Finds a zero of a function starting from an initial guess.
Namespace:
Extreme.Mathematics
Assembly:
Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.1
public static Vector<double> FindZero(
this Func<Vector<double>, Vector<double>, Vector<double>> targetFunction,
Func<Vector<double>, Matrix<double>, Matrix<double>> jacobianFunction,
Vector<double> initialGuess
)
<ExtensionAttribute>
Public Shared Function FindZero (
targetFunction As Func(Of Vector(Of Double), Vector(Of Double), Vector(Of Double)),
jacobianFunction As Func(Of Vector(Of Double), Matrix(Of Double), Matrix(Of Double)),
initialGuess As Vector(Of Double)
) As Vector(Of Double)
public:
[ExtensionAttribute]
static Vector<double>^ FindZero(
Func<Vector<double>^, Vector<double>^, Vector<double>^>^ targetFunction,
Func<Vector<double>^, Matrix<double>^, Matrix<double>^>^ jacobianFunction,
Vector<double>^ initialGuess
)
[<ExtensionAttribute>]
static member FindZero :
targetFunction : Func<Vector<float>, Vector<float>, Vector<float>> *
jacobianFunction : Func<Vector<float>, Matrix<float>, Matrix<float>> *
initialGuess : Vector<float> -> Vector<float>
Parameters
- targetFunction
- Type: SystemFuncVectorDouble, VectorDouble, VectorDouble
A delegate that represents a multivariate function that specifies the functions on the left-hand
side of the equations. - jacobianFunction
- Type: SystemFuncVectorDouble, MatrixDouble, MatrixDouble
A delegate that represents a multivariate function that specifies the Jacobian
function of targetFunction. - initialGuess
- Type: Extreme.MathematicsVectorDouble
An initial guess for ther zero.
Return Value
Type:
VectorDoubleThe best approximation to a zero of
targetFunction.
Usage Note
In Visual Basic and C#, you can call this method as an instance method on any object of type
FuncVectorDouble,
VectorDouble,
VectorDouble. 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).
Use this method when you have very little information about the location of the zero.
Reference