FlexibleGeneralizedMinimalResidualSolver<T> Class

public sealed class FlexibleGeneralizedMinimalResidualSolver<T> : IterativeSparseSolver<T>

Public NotInheritable Class FlexibleGeneralizedMinimalResidualSolver(Of T)
	Inherits IterativeSparseSolver(Of T)

generic<typename T>
public ref class FlexibleGeneralizedMinimalResidualSolver sealed : public IterativeSparseSolver<T>

[<SealedAttribute>]
type FlexibleGeneralizedMinimalResidualSolver<'T> = 
    class
        inherit IterativeSparseSolver<'T>
    end

Inheritance

Object  →  ManagedIterativeAlgorithm<DenseVector<T>, T, SolutionReport<DenseVector<T>, T>>  →  IterativeSparseSolver<T>  →  FlexibleGeneralizedMinimalResidualSolver<T>

Type Parameters

T

The real or complex scalar type.

The Preconditioner is applied on the right. Its solve action may vary between iterations or be nonlinear, for example an inner iterative solve. Each resulting search direction is retained until the restart cycle is completed. The inherited LeftPreconditioner is not applied.

The default preconditioner is Jacobi for explicit matrices and identity for other operators. Supported scalar types require a registered linear algebra implementation. Convergence is verified with the original residual b - Ax. On an iteration limit, the result includes completed directions from the current restart cycle.

IterationsBetweenRestarts limits basis storage and defaults to 30. Flexible GMRES retains both the Arnoldi basis and the preconditioned search directions.

Reference