GenericSparseLinearAlgebraOperations<T>.TriangularSolve Method

Definition

Namespace: Extreme.Mathematics.LinearAlgebra.Implementation
Assembly: Extreme.Numerics.Generic (in Extreme.Numerics.Generic.dll) Version: 8.1.4

Overload List

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

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

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

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

Visual Basic

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

C++/CLI

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

abstract TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        alpha : 'T * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : 'T[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        x : ArraySlice<'T> * 
        y : ArraySlice<'T> -> unit 
override TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        alpha : 'T * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : 'T[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        x : ArraySlice<'T> * 
        y : ArraySlice<'T> -> 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 T: 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 T[]: 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<T>: A reference to a one-dimensional array containing the elements of the vector x.
y ArraySlice<T>: 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, Complex<T>, MatrixStructure, MatrixTriangle, MatrixDiagonal, Complex<T>[], Int32[], Int32[], Int32[], ArraySlice<Complex<T>>, ArraySlice<Complex<T>>)

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

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

Visual Basic

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

C++/CLI

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

abstract TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        alpha : Complex<'T> * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : Complex<'T>[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        x : ArraySlice<Complex<'T>> * 
        y : ArraySlice<Complex<'T>> -> unit 
override TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        alpha : Complex<'T> * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : Complex<'T>[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        x : ArraySlice<Complex<'T>> * 
        y : ArraySlice<Complex<'T>> -> 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<T>: 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<T>[]: 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<T>>: A reference to a one-dimensional array containing the elements of the vector x.
y ArraySlice<Complex<T>>: 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, T, MatrixStructure, MatrixTriangle, MatrixDiagonal, T[], Int32[], Int32[], Int32[], Array2D<T>, Array2D<T>)

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

Visual Basic

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

C++/CLI

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

abstract TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        n : int * 
        alpha : 'T * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : 'T[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        b : Array2D<'T> * 
        c : Array2D<'T> -> unit 
override TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        n : int * 
        alpha : 'T * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : 'T[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        b : Array2D<'T> * 
        c : Array2D<'T> -> unit

Parameters

transA TransposeOperation
m Int32
n Int32
alpha T
structure MatrixStructure
storedTriangle MatrixTriangle
matrixDiagonal MatrixDiagonal
a T[]
aRows Int32[]
aPointerB Int32[]
aPointerE Int32[]
b Array2D<T>
c Array2D<T>

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

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<T> alpha,
	MatrixStructure structure,
	MatrixTriangle storedTriangle,
	MatrixDiagonal matrixDiagonal,
	Complex<T>[] a,
	int[] aRows,
	int[] aPointerB,
	int[] aPointerE,
	Array2D<Complex<T>> b,
	Array2D<Complex<T>> c
)

Visual Basic

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

C++/CLI

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

abstract TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        n : int * 
        alpha : Complex<'T> * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : Complex<'T>[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        b : Array2D<Complex<'T>> * 
        c : Array2D<Complex<'T>> -> unit 
override TriangularSolve : 
        transA : TransposeOperation * 
        m : int * 
        n : int * 
        alpha : Complex<'T> * 
        structure : MatrixStructure * 
        storedTriangle : MatrixTriangle * 
        matrixDiagonal : MatrixDiagonal * 
        a : Complex<'T>[] * 
        aRows : int[] * 
        aPointerB : int[] * 
        aPointerE : int[] * 
        b : Array2D<Complex<'T>> * 
        c : Array2D<Complex<'T>> -> 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<T>: 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<T>[]: 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<T>>: A two-dimensional array containing the elements of the right-hand side.
c Array2D<Complex<T>>: A two-dimensional array containing the elements of the solution.

GenericSparseLinearAlgebraOperations<T>.TriangularSolve Method

Definition

Overload List

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

Parameters

Implements

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

Parameters

Implements

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

Parameters

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

Parameters

See Also

Reference