TESTING/LIN/spot03.f(3)    Library Functions Manual    TESTING/LIN/spot03.f(3)

NAME
       TESTING/LIN/spot03.f

SYNOPSIS
   Functions/Subroutines
       subroutine spot03 (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork,
           rcond, resid)
           SPOT03

Function/Subroutine Documentation
   subroutine spot03 (character uplo, integer n, real, dimension( lda, * ) a,
       integer lda, real, dimension( ldainv, * ) ainv, integer ldainv, real,
       dimension( ldwork, * ) work, integer ldwork, real, dimension( * )
       rwork, real rcond, real resid)
       SPOT03

       Purpose:


           !>
           !> SPOT03 computes the residual for a symmetric matrix times its
           !> inverse:
           !>    norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS ),
           !> where EPS is the machine epsilon.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          Specifies whether the upper or lower triangular part of the
           !>          symmetric matrix A is stored:
           !>          = 'U':  Upper triangular
           !>          = 'L':  Lower triangular
           !>

           N

           !>          N is INTEGER
           !>          The number of rows and columns of the matrix A.  N >= 0.
           !>

           A

           !>          A is REAL array, dimension (LDA,N)
           !>          The original symmetric matrix A.
           !>

           LDA

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

           AINV

           !>          AINV is REAL array, dimension (LDAINV,N)
           !>          On entry, the inverse of the matrix A, stored as a symmetric
           !>          matrix in the same format as A.
           !>          In this version, AINV is expanded into a full matrix and
           !>          multiplied by A, so the opposing triangle of AINV will be
           !>          changed; i.e., if the upper triangular part of AINV is
           !>          stored, the lower triangular part will be used as work space.
           !>

           LDAINV

           !>          LDAINV is INTEGER
           !>          The leading dimension of the array AINV.  LDAINV >= max(1,N).
           !>

           WORK

           !>          WORK is REAL array, dimension (LDWORK,N)
           !>

           LDWORK

           !>          LDWORK is INTEGER
           !>          The leading dimension of the array WORK.  LDWORK >= max(1,N).
           !>

           RWORK

           !>          RWORK is REAL array, dimension (N)
           !>

           RCOND

           !>          RCOND is REAL
           !>          The reciprocal of the condition number of A, computed as
           !>          ( 1/norm(A) ) / norm(AINV).
           !>

           RESID

           !>          RESID is REAL
           !>          norm(I - A*AINV) / ( N * norm(A) * norm(AINV) * EPS )
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 123 of file spot03.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0         TESTING/LIN/spot03.f(3)