCTION LA_PORCOND_C_64(UPLO, N, A, LDA, AF,  LDAF, C, CAPPLY,
                 INFO, WORK, RWORK)


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

       CHARACTER(LEN=1) :: UPLO

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

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

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


   C INTERFACE
       #include <sunperf.h> double zla_porcond_c (char uplo, int n, doublecom-
       plex  *a,  int  lda,  doublecomplex *af, int ldaf, double *c, const int
       capply, int *info);

       double zla_porcond_c_64 (char uplo, long n, doublecomplex *a, long lda,
                 doublecomplex  *af,  long  ldaf, double *c, long capply, long
                 *info);


PURPOSE
       zla_porcond_c Computes the infinity norm condition number  of  op(A)  *
       inv(diag(C)) where C is a DOUBLE PRECISION 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).


       C (input)
                 C is DOUBLE PRECISION array, dimension (N)
                 The vector C in the formula op(A) * inv(diag(C)).


       CAPPLY (input)
                 CAPPLY is LOGICAL
                 If .TRUE. then access the vector C in the formula above.


       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_c(3P)