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)