LinearAlgebraOperations.TriangularSolveInPlace Method

Definition

Namespace: Numerics.NET.LinearAlgebra
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.0

Overload List

TriangularSolveInPlace<T, TStorage, TStorage2D>(MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, TStorage2D, TStorage)

Solves a triangular system of equations.
C# 
public static void TriangularSolveInPlace<T, TStorage, TStorage2D>(
	MatrixTriangle storedTriangle,
	TransposeOperation transposeOperation,
	MatrixDiagonal diagonal,
	int n,
	TStorage2D a,
	TStorage x
)
where TStorage : Object, IStorageSlice<T>
where TStorage2D : Object, IStorage2D<T>

Parameters

storedTriangle  MatrixTriangle
Specifies whether the matrix is an upper or lower triangular matrix.
transposeOperation  TransposeOperation
Specifies the operation to be performed on the matrix a.
diagonal  MatrixDiagonal
Specifies whether or not a is unit triangular.
n  Int32
The number of rows and columns in the matrix a.
a  TStorage2D
A span that contains the elements of the matrix.
x  TStorage
A reference to a one-dimensional array containing the elements of the vector x. The elements of x are overwritten with the result.

Type Parameters

T
TStorage
TStorage2D

Remarks

This method is similar to the BLAS routine DTRSV.

TriangularSolveInPlace<T, TStorage2D>(MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, T, TStorage2D, TStorage2D)

Solution of a triangular linear system with multiple right-hand sides.
C# 
public static void TriangularSolveInPlace<T, TStorage2D>(
	MatrixOperationSide side,
	MatrixTriangle storedTriangle,
	TransposeOperation transA,
	MatrixDiagonal diag,
	int m,
	int n,
	T alpha,
	TStorage2D a,
	TStorage2D b
)
where TStorage2D : Object, IStorage2D<T>

Parameters

side  MatrixOperationSide
Specifies on which side the triangular matrix a is to be multiplied.
storedTriangle  MatrixTriangle
Specifies whether the elements of the matrix a are stored in the upper or lower triangular part.
transA  TransposeOperation
Specifies the operation to be performed on the matrix a.
diag  MatrixDiagonal
Specifies whether or not a is unit triangular.
m  Int32
The number of rows in the matrix a and the matrix b.
n  Int32
The number of columns in the matrix b and the matrix b.
alpha  T
The scalar used to multiply the matrix-vector product.
a  TStorage2D
A span that contains the elements of the first matrix.
b  TStorage2D
A span that contains the elements of the second matrix.

Type Parameters

T
TStorage2D

See Also