ssycon (3p)

Name

ssycon - estimate the reciprocal of the condition number (in the 1-norm) of a real symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by SSYTRF

Synopsis

SUBROUTINE SSYCON(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
IWORK2, INFO)

CHARACTER*1 UPLO
INTEGER N, LDA, INFO
INTEGER IPIVOT(*), IWORK2(*)
REAL ANORM, RCOND
REAL A(LDA,*), WORK(*)

SUBROUTINE SSYCON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
IWORK2, INFO)

CHARACTER*1 UPLO
INTEGER*8 N, LDA, INFO
INTEGER*8 IPIVOT(*), IWORK2(*)
REAL ANORM, RCOND
REAL A(LDA,*), WORK(*)




F95 INTERFACE
SUBROUTINE SYCON(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
IWORK2, INFO)

CHARACTER(LEN=1) :: UPLO
INTEGER :: N, LDA, INFO
INTEGER, DIMENSION(:) :: IPIVOT, IWORK2
REAL :: ANORM, RCOND
REAL, DIMENSION(:) :: WORK
REAL, DIMENSION(:,:) :: A

SUBROUTINE SYCON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
IWORK2, INFO)

CHARACTER(LEN=1) :: UPLO
INTEGER(8) :: N, LDA, INFO
INTEGER(8), DIMENSION(:) :: IPIVOT, IWORK2
REAL :: ANORM, RCOND
REAL, DIMENSION(:) :: WORK
REAL, DIMENSION(:,:) :: A




C INTERFACE
#include <sunperf.h>

void  ssycon(char  uplo,  int  n, float *a, int lda, int *ipivot, float
anorm, float *rcond, int *info);

void ssycon_64(char uplo, long n, float *a,  long  lda,  long  *ipivot,
float anorm, float *rcond, long *info);

Description

Oracle Solaris Studio Performance Library                           ssycon(3P)



NAME
       ssycon  -  estimate  the  reciprocal  of  the  condition number (in the
       1-norm) of a real symmetric  matrix  A  using  the  factorization  A  =
       U*D*U**T or A = L*D*L**T computed by SSYTRF


SYNOPSIS
       SUBROUTINE SSYCON(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
             IWORK2, INFO)

       CHARACTER*1 UPLO
       INTEGER N, LDA, INFO
       INTEGER IPIVOT(*), IWORK2(*)
       REAL ANORM, RCOND
       REAL A(LDA,*), WORK(*)

       SUBROUTINE SSYCON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
             IWORK2, INFO)

       CHARACTER*1 UPLO
       INTEGER*8 N, LDA, INFO
       INTEGER*8 IPIVOT(*), IWORK2(*)
       REAL ANORM, RCOND
       REAL A(LDA,*), WORK(*)




   F95 INTERFACE
       SUBROUTINE SYCON(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
              IWORK2, INFO)

       CHARACTER(LEN=1) :: UPLO
       INTEGER :: N, LDA, INFO
       INTEGER, DIMENSION(:) :: IPIVOT, IWORK2
       REAL :: ANORM, RCOND
       REAL, DIMENSION(:) :: WORK
       REAL, DIMENSION(:,:) :: A

       SUBROUTINE SYCON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
              IWORK2, INFO)

       CHARACTER(LEN=1) :: UPLO
       INTEGER(8) :: N, LDA, INFO
       INTEGER(8), DIMENSION(:) :: IPIVOT, IWORK2
       REAL :: ANORM, RCOND
       REAL, DIMENSION(:) :: WORK
       REAL, DIMENSION(:,:) :: A




   C INTERFACE
       #include <sunperf.h>

       void  ssycon(char  uplo,  int  n, float *a, int lda, int *ipivot, float
                 anorm, float *rcond, int *info);

       void ssycon_64(char uplo, long n, float *a,  long  lda,  long  *ipivot,
                 float anorm, float *rcond, long *info);



PURPOSE
       ssycon estimates the reciprocal of the condition number (in the 1-norm)
       of a real symmetric matrix A using the factorization A = U*D*U**T or  A
       = L*D*L**T computed by SSYTRF.

       An  estimate  is  obtained  for norm(inv(A)), and the reciprocal of the
       condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).


ARGUMENTS
       UPLO (input)
                 Specifies whether the details of the factorization are stored
                 as an upper or lower triangular matrix.  = 'U':  Upper trian-
                 gular, form is A = U*D*U**T;
                 = 'L':  Lower triangular, form is A = L*D*L**T.


       N (input) The order of the matrix A.  N >= 0.


       A (input) The block diagonal matrix  D  and  the  multipliers  used  to
                 obtain the factor U or L as computed by SSYTRF.


       LDA (input)
                 The leading dimension of the array A.  LDA >= max(1,N).


       IPIVOT (input) INTEGER array, dimension (N)
                 Details  of  the interchanges and the block structure of D as
                 determined by SSYTRF.


       ANORM (input)
                 The 1-norm of the original matrix A.


       RCOND (output)
                 The reciprocal of the condition number of the matrix A,  com-
                 puted as RCOND = 1/(ANORM * AINVNM), where AINVNM is an esti-
                 mate of the 1-norm of inv(A) computed in this routine.


       WORK (workspace)
                 dimension(2*N)

       IWORK2 (workspace) INTEGER array, dimension (N)


       INFO (output)
                 = 0:  successful exit
                 < 0:  if INFO = -i, the i-th argument had an illegal value




                                  7 Nov 2015                        ssycon(3P)