dsycon_rook (3p)

Name

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

Synopsis

SUBROUTINE DSYCON_ROOK(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
IWORK, INFO)

CHARACTER*1 UPLO
INTEGER N, LDA, INFO
INTEGER IPIV(*), IWORK(*)
DOUBLE PRECISION ANORM, RCOND
DOUBLE PRECISION A(LDA,*), WORK(*)

SUBROUTINE DSYCON_ROOK_64(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
IWORK, INFO)

CHARACTER*1 UPLO
INTEGER*8 N, LDA, INFO
INTEGER*8 IPIV(*), IWORK(*)
DOUBLE PRECISION ANORM, RCOND
DOUBLE PRECISION A(LDA,*), WORK(*)




F95 INTERFACE
SUBROUTINE SYCON_ROOK(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
IWORK, INFO)

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

SUBROUTINE SYCON_ROOK_64(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
IWORK, INFO)

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




C INTERFACE
#include <sunperf.h>

void  dsycon_rook(char uplo, int n, double *a, int lda, int *ipiv, dou-
ble anorm, double *rcond, int *info);

void dsycon_rook_64(char uplo, long n, double *a, long lda, long *ipiv,
double anorm, double *rcond, long *info);

Description

Oracle Solaris Studio Performance Library                      dsycon_rook(3P)



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


SYNOPSIS
       SUBROUTINE DSYCON_ROOK(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
             IWORK, INFO)

       CHARACTER*1 UPLO
       INTEGER N, LDA, INFO
       INTEGER IPIV(*), IWORK(*)
       DOUBLE PRECISION ANORM, RCOND
       DOUBLE PRECISION A(LDA,*), WORK(*)

       SUBROUTINE DSYCON_ROOK_64(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
             IWORK, INFO)

       CHARACTER*1 UPLO
       INTEGER*8 N, LDA, INFO
       INTEGER*8 IPIV(*), IWORK(*)
       DOUBLE PRECISION ANORM, RCOND
       DOUBLE PRECISION A(LDA,*), WORK(*)




   F95 INTERFACE
       SUBROUTINE SYCON_ROOK(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
              IWORK, INFO)

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

       SUBROUTINE SYCON_ROOK_64(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
              IWORK, INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void  dsycon_rook(char uplo, int n, double *a, int lda, int *ipiv, dou-
                 ble anorm, double *rcond, int *info);

       void dsycon_rook_64(char uplo, long n, double *a, long lda, long *ipiv,
                 double anorm, double *rcond, long *info);



PURPOSE
       dsycon 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 DSYTRF_ROOK.

       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 DSYTRF_ROOK.


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


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


       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)

       IWORK (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                   dsycon_rook(3P)