ManagedLinearAlgebraOperations.TriangularSolveInPlace Method

Definition

Namespace: Extreme.Mathematics.LinearAlgebra.Implementation
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

Overload List

TriangularSolveInPlace(MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2D<Complex<Double>>, ArraySlice<Complex<Double>>)	Solves a triangular system of equations.
TriangularSolveInPlace(MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2D<Double>, ArraySlice<Double>)	Solves a triangular system of equations.
TriangularSolveInPlace(MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, Complex<Double>, Array2D<Complex<Double>>, Array2D<Complex<Double>>)	Solution of a triangular linear system with multiple right-hand sides.
TriangularSolveInPlace(MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, Double, Array2D<Double>, Array2D<Double>)	Solution of a triangular linear system with multiple right-hand sides.

TriangularSolveInPlace(MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2D<Complex<Double>>, ArraySlice<Complex<Double>>)

Solves a triangular system of equations.

public override void TriangularSolveInPlace(
	MatrixTriangle storedTriangle,
	TransposeOperation transA,
	MatrixDiagonal diag,
	int n,
	Array2D<Complex<double>> a,
	ArraySlice<Complex<double>> x
)

Visual Basic

Public Overrides Sub TriangularSolveInPlace ( 
	storedTriangle As MatrixTriangle,
	transA As TransposeOperation,
	diag As MatrixDiagonal,
	n As Integer,
	a As Array2D(Of Complex(Of Double)),
	x As ArraySlice(Of Complex(Of Double))
)

C++/CLI

public:
virtual void TriangularSolveInPlace(
	MatrixTriangle storedTriangle, 
	TransposeOperation transA, 
	MatrixDiagonal diag, 
	int n, 
	Array2D<Complex<double>> a, 
	ArraySlice<Complex<double>> x
) override

abstract TriangularSolveInPlace : 
        storedTriangle : MatrixTriangle * 
        transA : TransposeOperation * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<Complex<float>> * 
        x : ArraySlice<Complex<float>> -> unit 
override TriangularSolveInPlace : 
        storedTriangle : MatrixTriangle * 
        transA : TransposeOperation * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<Complex<float>> * 
        x : ArraySlice<Complex<float>> -> unit

Parameters

storedTriangle MatrixTriangle: Specifies whether the matrix is an upper or lower triangular matrix.
transA TransposeOperation: Specifies the operation to be performed on the matrix a.
diag MatrixDiagonal: Specifies whether or not a is unit triangular.
n Int32: The number of rows and columns in the matrix a.
a Array2D<Complex<Double>>: Reference to the first element in a one-dimensional array that contains the elements of the matrix.
x ArraySlice<Complex<Double>>: A reference to a one-dimensional array containing the elements of the vector x. The elements of x are overwritten with the result.

Implements

ILinearAlgebraOperations<T>.TriangularSolveInPlace(MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2D<T>, ArraySlice<T>)

TriangularSolveInPlace(MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2D<Double>, ArraySlice<Double>)

Solves a triangular system of equations.

public override void TriangularSolveInPlace(
	MatrixTriangle storedTriangle,
	TransposeOperation transA,
	MatrixDiagonal diag,
	int n,
	Array2D<double> a,
	ArraySlice<double> x
)

Visual Basic

Public Overrides Sub TriangularSolveInPlace ( 
	storedTriangle As MatrixTriangle,
	transA As TransposeOperation,
	diag As MatrixDiagonal,
	n As Integer,
	a As Array2D(Of Double),
	x As ArraySlice(Of Double)
)

C++/CLI

public:
virtual void TriangularSolveInPlace(
	MatrixTriangle storedTriangle, 
	TransposeOperation transA, 
	MatrixDiagonal diag, 
	int n, 
	Array2D<double> a, 
	ArraySlice<double> x
) override

abstract TriangularSolveInPlace : 
        storedTriangle : MatrixTriangle * 
        transA : TransposeOperation * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<float> * 
        x : ArraySlice<float> -> unit 
override TriangularSolveInPlace : 
        storedTriangle : MatrixTriangle * 
        transA : TransposeOperation * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<float> * 
        x : ArraySlice<float> -> unit

Parameters

storedTriangle MatrixTriangle: Specifies whether the matrix is an upper or lower triangular matrix.
transA TransposeOperation: Specifies the operation to be performed on the matrix a.
diag MatrixDiagonal: Specifies whether or not a is unit triangular.
n Int32: The number of rows and columns in the matrix a.
a Array2D<Double>: Reference to the first element in a one-dimensional array that contains the elements of the matrix.
x ArraySlice<Double>: A reference to a one-dimensional array containing the elements of the vector x. The elements of x are overwritten with the result.

Implements

ILinearAlgebraOperations<T>.TriangularSolveInPlace(MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2D<T>, ArraySlice<T>)

TriangularSolveInPlace(MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, Complex<Double>, Array2D<Complex<Double>>, Array2D<Complex<Double>>)

Solution of a triangular linear system with multiple right-hand sides.

public override void TriangularSolveInPlace(
	MatrixOperationSide side,
	MatrixTriangle triangle,
	TransposeOperation transA,
	MatrixDiagonal diag,
	int m,
	int n,
	Complex<double> alpha,
	Array2D<Complex<double>> a,
	Array2D<Complex<double>> b
)

Visual Basic

Public Overrides Sub TriangularSolveInPlace ( 
	side As MatrixOperationSide,
	triangle As MatrixTriangle,
	transA As TransposeOperation,
	diag As MatrixDiagonal,
	m As Integer,
	n As Integer,
	alpha As Complex(Of Double),
	a As Array2D(Of Complex(Of Double)),
	b As Array2D(Of Complex(Of Double))
)

C++/CLI

public:
virtual void TriangularSolveInPlace(
	MatrixOperationSide side, 
	MatrixTriangle triangle, 
	TransposeOperation transA, 
	MatrixDiagonal diag, 
	int m, 
	int n, 
	Complex<double> alpha, 
	Array2D<Complex<double>> a, 
	Array2D<Complex<double>> b
) override

abstract TriangularSolveInPlace : 
        side : MatrixOperationSide * 
        triangle : MatrixTriangle * 
        transA : TransposeOperation * 
        diag : MatrixDiagonal * 
        m : int * 
        n : int * 
        alpha : Complex<float> * 
        a : Array2D<Complex<float>> * 
        b : Array2D<Complex<float>> -> unit 
override TriangularSolveInPlace : 
        side : MatrixOperationSide * 
        triangle : MatrixTriangle * 
        transA : TransposeOperation * 
        diag : MatrixDiagonal * 
        m : int * 
        n : int * 
        alpha : Complex<float> * 
        a : Array2D<Complex<float>> * 
        b : Array2D<Complex<float>> -> unit

Parameters

side MatrixOperationSide: Specifies on which side the triangular matrix a is to be multiplied.
triangle 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 Complex<Double>: The scalar used to multiply the matrix-vector product.
a Array2D<Complex<Double>>: A complex array that contains the elements of the first matrix.
b Array2D<Complex<Double>>: A complex array that contains the elements of the second matrix.

Implements

ILinearAlgebraOperations<T>.TriangularSolveInPlace(MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, T, Array2D<T>, Array2D<T>)

TriangularSolveInPlace(MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, Double, Array2D<Double>, Array2D<Double>)

Solution of a triangular linear system with multiple right-hand sides.

public override void TriangularSolveInPlace(
	MatrixOperationSide side,
	MatrixTriangle storedTriangle,
	TransposeOperation transA,
	MatrixDiagonal diag,
	int m,
	int n,
	double alpha,
	Array2D<double> a,
	Array2D<double> b
)

Visual Basic

Public Overrides Sub TriangularSolveInPlace ( 
	side As MatrixOperationSide,
	storedTriangle As MatrixTriangle,
	transA As TransposeOperation,
	diag As MatrixDiagonal,
	m As Integer,
	n As Integer,
	alpha As Double,
	a As Array2D(Of Double),
	b As Array2D(Of Double)
)

C++/CLI

public:
virtual void TriangularSolveInPlace(
	MatrixOperationSide side, 
	MatrixTriangle storedTriangle, 
	TransposeOperation transA, 
	MatrixDiagonal diag, 
	int m, 
	int n, 
	double alpha, 
	Array2D<double> a, 
	Array2D<double> b
) override

abstract TriangularSolveInPlace : 
        side : MatrixOperationSide * 
        storedTriangle : MatrixTriangle * 
        transA : TransposeOperation * 
        diag : MatrixDiagonal * 
        m : int * 
        n : int * 
        alpha : float * 
        a : Array2D<float> * 
        b : Array2D<float> -> unit 
override TriangularSolveInPlace : 
        side : MatrixOperationSide * 
        storedTriangle : MatrixTriangle * 
        transA : TransposeOperation * 
        diag : MatrixDiagonal * 
        m : int * 
        n : int * 
        alpha : float * 
        a : Array2D<float> * 
        b : Array2D<float> -> unit

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.
n Int32: The number of columns in the matrix b.
alpha Double: The scalar used to multiply the matrix-vector product.
a Array2D<Double>: Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
b Array2D<Double>: Reference to the first element in a one-dimensional array that contains the elements of the second matrix.

Implements

ILinearAlgebraOperations<T>.TriangularSolveInPlace(MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, T, Array2D<T>, Array2D<T>)

ManagedLinearAlgebraOperations.TriangularSolveInPlace Method

Definition

Overload List

TriangularSolveInPlace(MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2D<Complex<Double>>, ArraySlice<Complex<Double>>)

Parameters

Implements

TriangularSolveInPlace(MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2D<Double>, ArraySlice<Double>)

Parameters

Implements

TriangularSolveInPlace(MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, Complex<Double>, Array2D<Complex<Double>>, Array2D<Complex<Double>>)

Parameters

Implements

TriangularSolveInPlace(MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, Double, Array2D<Double>, Array2D<Double>)

Parameters

Implements

See Also

Reference