dla_syrcond (3p)

Name

dla_syrcond - estimate the Skeel condition number for a symmetric indefinite matrix

Synopsis

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


CHARACTER*1 UPLO

INTEGER N, LDA, LDAF, INFO, CMODE

INTEGER IWORK(*), IPIV(*)

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


DOUBLE  PRECISION  FUNCTION  DLA_SYRCOND_64(UPLO,  N, A, LDA, AF, LDAF,
IPIV, CMODE, C, INFO, WORK, IWORK)


CHARACTER*1 UPLO

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

INTEGER*8 IWORK(*), IPIV(*)

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


F95 INTERFACE
REAL(8) FUNCTION LA_SYRCOND(UPLO, N, A, LDA, AF, LDAF,  IPIV, 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_SYRCOND_64(UPLO, N, A, LDA, AF, LDAF,  IPIV, 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_syrcond (char uplo, int n, double *a, int lda,  double  *af,
int ldaf, int cmode, double *c, int *info);

double  dla_syrcond_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_syrcond(3P)



NAME
       dla_syrcond  -  estimate  the  Skeel  condition  number for a symmetric
       indefinite matrix


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


       CHARACTER*1 UPLO

       INTEGER N, LDA, LDAF, INFO, CMODE

       INTEGER IWORK(*), IPIV(*)

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


       DOUBLE  PRECISION  FUNCTION  DLA_SYRCOND_64(UPLO,  N, A, LDA, AF, LDAF,
                 IPIV, CMODE, C, INFO, WORK, IWORK)


       CHARACTER*1 UPLO

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

       INTEGER*8 IWORK(*), IPIV(*)

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


   F95 INTERFACE
       REAL(8) FUNCTION LA_SYRCOND(UPLO, N, A, LDA, AF, LDAF,  IPIV, 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_SYRCOND_64(UPLO, N, A, LDA, AF, LDAF,  IPIV, 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_syrcond (char uplo, int n, double *a, int lda,  double  *af,
                 int ldaf, int cmode, double *c, int *info);

       double  dla_syrcond_64  (char uplo, long n, double *a, long lda, double
                 *af, long ldaf, long cmode, double *c, long *info);


PURPOSE
       dla_syrcond 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 condi-
       tion  number  cond(A) = norminf( |inv(A)||A| ) is computed by computing
       scaling factors R such that diag(R)*A*op2(C) is  row  equilibrated  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 block diagonal matrix  D  and  the  multipliers  used  to
                 obtain the factor U or L as computed by DSYTRF.


       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 DSYTRF.


       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_syrcond(3P)