checon (3p)

Name

checon - estimate the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by CHETRF

Synopsis

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

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

SUBROUTINE CHECON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
INFO)

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




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

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

SUBROUTINE HECON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
INFO)

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




C INTERFACE
#include <sunperf.h>

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

void checon_64(char uplo, long n, complex *a, long lda,  long  *ipivot,
float anorm, float *rcond, long *info);

Description

Oracle Solaris Studio Performance Library                           checon(3P)



NAME
       checon  -  estimate the reciprocal of the condition number of a complex
       Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H
       computed by CHETRF


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

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

       SUBROUTINE CHECON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
             INFO)

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




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

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

       SUBROUTINE HECON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
              INFO)

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




   C INTERFACE
       #include <sunperf.h>

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

       void checon_64(char uplo, long n, complex *a, long lda,  long  *ipivot,
                 float anorm, float *rcond, long *info);



PURPOSE
       checon  estimates  the  reciprocal of the condition number of a complex
       Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H
       computed by CHETRF.

       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**H;
                 = 'L':  Lower triangular, form is A = L*D*L**H.


       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 CHETRF.


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


       IPIVOT (input)
                 Details  of  the interchanges and the block structure of D as
                 determined by CHETRF.


       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)

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




                                  7 Nov 2015                        checon(3P)