dgetc2.f(3)

NAME
dgetc2.f

SYNOPSIS

  Functions/Subroutines
subroutine dgetc2 (N, A, LDA, IPIV, JPIV, INFO)
DGETC2 computes the LU factorization with complete pivoting of the general n-by-n matrix.

Function/Subroutine Documentation

  subroutine dgetc2 (integer N, double precision, dimension( lda, * ) A, integer LDA, integer, dimension( * ) IPIV, integer, dimension( * ) JPIV, integer INFO)

Purpose:

     DGETC2 computes an LU factorization with 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 the Level 2 BLAS algorithm.

Parameters
    N

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

    A

              A is DOUBLE PRECISION array, dimension (LDA, N)
              On entry, the n-by-n matrix A 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, i.e., 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
                    we try 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 dgetc2.f.

Author

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