ManagedSparseLinearAlgebraOperations.TriangularSolve Method

Definition

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

Overload List

TriangularSolve(TransposeOperation, Int32, Complex<Double>, MatrixStructure, MatrixTriangle, MatrixDiagonal, Complex<Double>[], Int32[], Int32[], Int32[], ArraySlice<Complex<Double>>, ArraySlice<Complex<Double>>)	Solves for a dense vector for a sparse matrix in Compressed Sparse Column (CSC) format.
TriangularSolve(TransposeOperation, Int32, Double, MatrixStructure, MatrixTriangle, MatrixDiagonal, Double[], Int32[], Int32[], Int32[], ArraySlice<Double>, ArraySlice<Double>)	Solves for a dense vector for a sparse matrix in Compressed Sparse Column (CSC) format.
TriangularSolve(TransposeOperation, Int32, Int32, Complex<Double>, MatrixStructure, MatrixTriangle, MatrixDiagonal, Complex<Double>[], Int32[], Int32[], Int32[], Array2D<Complex<Double>>, Array2D<Complex<Double>>)	Solves for a dense vector for a sparse matrix in compressed sparse column format.
TriangularSolve(TransposeOperation, Int32, Int32, Double, MatrixStructure, MatrixTriangle, MatrixDiagonal, Double[], Int32[], Int32[], Int32[], Array2D<Double>, Array2D<Double>)	Solves for a dense matrix for a sparse matrix in compressed sparse column format.

TriangularSolve(TransposeOperation, Int32, Complex<Double>, MatrixStructure, MatrixTriangle, MatrixDiagonal, Complex<Double>[], Int32[], Int32[], Int32[], ArraySlice<Complex<Double>>, ArraySlice<Complex<Double>>)

Solves for a dense vector for a sparse matrix in Compressed Sparse Column (CSC) format.

public override void TriangularSolve(
	TransposeOperation transA,
	int m,
	Complex<double> alpha,
	MatrixStructure structure,
	MatrixTriangle storedTriangle,
	MatrixDiagonal matrixDiagonal,
	Complex<double>[] a,
	int[] aRows,
	int[] aPointerB,
	int[] aPointerE,
	ArraySlice<Complex<double>> x,
	ArraySlice<Complex<double>> y
)

Visual Basic

Public Overrides Sub TriangularSolve ( 
	transA As TransposeOperation,
	m As Integer,
	alpha As Complex(Of Double),
	structure As MatrixStructure,
	storedTriangle As MatrixTriangle,
	matrixDiagonal As MatrixDiagonal,
	a As Complex(Of Double)(),
	aRows As Integer(),
	aPointerB As Integer(),
	aPointerE As Integer(),
	x As ArraySlice(Of Complex(Of Double)),
	y As ArraySlice(Of Complex(Of Double))
)

C++/CLI

public:
virtual void TriangularSolve(
	TransposeOperation transA, 
	int m, 
	Complex<double> alpha, 
	MatrixStructure structure, 
	MatrixTriangle storedTriangle, 
	MatrixDiagonal matrixDiagonal, 
	array<Complex<double>>^ a, 
	array<int>^ aRows, 
	array<int>^ aPointerB, 
	array<int>^ aPointerE, 
	ArraySlice<Complex<double>> x, 
	ArraySlice<Complex<double>> y
) override

abstract TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        alpha : Complex<float> * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : Complex<float>[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        x : ArraySlice<Complex<float>> * 
        y : ArraySlice<Complex<float>> -> unit 
override TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        alpha : Complex<float> * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : Complex<float>[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        x : ArraySlice<Complex<float>> * 
        y : ArraySlice<Complex<float>> -> unit

Parameters

transA TransposeOperation: Specifies the operation to be performed on the matrix a.
m Int32: The number of rows in the matrix a.
alpha Complex<Double>: The scalar used to multiply the matrix-vector product.
structure MatrixStructure: A MatrixStructure value that specifies the structure of the matrix.
storedTriangle MatrixTriangle: A MatrixTriangle value that specifies whether the matrix is upper or lower triangular.
matrixDiagonal MatrixDiagonal: A MatrixDiagonal value that indicates whether the diagonal elements are all 1 or not.
a Complex<Double>[]: Reference to the first element in a one-dimensional array that contains the elements of the matrix.
aRows Int32[]: Integer array that contains the 1-based row indices of the corresponding elements of a.
aPointerB Int32[]: Integer array of length m containing the 1-based indices into a of the first component of each column.
aPointerE Int32[]: Integer array of length m containing the 1-based indices into a of the first component of each column.
x ArraySlice<Complex<Double>>: A reference to a one-dimensional array containing the elements of the vector x.
y ArraySlice<Complex<Double>>: A reference to a one-dimensional array containing the elements of the vector y. The elements of y are overwritten with the result.

Implements

ISparseLinearAlgebraOperations<T>.TriangularSolve(TransposeOperation, Int32, T, MatrixStructure, MatrixTriangle, MatrixDiagonal, T[], Int32[], Int32[], Int32[], ArraySlice<T>, ArraySlice<T>)

TriangularSolve(TransposeOperation, Int32, Double, MatrixStructure, MatrixTriangle, MatrixDiagonal, Double[], Int32[], Int32[], Int32[], ArraySlice<Double>, ArraySlice<Double>)

Solves for a dense vector for a sparse matrix in Compressed Sparse Column (CSC) format.

public override void TriangularSolve(
	TransposeOperation transA,
	int m,
	double alpha,
	MatrixStructure structure,
	MatrixTriangle storedTriangle,
	MatrixDiagonal matrixDiagonal,
	double[] a,
	int[] aRows,
	int[] aPointerB,
	int[] aPointerE,
	ArraySlice<double> x,
	ArraySlice<double> y
)

Visual Basic

Public Overrides Sub TriangularSolve ( 
	transA As TransposeOperation,
	m As Integer,
	alpha As Double,
	structure As MatrixStructure,
	storedTriangle As MatrixTriangle,
	matrixDiagonal As MatrixDiagonal,
	a As Double(),
	aRows As Integer(),
	aPointerB As Integer(),
	aPointerE As Integer(),
	x As ArraySlice(Of Double),
	y As ArraySlice(Of Double)
)

C++/CLI

public:
virtual void TriangularSolve(
	TransposeOperation transA, 
	int m, 
	double alpha, 
	MatrixStructure structure, 
	MatrixTriangle storedTriangle, 
	MatrixDiagonal matrixDiagonal, 
	array<double>^ a, 
	array<int>^ aRows, 
	array<int>^ aPointerB, 
	array<int>^ aPointerE, 
	ArraySlice<double> x, 
	ArraySlice<double> y
) override

abstract TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        alpha : float * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : float[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        x : ArraySlice<float> * 
        y : ArraySlice<float> -> unit 
override TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        alpha : float * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : float[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        x : ArraySlice<float> * 
        y : ArraySlice<float> -> unit

Parameters

transA TransposeOperation: Specifies the operation to be performed on the matrix a.
m Int32: The number of rows in the matrix a.
alpha Double: The scalar used to multiply the matrix-vector product.
structure MatrixStructure: A MatrixStructure value that specifies the structure of the matrix.
storedTriangle MatrixTriangle: A MatrixTriangle value that specifies whether the matrix is upper or lower triangular.
matrixDiagonal MatrixDiagonal: A MatrixDiagonal value that indicates whether the diagonal elements are all 1 or not.
a Double[]: Reference to the first element in a one-dimensional array that contains the elements of the matrix.
aRows Int32[]: Integer array that contains the 1-based row indices of the corresponding elements of a.
aPointerB Int32[]: Integer array of length m containing the 1-based indices into a of the first component of each column.
aPointerE Int32[]: Integer array of length m containing the 1-based indices into a of the first component of each column.
x ArraySlice<Double>: A reference to a one-dimensional array containing the elements of the vector x.
y ArraySlice<Double>: A reference to a one-dimensional array containing the elements of the vector y. The elements of y are overwritten with the result.

Implements

ISparseLinearAlgebraOperations<T>.TriangularSolve(TransposeOperation, Int32, T, MatrixStructure, MatrixTriangle, MatrixDiagonal, T[], Int32[], Int32[], Int32[], ArraySlice<T>, ArraySlice<T>)

TriangularSolve(TransposeOperation, Int32, Int32, Complex<Double>, MatrixStructure, MatrixTriangle, MatrixDiagonal, Complex<Double>[], Int32[], Int32[], Int32[], Array2D<Complex<Double>>, Array2D<Complex<Double>>)

Solves for a dense vector for a sparse matrix in compressed sparse column format.

public override void TriangularSolve(
	TransposeOperation transA,
	int m,
	int n,
	Complex<double> alpha,
	MatrixStructure structure,
	MatrixTriangle storedTriangle,
	MatrixDiagonal matrixDiagonal,
	Complex<double>[] a,
	int[] aRows,
	int[] aPointerB,
	int[] aPointerE,
	Array2D<Complex<double>> b,
	Array2D<Complex<double>> c
)

Visual Basic

Public Overrides Sub TriangularSolve ( 
	transA As TransposeOperation,
	m As Integer,
	n As Integer,
	alpha As Complex(Of Double),
	structure As MatrixStructure,
	storedTriangle As MatrixTriangle,
	matrixDiagonal As MatrixDiagonal,
	a As Complex(Of Double)(),
	aRows As Integer(),
	aPointerB As Integer(),
	aPointerE As Integer(),
	b As Array2D(Of Complex(Of Double)),
	c As Array2D(Of Complex(Of Double))
)

C++/CLI

public:
virtual void TriangularSolve(
	TransposeOperation transA, 
	int m, 
	int n, 
	Complex<double> alpha, 
	MatrixStructure structure, 
	MatrixTriangle storedTriangle, 
	MatrixDiagonal matrixDiagonal, 
	array<Complex<double>>^ a, 
	array<int>^ aRows, 
	array<int>^ aPointerB, 
	array<int>^ aPointerE, 
	Array2D<Complex<double>> b, 
	Array2D<Complex<double>> c
) override

abstract TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        n : int * 
        alpha : Complex<float> * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : Complex<float>[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        b : Array2D<Complex<float>> * 
        c : Array2D<Complex<float>> -> unit 
override TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        n : int * 
        alpha : Complex<float> * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : Complex<float>[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        b : Array2D<Complex<float>> * 
        c : Array2D<Complex<float>> -> unit

Parameters

transA TransposeOperation: Specifies the operation to be performed on the matrix a.
m Int32: The number of rows in the matrix a.
n Int32: The number of columns of the matrices b and c.
alpha Complex<Double>: The scalar used to multiply the matrix-vector product.
structure MatrixStructure: A MatrixStructure value that specifies the structure of the matrix.
storedTriangle MatrixTriangle: A MatrixTriangle value that specifies whether the matrix is upper or lower triangular.
matrixDiagonal MatrixDiagonal: A MatrixDiagonal value that indicates whether the diagonal elements are all 1 or not.
a Complex<Double>[]: Reference to the first element in a one-dimensional array that contains the elements of the matrix.
aRows Int32[]: Integer array that contains the 1-based row indices of the corresponding elements of a.
aPointerB Int32[]: Integer array of length m containing the 1-based indices into a of the first component of each column.
aPointerE Int32[]: Integer array of length m containing the 1-based indices into a of the first component of each column.
b Array2D<Complex<Double>>: A two-dimensional array containing the elements of the right-hand side.
c Array2D<Complex<Double>>: A two-dimensional array containing the elements of the solution.

TriangularSolve(TransposeOperation, Int32, Int32, Double, MatrixStructure, MatrixTriangle, MatrixDiagonal, Double[], Int32[], Int32[], Int32[], Array2D<Double>, Array2D<Double>)

Solves for a dense matrix for a sparse matrix in compressed sparse column format.

public override void TriangularSolve(
	TransposeOperation transA,
	int m,
	int n,
	double alpha,
	MatrixStructure structure,
	MatrixTriangle storedTriangle,
	MatrixDiagonal matrixDiagonal,
	double[] a,
	int[] aRows,
	int[] aPointerB,
	int[] aPointerE,
	Array2D<double> b,
	Array2D<double> c
)

Visual Basic

Public Overrides Sub TriangularSolve ( 
	transA As TransposeOperation,
	m As Integer,
	n As Integer,
	alpha As Double,
	structure As MatrixStructure,
	storedTriangle As MatrixTriangle,
	matrixDiagonal As MatrixDiagonal,
	a As Double(),
	aRows As Integer(),
	aPointerB As Integer(),
	aPointerE As Integer(),
	b As Array2D(Of Double),
	c As Array2D(Of Double)
)

C++/CLI

public:
virtual void TriangularSolve(
	TransposeOperation transA, 
	int m, 
	int n, 
	double alpha, 
	MatrixStructure structure, 
	MatrixTriangle storedTriangle, 
	MatrixDiagonal matrixDiagonal, 
	array<double>^ a, 
	array<int>^ aRows, 
	array<int>^ aPointerB, 
	array<int>^ aPointerE, 
	Array2D<double> b, 
	Array2D<double> c
) override

abstract TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        n : int * 
        alpha : float * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : float[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        b : Array2D<float> * 
        c : Array2D<float> -> unit 
override TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        n : int * 
        alpha : float * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : float[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        b : Array2D<float> * 
        c : Array2D<float> -> unit

Parameters

transA TransposeOperation: Specifies the operation to be performed on the matrix a.
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.
structure MatrixStructure: A MatrixStructure value that specifies the structure of the matrix.
storedTriangle MatrixTriangle: A MatrixTriangle value that specifies whether the matrix is upper or lower triangular.
matrixDiagonal MatrixDiagonal: A MatrixDiagonal value that indicates whether the diagonal elements are all 1 or not.
a Double[]: Reference to the first element in a one-dimensional array that contains the elements of the matrix.
aRows Int32[]: Integer array that contains the 1-based row indices of the corresponding elements of a.
aPointerB Int32[]: Integer array of length m containing the 1-based indices into a of the first component of each column.
aPointerE Int32[]: Integer array of length m containing the 1-based indices into a of the first component of each column.
b Array2D<Double>: A two-dimensional array containing the elements of the right-hand side.
c Array2D<Double>: A two-dimensional array containing the elements of the solution.

ManagedSparseLinearAlgebraOperations.TriangularSolve Method

Definition

Overload List

TriangularSolve(TransposeOperation, Int32, Complex<Double>, MatrixStructure, MatrixTriangle, MatrixDiagonal, Complex<Double>[], Int32[], Int32[], Int32[], ArraySlice<Complex<Double>>, ArraySlice<Complex<Double>>)

Parameters

Implements

TriangularSolve(TransposeOperation, Int32, Double, MatrixStructure, MatrixTriangle, MatrixDiagonal, Double[], Int32[], Int32[], Int32[], ArraySlice<Double>, ArraySlice<Double>)

Parameters

Implements

TriangularSolve(TransposeOperation, Int32, Int32, Complex<Double>, MatrixStructure, MatrixTriangle, MatrixDiagonal, Complex<Double>[], Int32[], Int32[], Int32[], Array2D<Complex<Double>>, Array2D<Complex<Double>>)

Parameters

TriangularSolve(TransposeOperation, Int32, Int32, Double, MatrixStructure, MatrixTriangle, MatrixDiagonal, Double[], Int32[], Int32[], Int32[], Array2D<Double>, Array2D<Double>)

Parameters

See Also

Reference