NAME

       spocon.f -

SYNOPSIS

   Functions/Subroutines
       subroutine spocon (UPLO, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO)
           SPOCON

Function/Subroutine Documentation

   subroutine spocon (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, realANORM,
       realRCOND, real, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO)
       SPOCON

       Purpose:

            SPOCON estimates the reciprocal of the condition number (in the
            1-norm) of a real symmetric positive definite matrix using the
            Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF.

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

       Parameters:
           UPLO

                     UPLO is CHARACTER*1
                     = 'U':  Upper triangle of A is stored;
                     = 'L':  Lower triangle of A is stored.

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     A is REAL array, dimension (LDA,N)
                     The triangular factor U or L from the Cholesky factorization
                     A = U**T*U or A = L*L**T, as computed by SPOTRF.

           LDA

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

           ANORM

                     ANORM is REAL
                     The 1-norm (or infinity-norm) of the symmetric matrix A.

           RCOND

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

           WORK

                     WORK is REAL array, dimension (3*N)

           IWORK

                     IWORK is INTEGER array, dimension (N)

           INFO

                     INFO is INTEGER
                     = 0:  successful exit
                     < 0:  if INFO = -i, the i-th argument had an illegal value

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           November 2011

       Definition at line 121 of file spocon.f.

Author

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