SRC/cgetc2.f(3)            Library Functions Manual            SRC/cgetc2.f(3)

NAME
       SRC/cgetc2.f

SYNOPSIS
   Functions/Subroutines
       subroutine cgetc2 (n, a, lda, ipiv, jpiv, info)
           CGETC2 computes the LU factorization with complete pivoting of the
           general n-by-n matrix.

Function/Subroutine Documentation
   subroutine cgetc2 (integer n, complex, dimension( lda, * ) a, integer lda,
       integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, integer
       info)
       CGETC2 computes the LU factorization with complete pivoting of the
       general n-by-n matrix.

       Purpose:


            CGETC2 computes an LU factorization, using complete pivoting, of the
            n-by-n matrix A. The factorization has the form A = P * L * U * Q,
            where P and Q are permutation matrices, L is lower triangular with
            unit diagonal elements and U is upper triangular.

            This is a level 1 BLAS version of the algorithm.

       Parameters
           N

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

           A

                     A is COMPLEX array, dimension (LDA, N)
                     On entry, the n-by-n matrix to be factored.
                     On exit, the factors L and U from the factorization
                     A = P*L*U*Q; the unit diagonal elements of L are not stored.
                     If U(k, k) appears to be less than SMIN, U(k, k) is given the
                     value of SMIN, giving a nonsingular perturbed system.

           LDA

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

           IPIV

                     IPIV is INTEGER array, dimension (N).
                     The pivot indices; for 1 <= i <= N, row i of the
                     matrix has been interchanged with row IPIV(i).

           JPIV

                     JPIV is INTEGER array, dimension (N).
                     The pivot indices; for 1 <= j <= N, column j of the
                     matrix has been interchanged with column JPIV(j).

           INFO

                     INFO is INTEGER
                      = 0: successful exit
                      > 0: if INFO = k, U(k, k) is likely to produce overflow if
                           one tries to solve for x in Ax = b. So U is perturbed
                           to avoid the overflow.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Contributors:
           Bo Kagstrom and Peter Poromaa, Department of Computing Science,
           Umea University, S-901 87 Umea, Sweden.

       Definition at line 110 of file cgetc2.f.

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

LAPACK                          Version 3.12.0                 SRC/cgetc2.f(3)