EquationSolver Class

public abstract class EquationSolver : IterativeAlgorithm

Public MustInherit Class EquationSolver
	Inherits IterativeAlgorithm

public ref class EquationSolver abstract : public IterativeAlgorithm

[<AbstractClassAttribute>]
type EquationSolver =  
    class
        inherit IterativeAlgorithm
    end

The EquationSolver type exposes the following members.

	Name	Description
	EquationSolver	Constructs a new EquationSolver object.
	EquationSolver(FuncDouble, Double)	Constructs a new EquationSolver object for the specified target function.
	EquationSolver(FuncDouble, Double, ConvergenceCriterion, Double)	Constructs a new EquationSolver object for the specified target function and tolerance.
	EquationSolver(FuncDouble, Double, Double, Double)	Constructs a new EquationSolver object for the specified target function and convergence parameters.
	EquationSolver(FuncDouble, Double, Double, Double, ConvergenceCriterion, Double)	Constructs a new EquationSolver object for the specified target function and tolerance.

	Name	Description
	AbsoluteTolerance	Gets or sets the absolute tolerance used in the convergence test. (Inherited from IterativeAlgorithm.)
	ConvergenceCriterion	Gets or sets a value specifying the criterion that is to be used in the convergence test for the algorithm. (Inherited from IterativeAlgorithm.)
	ConvergenceTest	Gets the convergence test for the algorithm. (Inherited from IterativeAlgorithm.)
	ConvergenceTests	Gets the collection of convergence tests for the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	CurrentError	Gets the estimated error of the approximation of the result at the current iteration. (Inherited from IterativeAlgorithm.)
	CurrentLowerBound	Gets the lower bound of the convergence interval at the current iteration.
	CurrentResult	Gets the approximation of the result at the current iteration. (Inherited from IterativeAlgorithm.)
	CurrentUpperBound	Gets the upper bound of the convergence interval at the current iteration.
	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.)
	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.)
	LowerBound	Gets or sets the lower bound for the solution.
	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.)
	RelativeTolerance	Gets or sets the relative tolerance used in the convergence test. (Inherited from IterativeAlgorithm.)
	Result	Gets the result of an algorithm after it has executed. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	RightHandSide	Gets or sets the value of the target function to solve for.
	SolutionReport	Gets the result of an algorithm after it has executed. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	Status	Gets the AlgorithmStatus following an execution of the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	TargetFunction	Gets or sets the target function for the EquationSolver.
	ThrowExceptionOnFailure	Gets or sets a value indicating whether to throw an exception when the algorithm fails to converge. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	UpperBound	Gets or sets the upper bound for the solution.

	Name	Description
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object.)
	ErrorEvaluator	Returns the estimated error for testing whether the algorithm has converged. (Inherited from IterativeAlgorithm.)
	Evaluate	Evaluates the target function and increments the number of evaluations.
	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. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	Iterated	Performs tasks after the iteration is completed, but before the status of the algorithm is finalized. (Inherited from IterativeAlgorithm.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	OnConvergence	Performs any tasks after the main algorithm has converged. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	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. (Inherited from IterativeAlgorithm.)
	ReportFailure(AlgorithmStatus)	Reports that the algoritm has failed. No further iterations will be performed. (Inherited from IterativeAlgorithm.)
	ReportFailure(T, TError, AlgorithmStatus)	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	Reports that the algoritm has succeeded. No further iterations will be performed. (Inherited from IterativeAlgorithm.)
	ReportSuccess(T, TError)	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	Attempts to find a root or zero of the target function.
	Solve(Double)	Attempts to find the point where the target function equals the specified value.
	TestConvergence	Checks whether the algorithm has converged. (Inherited from IterativeAlgorithm.)
	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.)
	UpdateCurrentResult	Updates the current approximation in a point-wise convergence. (Inherited from IterativeAlgorithm.)
	ValueEvaluator	Returns the value to compare the estimated error to when testing whether the algorithm has converged. (Inherited from IterativeAlgorithm.)

	Name	Description
	DefaultMaxIterations	Specifies the default maximum number of iterations to use when approximating the roots of the target function.

The EquationSolver class is the abstract base class of all classes that implement equation solving algorithms. The class inherits from IterativeAlgorithm. All the properties and methods exposed by this interface are available to all derived classes.

This class cannot be instantiated directly. Instead, use one of the following derived classes: ClassDescriptionBisectionSolverRepresents a EquationSolver that uses the bisection algorithm.RegulaFalsiSolverRepresents a root finder that uses the regula falsi or false position algorithm.DekkerBrentSolverRepresents a root finder that uses Dekker and Brent's root bracketing algorithm.TOMS748SolverRepresents a root finder that uses Algorithm 748 from the ACM's Transactions On Mathematical Software (TOMS).NewtonRaphsonSolverRepresents a root finder based on the Newton-Raphson algorithm.

Reference