SparseLinearAlgebraOperations<T>.TriangularSolve Method

public abstract 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
)

Public MustOverride 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)
)

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
) abstract

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 

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

public abstract 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
)

Public MustOverride 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))
)

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
) abstract

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 

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

public abstract 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
)

Public MustOverride 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)
)

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
) abstract

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 

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  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.

b  Array2D<T>

A two-dimensional array containing the elements of the right-hand side.

c  Array2D<T>

A two-dimensional array containing the elements of the solution.

public abstract 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
)

Public MustOverride 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))
)

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
) abstract

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 

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.

Reference