SRC/zgetrf.f(3)

NAME
SRC/zgetrf.f

SYNOPSIS

  Functions/Subroutines
subroutine zgetrf (m, n, a, lda, ipiv, info)
ZGETRF

Function/Subroutine Documentation

  subroutine zgetrf (integer m, integer n, complex*16, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, integer info)

ZGETRF

Purpose:

    !>
    !> ZGETRF computes an LU factorization of a general M-by-N matrix A
    !> using partial pivoting with row interchanges.
    !>
    !> The factorization has the form
    !>    A = P * L * U
    !> where P is a permutation matrix, L is lower triangular with unit
    !> diagonal elements (lower trapezoidal if m > n), and U is upper
    !> triangular (upper trapezoidal if m < n).
    !>
    !> This is the right-looking Level 3 BLAS version of the algorithm.
    !>

Parameters
    M

    !>          M is INTEGER
    !>          The number of rows of the matrix A.  M >= 0.
    !>

    N

    !>          N is INTEGER
    !>          The number of columns of the matrix A.  N >= 0.
    !>

    A

    !>          A is COMPLEX*16 array, dimension (LDA,N)
    !>          On entry, the M-by-N matrix to be factored.
    !>          On exit, the factors L and U from the factorization
    !>          A = P*L*U; the unit diagonal elements of L are not stored.
    !>

    LDA

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

    IPIV

    !>          IPIV is INTEGER array, dimension (min(M,N))
    !>          The pivot indices; for 1 <= i <= min(M,N), row i of the
    !>          matrix was interchanged with row IPIV(i).
    !>

    INFO

    !>          INFO is INTEGER
    !>          = 0:  successful exit
    !>          < 0:  if INFO = -i, the i-th argument had an illegal value
    !>          > 0:  if INFO = i, U(i,i) is exactly zero. The factorization
    !>                has been completed, but the factor U is exactly
    !>                singular, and division by zero will occur if it is used
    !>                to solve a system of equations.
    !>

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 107 of file zgetrf.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.