Preconditioner<T> Class

public abstract class Preconditioner<T> : LinearOperator<T>

Public MustInherit Class Preconditioner(Of T)
	Inherits LinearOperator(Of T)

generic<typename T>
public ref class Preconditioner abstract : public LinearOperator<T>

[<AbstractClassAttribute>]
type Preconditioner<'T> = 
    class
        inherit LinearOperator<'T>
    end

Inheritance

Object  →  LinearOperator<T>  →  Preconditioner<T>

Derived

Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners.IdentityPreconditioner<T>

Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners.IncompleteLUPreconditioner<T>

Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners.JacobiPreconditioner<T>

Type Parameters

T

The Preconditioner<T> class serves as the abstract base class for classes that implement preconditioners in the context of iterative sparse solvers.

A preconditioner is am operator that approximates the matrix of the system of equations, but solving equations with the preconditioner in the left-hand-side is less expensive than solving the original system. When used with an iterative solver, the result is equivalent to solving a simpler system, often but not always leading to faster convergence.

The Preconditioner<T> class is an abstract base class and cannot be instantiated directly. Instead, either use one of the built-in preconditioners, or implement your own preconditioner by inheriting from Preconditioner<T>. The built-in preconditioners are:

To define your own preconditioner, inherit from Preconditioner<T> and implement the SolveInto(TransposeOperation, Vector<T>, Vector<T>) method. Note that not all iterative solvers require the transpose solve.

Reference