SSPCON(3)      LAPACK routine of NEC Numeric Library Collection      SSPCON(3)



NAME
       SSPCON

SYNOPSIS
       SUBROUTINE SSPCON (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, IWORK, 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)
                     UPLO is CHARACTER*1
                     Specifies whether the details of the factorization are stored
                     as an upper or lower triangular matrix.
                     = 'U':  Upper triangular, form is A = U*D*U**T;
                     = 'L':  Lower triangular, form is A = L*D*L**T.

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

           AP        (input)
                     AP is REAL array, dimension (N*(N+1)/2)
                     The block diagonal matrix D and the multipliers used to
                     obtain the factor U or L as computed by SSPTRF, stored as a
                     packed triangular matrix.

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

           ANORM     (input)
                     ANORM is REAL
                     The 1-norm of the original matrix A.

           RCOND     (output)
                     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      (output)
                     WORK is REAL array, dimension (2*N)

           IWORK     (output)
                     IWORK is INTEGER array, dimension (N)

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



LAPACK routine                  31 October 2017                      SSPCON(3)