FunctionMath.GetEquationSolver(Func<Vector<Double>, Double>[], Func<Vector<Double>, Vector<Double>, Vector<Double>>[], Vector<Double>) Method

Finds a zero of a function starting from an initial guess.

Definition

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

public static EquationSystemSolver GetEquationSolver(
	this Func<Vector<double>, double>[] targetFunctions,
	Func<Vector<double>, Vector<double>, Vector<double>>[] gradientsOfTargetFunctions,
	Vector<double> initialGuess
)

Visual Basic

<ExtensionAttribute>
Public Shared Function GetEquationSolver ( 
	targetFunctions As Func(Of Vector(Of Double), Double)(),
	gradientsOfTargetFunctions As Func(Of Vector(Of Double), Vector(Of Double), Vector(Of Double))(),
	initialGuess As Vector(Of Double)
) As EquationSystemSolver

C++/CLI

public:
[ExtensionAttribute]
static EquationSystemSolver^ GetEquationSolver(
	array<Func<Vector<double>^, double>^>^ targetFunctions, 
	array<Func<Vector<double>^, Vector<double>^, Vector<double>^>^>^ gradientsOfTargetFunctions, 
	Vector<double>^ initialGuess
)

[<ExtensionAttribute>]
static member GetEquationSolver : 
        targetFunctions : Func<Vector<float>, float>[] * 
        gradientsOfTargetFunctions : Func<Vector<float>, Vector<float>, Vector<float>>[] * 
        initialGuess : Vector<float> -> EquationSystemSolver

Parameters

targetFunctions Func<Vector<Double>, Double>[]: A delegate that represents a multivariate function returning a vector that specifies the function on the left-hand side of the equation.
gradientsOfTargetFunctions Func<Vector<Double>, Vector<Double>, Vector<Double>>[]: A delegate that represents a multivariate function that specifies the gradient function of targetFunctions.
initialGuess Vector<Double>: An initial guess for ther zero.

Return Value

EquationSystemSolver
The best approximation to a zero of targetFunctions.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Func<Vector<Double>, Double>[]. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).

Remarks

Use this method when you have very little information about the location of the zero, but you need more control over the solution process. For example, you may want to specify a different RelativeTolerance.