sspcon (3p)

Name

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

Synopsis

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

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

SUBROUTINE SSPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, IWORK2,
INFO)

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




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

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

SUBROUTINE SPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK,
IWORK2, INFO)

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




C INTERFACE
#include <sunperf.h>

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

void sspcon_64(char uplo, long n, float *a, long *ipivot, float  anorm,
float *rcond, long *info);

Description

Oracle Solaris Studio Performance Library                           sspcon(3P)



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


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

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

       SUBROUTINE SSPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, IWORK2,
             INFO)

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




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

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

       SUBROUTINE SPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK,
              IWORK2, INFO)

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




   C INTERFACE
       #include <sunperf.h>

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

       void sspcon_64(char uplo, long n, float *a, long *ipivot, float  anorm,
                 float *rcond, long *info);



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

       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) Real array, dimension (N*(N+1)/2) The block diagonal matrix D
                 and  the multipliers used to obtain the factor U or L as com-
                 puted by SSPTRF, stored as a packed triangular matrix.


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


       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)
                 Real array, dimension(2*N)

       IWORK2 (workspace)
                 Integer array, dimension (2*N)

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




                                  7 Nov 2015                        sspcon(3P)