zla_hercond_c (3p)

Name

zla_hercond_c - compute the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian indefinite matrices

Synopsis

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


CHARACTER*1 UPLO

LOGICAL CAPPLY

INTEGER N, LDA, LDAF, INFO

INTEGER IPIV(*)

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

DOUBLE PRECISION C(*), RWORK(*)


DOUBLE  PRECISION FUNCTION ZLA_HERCOND_C_64(UPLO, N, A, LDA, AF,  LDAF,
IPIV, C, CAPPLY, INFO, WORK, RWORK)


CHARACTER*1 UPLO

LOGICAL CAPPLY

INTEGER*8 N, LDA, LDAF, INFO

INTEGER*8 IPIV(*)

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

DOUBLE PRECISION C(*), RWORK(*)


F95 INTERFACE
REAL(8) FUNCTION LA_HERCOND_C(UPLO, N, A, LDA, AF,  LDAF, IPIV, C, CAP-
PLY, INFO, WORK, RWORK)


INTEGER :: N, LDA, LDAF, INFO

CHARACTER(LEN=1) :: UPLO

INTEGER, DIMENSION(:) :: IPIV

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

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

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


REAL(8)  FUNCTION  LA_HERCOND_C_64(UPLO, N, A, LDA, AF,  LDAF, IPIV, C,
CAPPLY, INFO, WORK, RWORK)


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

CHARACTER(LEN=1) :: UPLO

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

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

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

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


C INTERFACE
#include <sunperf.h>

double zla_hercond_c (char uplo, int n, doublecomplex *a, int lda, dou-
blecomplex  *af,  int ldaf, int *ipiv, double *c, int capply,
int *info)

double zla_hercond_c_64 (char uplo, long n, doublecomplex *a, long lda,
doublecomplex  *af,  long  ldaf,  long *ipiv, double *c, long
capply, long *info)

Description

Oracle Solaris Studio Performance Library                    zla_hercond_c(3P)



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


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


       CHARACTER*1 UPLO

       LOGICAL CAPPLY

       INTEGER N, LDA, LDAF, INFO

       INTEGER IPIV(*)

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

       DOUBLE PRECISION C(*), RWORK(*)


       DOUBLE  PRECISION FUNCTION ZLA_HERCOND_C_64(UPLO, N, A, LDA, AF,  LDAF,
                 IPIV, C, CAPPLY, INFO, WORK, RWORK)


       CHARACTER*1 UPLO

       LOGICAL CAPPLY

       INTEGER*8 N, LDA, LDAF, INFO

       INTEGER*8 IPIV(*)

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

       DOUBLE PRECISION C(*), RWORK(*)


   F95 INTERFACE
       REAL(8) FUNCTION LA_HERCOND_C(UPLO, N, A, LDA, AF,  LDAF, IPIV, C, CAP-
                 PLY, INFO, WORK, RWORK)


       INTEGER :: N, LDA, LDAF, INFO

       CHARACTER(LEN=1) :: UPLO

       INTEGER, DIMENSION(:) :: IPIV

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

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

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


       REAL(8)  FUNCTION  LA_HERCOND_C_64(UPLO, N, A, LDA, AF,  LDAF, IPIV, C,
                 CAPPLY, INFO, WORK, RWORK)


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

       CHARACTER(LEN=1) :: UPLO

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

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

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

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


   C INTERFACE
       #include <sunperf.h>

       double zla_hercond_c (char uplo, int n, doublecomplex *a, int lda, dou-
                 blecomplex  *af,  int ldaf, int *ipiv, double *c, int capply,
                 int *info)

       double zla_hercond_c_64 (char uplo, long n, doublecomplex *a, long lda,
                 doublecomplex  *af,  long  ldaf,  long *ipiv, double *c, long
                 capply, long *info)


PURPOSE
       zla_hercond_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 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.


       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_hercond_c(3P)