dla_porcond (3p)

Name

dla_porcond - tive-definite matrix

Synopsis

DOUBLE PRECISION FUNCTION DLA_PORCOND(UPLO, N, A, LDA, AF, LDAF, CMODE,
C, INFO, WORK, IWORK)


CHARACTER*1 UPLO

INTEGER N, LDA, LDAF, INFO, CMODE

DOUBLE PRECISION A(LDA,*), AF(LDAF,*), WORK(*), C(*)

INTEGER IWORK(*)


DOUBLE  PRECISION  FUNCTION  DLA_PORCOND_64(UPLO,  N, A, LDA, AF, LDAF,
CMODE, C, INFO, WORK, IWORK)


CHARACTER*1 UPLO

INTEGER*8 N, LDA, LDAF, INFO, CMODE

DOUBLE PRECISION A(LDA,*), AF(LDAF,*), WORK(*), C(*)

INTEGER*8 IWORK(*)


F95 INTERFACE
REAL(8) FUNCTION LA_PORCOND(UPLO, N, A, LDA, AF, LDAF, CMODE, C,  INFO,
WORK, IWORK)


INTEGER :: N, LDA, LDAF, CMODE, INFO

CHARACTER(LEN=1) :: UPLO

INTEGER, DIMENSION(:) :: IWORK

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

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


REAL(8)  FUNCTION  LA_PORCOND_64(UPLO,  N,  A, LDA, AF, LDAF, CMODE, C,
INFO, WORK, IWORK)


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

CHARACTER(LEN=1) :: UPLO

INTEGER(8), DIMENSION(:) :: IWORK

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

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


C INTERFACE
#include <sunperf.h>

double dla_porcond (char uplo, int n, double *a, int lda,  double  *af,
int ldaf, int cmode, double *c, int *info);

double  dla_porcond_64  (char uplo, long n, double *a, long lda, double
*af, long ldaf, long cmode, double *c, long *info);

Description

Oracle Solaris Studio Performance Library                      dla_porcond(3P)



NAME
       dla_porcond - estimate the Skeel condition number for a symmetric posi-
       tive-definite matrix


SYNOPSIS
       DOUBLE PRECISION FUNCTION DLA_PORCOND(UPLO, N, A, LDA, AF, LDAF, CMODE,
                 C, INFO, WORK, IWORK)


       CHARACTER*1 UPLO

       INTEGER N, LDA, LDAF, INFO, CMODE

       DOUBLE PRECISION A(LDA,*), AF(LDAF,*), WORK(*), C(*)

       INTEGER IWORK(*)


       DOUBLE  PRECISION  FUNCTION  DLA_PORCOND_64(UPLO,  N, A, LDA, AF, LDAF,
                 CMODE, C, INFO, WORK, IWORK)


       CHARACTER*1 UPLO

       INTEGER*8 N, LDA, LDAF, INFO, CMODE

       DOUBLE PRECISION A(LDA,*), AF(LDAF,*), WORK(*), C(*)

       INTEGER*8 IWORK(*)


   F95 INTERFACE
       REAL(8) FUNCTION LA_PORCOND(UPLO, N, A, LDA, AF, LDAF, CMODE, C,  INFO,
                 WORK, IWORK)


       INTEGER :: N, LDA, LDAF, CMODE, INFO

       CHARACTER(LEN=1) :: UPLO

       INTEGER, DIMENSION(:) :: IWORK

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

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


       REAL(8)  FUNCTION  LA_PORCOND_64(UPLO,  N,  A, LDA, AF, LDAF, CMODE, C,
                 INFO, WORK, IWORK)


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

       CHARACTER(LEN=1) :: UPLO

       INTEGER(8), DIMENSION(:) :: IWORK

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

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


   C INTERFACE
       #include <sunperf.h>

       double dla_porcond (char uplo, int n, double *a, int lda,  double  *af,
                 int ldaf, int cmode, double *c, int *info);

       double  dla_porcond_64  (char uplo, long n, double *a, long lda, double
                 *af, long ldaf, long cmode, double *c, long *info);


PURPOSE
       dla_porcond Estimates the Skeel condition number of op(A)*op2(C)
       where op2 is determined by CMODE as follows:
       CMODE =  1    op2(C) = C
       CMODE =  0    op2(C) = I
       CMODE = -1    op2(C) = inv(C)
       The Skeel condition number cond(A)=norminf(|inv(A)||A|) is computed  by
       computing  scaling  factors R such that diag(R)*A*op2(C) is row equili-
       brated and computing the standard infinity-norm condition number.


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 DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (LDAF,N)
                 The  triangular factor U or L from the Cholesky factorization
                 A=U**T*U or A=L*L**T, as computed by DPOTRF.


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


       CMODE (input)
                 CMODE is INTEGER
                 Determines op2(C) in the formula op(A)*op2(C) as follows:
                 CMODE =  1    op2(C) = C
                 CMODE =  0    op2(C) = I
                 CMODE = -1    op2(C) = inv(C)


       C (input)
                 C is DOUBLE PRECISION array, dimension (N)
                 The vector C in the formula op(A)*op2(C).


       INFO (output)
                 INFO is INTEGER
                 = 0:  Successful exit.
                 i > 0:  The ith argument is invalid.


       WORK (input)
                 WORK is DOUBLE PRECISION array, dimension (3*N).
                 Workspace.


       IWORK (input)
                 IWORK is INTEGER array, dimension (N).
                 Workspace.




                                  7 Nov 2015                   dla_porcond(3P)