SparseSolverTransformation<T> Class

Represents a sparse permutation and positive diagonal scaling of a linear system.

Definition

Namespace: Numerics.NET.LinearAlgebra.IterativeSolvers
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 10.9.0

public sealed class SparseSolverTransformation<T>

Visual Basic

Public NotInheritable Class SparseSolverTransformation(Of T)

C++/CLI

generic<typename T>
public ref class SparseSolverTransformation sealed

[<SealedAttribute>]
type SparseSolverTransformation<'T> = class end

Inheritance: Object → SparseSolverTransformation<T>

Type Parameters

T: The real or complex floating-point scalar type.

Remarks

For original-coordinate factors R and C and ordering p, the owned matrix snapshot is B[k,l] = R[p[k]] A[p[k],p[l]] C[p[l]]. The source matrix is not modified. Recreate the transformation after source coefficient or structure changes. The exposed matrix can be modified independently.

Directly solving B uses a different residual scale: check restored solutions against the original equations. Alternatively, use CreatePreconditioner(Preconditioner<T>) with a factor of B and solve the original system, retaining its residual tests.

Properties

ColumnScaling	Gets an independent copy of the positive column factors in original coordinates.
Order	Gets the order of the square transformed system.
Ordering	Gets an independent copy of the permutation mapping new coordinates to original coordinates.
RowScaling	Gets an independent copy of the positive row factors in original coordinates.
TransformedMatrix	Gets the owned, independently mutable sparse matrix snapshot in transformed coordinates.

Methods

Create	Creates a permutation-only snapshot of a sparse linear system.
CreatePreconditioner	Maps a preconditioner for the transformed matrix back to the original system.
CreateRowColumnEquilibration	Creates a sparse system snapshot equilibrated by row and column maximum magnitudes.
CreateSymmetricEquilibration	Creates a Hermitian-preserving, symmetrically equilibrated sparse system snapshot.
Equals	Determines whether the specified object is equal to the current object. (Inherited from Object)
GetHashCode	Serves as the default hash function. (Inherited from Object)
GetType	Gets the Type of the current instance. (Inherited from Object)
RestoreSolution	Restores a transformed solution to original coordinates as C P^T y.
ToString	Returns a string that represents the current object. (Inherited from Object)
TransformInitialGuess	Maps an original initial guess to transformed coordinates as P C^-1 x.
TransformRightHandSide	Maps an original right-hand side to transformed coordinates as P R b.