GenericDecompositionOperations<T>.HermitianSolve Method

Definition

Namespace: Numerics.NET.LinearAlgebra.Implementation
Assembly: Numerics.NET.Generic (in Numerics.NET.Generic.dll) Version: 9.0.1

Overload List

HermitianSolve(MatrixTriangle, Int32, Int32, Array2D<TComplex>, Array1D<Int32>, Array2D<TComplex>, Int32)

Solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF.

HermitianSolve(MatrixTriangle, Int32, Int32, ReadOnlySpan2D<TComplex>, Span<Int32>, Span2D<TComplex>, Int32)

Solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF.

HermitianSolve(MatrixTriangle, Int32, Int32, ReadOnlySpan<Complex<T>>, Int32, ReadOnlySpan<Int32>, Span<Complex<T>>, Int32, Int32)

Solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF.

HermitianSolve(MatrixTriangle, Int32, Int32, ReadOnlySpan<Complex<T>>, Int32, ReadOnlySpan<Int32>, Span<Complex<T>>, Int32, Int32)

Solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF.

C# 
public override void HermitianSolve(
	MatrixTriangle storedTriangle,
	int n,
	int nrhs,
	ReadOnlySpan<Complex<T>> a,
	int lda,
	ReadOnlySpan<int> ipiv,
	Span<Complex<T>> b,
	int ldb,
	out int info
)

Parameters

storedTriangle  MatrixTriangle
 
n  Int32
            The order of the matrix A.  N >= 0.
nrhs  Int32
            The number of right hand sides, i.e., the number of columns
            of the matrix B.  NRHS >= 0.
a  ReadOnlySpan<Complex<T>>
            A is TComplex array, dimension (LDA,N)
            The block diagonal matrix D and the multipliers used to
            obtain the factor U or L as computed by ZHETRF.
lda  Int32
            The leading dimension of the array A.  LDA >= max(1,N).
ipiv  ReadOnlySpan<Int32>
            Dimension (N)
            Details of the interchanges and the block structure of D
            as determined by ZHETRF.
b  Span<Complex<T>>
            B is TComplex array, dimension (LDB,NRHS)
            On entry, the right hand side matrix B.
            On exit, the solution matrix X.
ldb  Int32
            The leading dimension of the array B.  LDB >= max(1,N).
info  Int32
            = 0:  successful exit
            < 0:  if INFO = -i, the i-th argument had an illegal value

See Also