Managed Lapack Of Single.LUDecompose Method
Definition
Assembly: Extreme.Numerics.SinglePrecision (in Extreme.Numerics.SinglePrecision.dll) Version: 8.1.4
Overload List
LUDecompose( |
ZGETRF computes an LU decomposition of a general M-by-N matrix A
using partial pivoting with row interchanges.
The decomposition 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. |
LUDecompose( | Computes an LU factorization of a general M-by-N matrix A using partial pivoting with row interchanges. |
LUDecompose(Int32, Int32, Array2D<Complex<Single>>, Array1D<Int32>, Int32)
The decomposition 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.
public override void LUDecompose(
int m,
int n,
Array2D<Complex<float>> a,
Array1D<int> ipiv,
out int info
)
Parameters
- m Int32
- An integer specifying the number of rows of the matrix a. Must be greater than or equal to zero.
- n Int32
- An integer specifying the number of columns of the matrix a. Must be greater than or equal to zero.
- a Array2D<Complex<Single>>
- complex single precision array specifying the m-by-n matrix to be factored. On exit, the factors L and U from the decomposition A = P*L*U; the unit diagonal elements of L are not stored.
- ipiv Array1D<Int32>
- Integer array of length min(m,n) that will hold the pivot indexes. Row i of the matrix was interchanged with row ipiv[i].
- info Int32
- Reference to an integer containing a result code. Zero indicates success. Greater than zero indicates U(i,i) is exactly zero. The decomposition 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.
LUDecompose(Int32, Int32, Array2D<Single>, Array1D<Int32>, Int32)
Computes an LU factorization of a general M-by-N matrix A using partial pivoting with row interchanges.
public override void LUDecompose(
int m,
int n,
Array2D<float> a,
Array1D<int> ipiv,
out int info
)
Parameters
- m Int32
The number of rows of the matrix A. M >= 0.
- n Int32
The number of columns of the matrix A. N >= 0.
- a Array2D<Single>
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.
The leading dimension of the array A. LDA >= max(1,M).
- ipiv Array1D<Int32>
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 Int32
= 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.
Remarks
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.
This method corresponds to the LAPACK routine DGETRF.