Linear Algebra Operations.Triangular Solve In Place Method
Definition
Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
Overload List
Triangular | Solves a triangular system of equations. |
Triangular | Solution of a triangular linear system with multiple right-hand sides. |
TriangularSolveInPlace<T>(MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Array2D<T>, ArraySlice<T>)
Solves a triangular system of equations.
public static void TriangularSolveInPlace<T>(
MatrixTriangle storedTriangle,
TransposeOperation transposeOperation,
MatrixDiagonal diagonal,
int n,
Array2D<T> a,
ArraySlice<T> x
)
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 Array2D<T>
- Reference to the first element in a one-dimensional array that contains the elements of the matrix.
- x ArraySlice<T>
- 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
Remarks
This method is similar to the BLAS routine DTRSV.
TriangularSolveInPlace<T>(MatrixOperationSide, MatrixTriangle, TransposeOperation, MatrixDiagonal, Int32, Int32, T, Array2D<T>, Array2D<T>)
Solution of a triangular linear system with
multiple right-hand sides.
public static void TriangularSolveInPlace<T>(
MatrixOperationSide side,
MatrixTriangle storedTriangle,
TransposeOperation transA,
MatrixDiagonal diag,
int m,
int n,
T alpha,
Array2D<T> a,
Array2D<T> b
)
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 Array2D<T>
- Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
- b Array2D<T>
- Reference to the first element in a one-dimensional array that contains the elements of the second matrix.
Type Parameters
- T