GenericDecompositionOperations<T>.SymmetricSolve Method

Definition

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

Overload List

SymmetricSolve(MatrixTriangle, Int32, Int32, Array2D<TReal>, Array1D<Int32>, Array2D<TReal>, Int32)	Solves a system of linear equations AX = B with a real symmetric matrix A using the factorization A = UDU^T or A = LD*L^T computed by DSYTRF.
SymmetricSolve(MatrixTriangle, Int32, Int32, ReadOnlySpan2D<TReal>, ReadOnlySpan<Int32>, Span2D<TReal>, Int32)	Solves a system of linear equations AX = B with a real symmetric matrix A using the factorization A = UDU^T or A = LD*L^T computed by DSYTRF.
SymmetricSolve(MatrixTriangle, Int32, Int32, ReadOnlySpan<T>, Int32, ReadOnlySpan<Int32>, Span<T>, Int32, Int32)	Solves a system of linear equations AX = B with a real symmetric matrix A using the factorization A = UDU^T or A = LD*L^T computed by DSYTRF.

SymmetricSolve(MatrixTriangle, Int32, Int32, ReadOnlySpan<T>, Int32, ReadOnlySpan<Int32>, Span<T>, Int32, Int32)

Solves a system of linear equations A*X = B with a real symmetric matrix A using the factorization A = U*D*U^T or A = L*D*L^T computed by DSYTRF.

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

Visual Basic

Public Overrides Sub SymmetricSolve ( 
	storedTriangle As MatrixTriangle,
	n As Integer,
	nrhs As Integer,
	a As ReadOnlySpan(Of T),
	lda As Integer,
	ipiv As ReadOnlySpan(Of Integer),
	b As Span(Of T),
	ldb As Integer,
	<OutAttribute> ByRef info As Integer
)

C++/CLI

public:
virtual void SymmetricSolve(
	MatrixTriangle storedTriangle, 
	int n, 
	int nrhs, 
	ReadOnlySpan<T> a, 
	int lda, 
	ReadOnlySpan<int> ipiv, 
	Span<T> b, 
	int ldb, 
	[OutAttribute] int% info
) override

abstract SymmetricSolve : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        nrhs : int * 
        a : ReadOnlySpan<'T> * 
        lda : int * 
        ipiv : ReadOnlySpan<int> * 
        b : Span<'T> * 
        ldb : int * 
        info : int byref -> unit 
override SymmetricSolve : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        nrhs : int * 
        a : ReadOnlySpan<'T> * 
        lda : int * 
        ipiv : ReadOnlySpan<int> * 
        b : Span<'T> * 
        ldb : int * 
        info : int byref -> unit

Parameters

storedTriangle MatrixTriangle

            Specifies whether the details of the factorization are stored
            as an upper or lower triangular matrix.
            = 'U':  Upper triangular, form is A = U*D*U^T;
            = 'L':  Lower triangular, form is A = L*D*L^T.

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<T>

            A is TReal array, dimension (LDA,N)
            The block diagonal matrix D and the multipliers used to
            obtain the factor U or L as computed by DSYTRF.

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 DSYTRF.

b Span<T>

            B is TReal 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

Remarks

This method corresponds to the LAPACK routine ?SYTRS.