GeneralizedMinimalResidualSolverT Class

public class GeneralizedMinimalResidualSolver<T> : IterativeSparseSolver<T>

Public Class GeneralizedMinimalResidualSolver(Of T)
	Inherits IterativeSparseSolver(Of T)

generic<typename T>
public ref class GeneralizedMinimalResidualSolver : public IterativeSparseSolver<T>

type GeneralizedMinimalResidualSolver<'T> =  
    class
        inherit IterativeSparseSolver<'T>
    end

Type Parameters

T

The GeneralizedMinimalResidualSolverT type exposes the following members.

	Name	Description
	GeneralizedMinimalResidualSolverT	Constructs a new iterative sparse solver object.

	Name	Description
	ConvergenceTests	Gets the collection of convergence tests for the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	EstimatedError	Gets a value indicating the size of the absolute error of the result. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	EvaluationsNeeded	Gets the number of evaluations needed to execute the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	EvaluationsRemaining	Gets the number of evaluations still available. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	HasSharedDegreeOfParallelism	Indicates whether the degree of parallelism is a property that is shared across instances. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	InitialGuess	Gets or sets the solution of the system of equations. (Inherited from IterativeSparseSolverT.)
	IterationsBetweenRestarts	Gets or sets the number of minor iterations in each major iteration.
	IterationsNeeded	Gets the number of iterations needed by the algorithm to reach the desired accuracy. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	IterationsRemaining	Gets the number of iterations remaining. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	LastCorrection	Gets the vector containing the residuals of the solution. (Inherited from IterativeSparseSolverT.)
	LeftPreconditioner	Gets or sets the PreconditionerT. (Inherited from IterativeSparseSolverT.)
	LinearOperator	Gets the sparse matrix of the system of equations. (Inherited from IterativeSparseSolverT.)
	MaxDegreeOfParallelism	Gets or sets the maximum degree of parallelism enabled by this instance. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	MaxEvaluations	Gets or sets the maximum number of evaluations during the calculation. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	MaxIterations	Gets or sets the maximum number of iterations to use when approximating the roots of the target function. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	MinIterations	Gets or sets the minimum iterations that have to be performed. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ParallelOptions	Gets or sets the configuration for the parallel behavior of the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	Preconditioner	Gets or sets the PreconditionerT. (Inherited from IterativeSparseSolverT.)
	Residuals	Gets the vector containing the residuals of the solution. (Inherited from IterativeSparseSolverT.)
	ResidualTest	Gets the convergence test based on the size of the residuals. (Inherited from IterativeSparseSolverT.)
	Result	Gets or sets the solution of the system of equations. (Inherited from IterativeSparseSolverT.)
	RightHandSide	Gets or sets the right hand side of the system of equations. (Inherited from IterativeSparseSolverT.)
	SolutionReport	Gets the result of an algorithm after it has executed. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	SolutionTest	Gets the convergence test based on the size of the residuals. (Inherited from IterativeSparseSolverT.)
	Status	Gets the AlgorithmStatus following an execution of the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ThrowExceptionOnFailure	Gets or sets a value indicating whether to throw an exception when the algorithm fails to converge. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)

	Name	Description
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	GetHashCode	Serves as the default hash function. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	IncrementEvaluations	Increments the number of evaluations by one. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	IncrementEvaluations(Int32)	Increments the number of evaluations by the specified amount. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	Iterate	Performs one iteration of the algorithm. (Overrides ManagedIterativeAlgorithmT, TError, TReportIterate.)
	Iterated	Performs operations after the iteration stage of the algorithm is complete. (Inherited from IterativeSparseSolverT.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	OnConvergence	Performs actions after convergence is achieved. (Overrides ManagedIterativeAlgorithmT, TError, TReportOnConvergence.)
	OnFailure	Performs any tasks after the main algorithm has failed to converge. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	OnInit	Performs initialization tasks when the algorithm is first run. (Overrides IterativeSparseSolverTOnInit.)
	ReportFailure	Records the results of an algorithm in case it fails. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ReportResult	Records the results of an algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ReportSuccess	Records the results of a algorithm that converged successfully. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ResetEvaluations	Resets the number of evaluations to zero. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	Restart	Prepares the algorithm to be run again with possibly different inputs. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	Run	Runs the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	Run(ParallelOptions)	Runs the algorithm using the specified parallelization options. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	SetResult	Sets the results of an algorithm's execution. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	Solve	Solves the system of equations and returns the solution. (Inherited from IterativeSparseSolverT.)
	Solve(VectorT)	Solves the system of equations for the specified right-hand side and returns the result. (Inherited from IterativeSparseSolverT.)
	Solve(VectorT, VectorT)	Solves the system of equations for the specified right-hand side and returns the result. (Inherited from IterativeSparseSolverT.)
	TestConvergence	Checks whether the algorithm has converged. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ThreadSafeIncrementEvaluations	Increments the number of evaluations by one. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ThreadSafeIncrementEvaluations(Int32)	Increments the number of evaluations by the specified amount. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ThrowConvergenceException	Interprets the AlgorithmStatus and throws the appropriate exception. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)

Use the GeneralizedMinimalResidualSolverT class to solve large, non-symmetric sparse systems of equations using the Generalized Minimal Residual (GMRES) method.

To solve a system of equations using this class, construct a new instance, passing the matrix of the system to the constructor. You can optionally set a preconditioner by setting the Preconditioner property. By default, a JacobiPreconditionerT is used. Finally, the Solve method solves the system.

Once the algorithm finished, the Status property indicates whether the algorithm completed successfully.

The memory requirements of the GMRES method increase with every iteration. To limit memory use, the algorithm is restarted after a number of iterations specified by the IterationsBetweenRestarts property. The default value is 30.

Reference