SRC/cgecon.f(3)            Library Functions Manual            SRC/cgecon.f(3)

NAME
       SRC/cgecon.f

SYNOPSIS
   Functions/Subroutines
       subroutine cgecon (norm, n, a, lda, anorm, rcond, work, rwork, info)
           CGECON

Function/Subroutine Documentation
   subroutine cgecon (character norm, integer n, complex, dimension( lda, * )
       a, integer lda, real anorm, real rcond, complex, dimension( * ) work,
       real, dimension( * ) rwork, integer info)
       CGECON

       Purpose:


            CGECON estimates the reciprocal of the condition number of a general
            complex matrix A, in either the 1-norm or the infinity-norm, using
            the LU factorization computed by CGETRF.

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

       Parameters
           NORM

                     NORM is CHARACTER*1
                     Specifies whether the 1-norm condition number or the
                     infinity-norm condition number is required:
                     = '1' or 'O':  1-norm;
                     = 'I':         Infinity-norm.

           N

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

           A

                     A is COMPLEX array, dimension (LDA,N)
                     The factors L and U from the factorization A = P*L*U
                     as computed by CGETRF.

           LDA

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

           ANORM

                     ANORM is REAL
                     If NORM = '1' or 'O', the 1-norm of the original matrix A.
                     If NORM = 'I', the infinity-norm of the original matrix A.

           RCOND

                     RCOND is REAL
                     The reciprocal of the condition number of the matrix A,
                     computed as RCOND = 1/(norm(A) * norm(inv(A))).

           WORK

                     WORK is COMPLEX array, dimension (2*N)

           RWORK

                     RWORK is REAL array, dimension (2*N)

           INFO

                     INFO is INTEGER
                     = 0:  successful exit
                     < 0:  if INFO = -i, the i-th argument had an illegal value.
                           NaNs are illegal values for ANORM, and they propagate to
                           the output parameter RCOND.
                           Infinity is illegal for ANORM, and it propagates to the output
                           parameter RCOND as 0.
                     = 1:  if RCOND = NaN, or
                              RCOND = Inf, or
                              the computed norm of the inverse of A is 0.
                           In the latter, RCOND = 0 is returned.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 130 of file cgecon.f.

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

LAPACK                          Version 3.12.0                 SRC/cgecon.f(3)