ZGETRF(3F) ZGETRF(3F)
ZGETRF - compute an LU factorization of a general M-by-N matrix A using
partial pivoting with row interchanges
SUBROUTINE ZGETRF( M, N, A, LDA, IPIV, INFO )
INTEGER INFO, LDA, M, N
INTEGER IPIV( * )
COMPLEX*16 A( LDA, * )
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.
M (input) INTEGER
The number of rows of the matrix A. M >= 0.
N (input) INTEGER
The number of columns of the matrix A. N >= 0.
A (input/output) 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 (input) INTEGER
The leading dimension of the array A. LDA >= max(1,M).
IPIV (output) 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 (output) 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.
ZGETRF(3F) ZGETRF(3F)
ZGETRF - compute an LU factorization of a general M-by-N matrix A using
partial pivoting with row interchanges
SUBROUTINE ZGETRF( M, N, A, LDA, IPIV, INFO )
INTEGER INFO, LDA, M, N
INTEGER IPIV( * )
COMPLEX*16 A( LDA, * )
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.
M (input) INTEGER
The number of rows of the matrix A. M >= 0.
N (input) INTEGER
The number of columns of the matrix A. N >= 0.
A (input/output) 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 (input) INTEGER
The leading dimension of the array A. LDA >= max(1,M).
IPIV (output) 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 (output) 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.
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