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Updated: June 2017
 
 

cla_porcond_c (3p)

Name

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

Synopsis

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


CHARACTER*1 UPLO

LOGICAL CAPPLY

INTEGER N, LDA, LDAF, INFO

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

REAL C(*), RWORK(*)


REAL  FUNCTION  CLA_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

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

REAL C(*), RWORK(*)


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


INTEGER :: N, LDA, LDAF, INFO

CHARACTER(LEN=1) :: UPLO

REAL, DIMENSION(:) :: C, RWORK

COMPLEX, DIMENSION(:) :: WORK

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


REAL  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

REAL, DIMENSION(:) :: C, RWORK

COMPLEX, DIMENSION(:) :: WORK

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


C INTERFACE
#include <sunperf.h> float cla_porcond_c (char uplo, int  n,  floatcom-
plex  *a, int lda, floatcomplex *af, int ldaf, float *c, const int cap-
ply, int *info);

float cla_porcond_c_64 (char uplo, long n, floatcomplex *a,  long  lda,
floatcomplex  *af,  long  ldaf,  float  *c, long capply, long
*info);

Description

Oracle Solaris Studio Performance Library                    cla_porcond_c(3P)



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


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


       CHARACTER*1 UPLO

       LOGICAL CAPPLY

       INTEGER N, LDA, LDAF, INFO

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

       REAL C(*), RWORK(*)


       REAL  FUNCTION  CLA_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

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

       REAL C(*), RWORK(*)


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


       INTEGER :: N, LDA, LDAF, INFO

       CHARACTER(LEN=1) :: UPLO

       REAL, DIMENSION(:) :: C, RWORK

       COMPLEX, DIMENSION(:) :: WORK

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


       REAL  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

       REAL, DIMENSION(:) :: C, RWORK

       COMPLEX, DIMENSION(:) :: WORK

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


   C INTERFACE
       #include <sunperf.h> float cla_porcond_c (char uplo, int  n,  floatcom-
       plex  *a, int lda, floatcomplex *af, int ldaf, float *c, const int cap-
       ply, int *info);

       float cla_porcond_c_64 (char uplo, long n, floatcomplex *a,  long  lda,
                 floatcomplex  *af,  long  ldaf,  float  *c, long capply, long
                 *info);


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


       C (input)
                 C is REAL 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 array, dimension (2*N).
                 Workspace.


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




                                  7 Nov 2015                 cla_porcond_c(3P)