FunctionMath.FindZero Method

Definition

Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.4

Overload List

FindZero(Func<Vector<Double>, Double>[], Vector<Double>)	Solves a system of nonlinear equations starting from an initial guess.
FindZero(Func<Double, Double>, Double)	Finds a zero of a function starting from an initial guess.
FindZero(Func<Vector<Double>, Vector<Double>, Vector<Double>>, Vector<Double>)	Solves a system of nonlinear equations starting from an initial guess.
FindZero(Func<Vector<Double>, Double>[], Func<Vector<Double>, Vector<Double>, Vector<Double>>[], Vector<Double>)	Finds a zero of a function starting from an initial guess.
FindZero(Func<Double, Double>, Double, Double)	Finds a zero of a function when the solution is known to lie within a specified interval.
FindZero(Func<Double, Double>, Func<Double, Double>, Double)	Finds a zero of a function starting from an initial guess.
FindZero(Func<Vector<Double>, Vector<Double>, Vector<Double>>, Func<Vector<Double>, Matrix<Double>, Matrix<Double>>, Vector<Double>)	Finds a zero of a function starting from an initial guess.
FindZero(Func<Double, Double>, Func<Double, Double>, Double, Double, Double)	Finds a zero of a function starting from an initial guess.
FindZero(Func<Double, ValueTuple<Double, Double, Double>>, Double, ConvergenceCriterion, Double, Double, Double)	Finds a zero of a function starting from an initial guess.
FindZero(Func<Double, ValueTuple<Double, Double>>, Double, ConvergenceCriterion, Double, Double, Double)	Finds a zero of a function starting from an initial guess.
FindZero(Func<Double, Double>, Func<Double, Double>, Func<Double, Double>, Double, ConvergenceCriterion, Double, Double, Double)	Finds a zero of a function starting from an initial guess.

FindZero(Func<Vector<Double>, Double>[], Vector<Double>)

Solves a system of nonlinear equations starting from an initial guess.

public static Vector<double> FindZero(
	this Func<Vector<double>, double>[] targetFunctions,
	Vector<double> initialGuess
)

Visual Basic

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

C++/CLI

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

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

Parameters

targetFunctions Func<Vector<Double>, Double>[]: An array of delegates that represent a multivariate function that specify the left-hand sides of the equation.
initialGuess Vector<Double>: An initial guess for the solution.

Return Value

Vector<Double>
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.

Exceptions

ConvergenceException

The algorithm failed to converge to a solution.

FindZero(Func<Double, Double>, Double)

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

public static double FindZero(
	this Func<double, double> targetFunction,
	double initialGuess
)

Visual Basic

<ExtensionAttribute>
Public Shared Function FindZero ( 
	targetFunction As Func(Of Double, Double),
	initialGuess As Double
) As Double

C++/CLI

public:
[ExtensionAttribute]
static double FindZero(
	Func<double, double>^ targetFunction, 
	double initialGuess
)

[<ExtensionAttribute>]
static member FindZero : 
        targetFunction : Func<float, float> * 
        initialGuess : float -> float

Parameters

targetFunction Func<Double, Double>: A delegate that represents a function of one variable that specifies the function on the left-hand side of the equation.
initialGuess Double: An initial guess for ther zero.

Return Value

Double
The 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 Func<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.

Exceptions

ConvergenceException

The algorithm failed to converge to a solution.

FindZero(Func<Vector<Double>, Vector<Double>, Vector<Double>>, Vector<Double>)

Solves a system of nonlinear equations starting from an initial guess.

public static Vector<double> FindZero(
	this Func<Vector<double>, Vector<double>?, Vector<double>> targetFunction,
	Vector<double> initialGuess
)

Visual Basic

<ExtensionAttribute>
Public Shared Function FindZero ( 
	targetFunction As Func(Of Vector(Of Double), Vector(Of Double), Vector(Of Double)),
	initialGuess As Vector(Of Double)
) As Vector(Of Double)

C++/CLI

public:
[ExtensionAttribute]
static Vector<double>^ FindZero(
	Func<Vector<double>^, Vector<double>^, Vector<double>^>^ targetFunction, 
	Vector<double>^ initialGuess
)

[<ExtensionAttribute>]
static member FindZero : 
        targetFunction : Func<Vector<float>, Vector<float>, Vector<float>> * 
        initialGuess : Vector<float> -> Vector<float>

Parameters

targetFunction Func<Vector<Double>, Vector<Double>, Vector<Double>>: A delegate that represents a multivariate function returning a vector in its second argument that calculates the left-hand sides of the equation.
initialGuess Vector<Double>: An initial guess for the solution.

Return Value

Vector<Double>
The 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 Func<Vector<Double>, Vector<Double>, Vector<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.

Exceptions

ConvergenceException

The algorithm failed to converge to a solution.

FindZero(Func<Vector<Double>, Double>[], Func<Vector<Double>, Vector<Double>, Vector<Double>>[], Vector<Double>)

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

public static Vector<double> FindZero(
	this Func<Vector<double>, double>[] targetFunctions,
	Func<Vector<double>, Vector<double>?, Vector<double>>[] gradientOfTargetFunctions,
	Vector<double> initialGuess
)

Visual Basic

<ExtensionAttribute>
Public Shared Function FindZero ( 
	targetFunctions As Func(Of Vector(Of Double), Double)(),
	gradientOfTargetFunctions As Func(Of Vector(Of Double), Vector(Of Double), Vector(Of Double))(),
	initialGuess As Vector(Of Double)
) As Vector(Of Double)

C++/CLI

public:
[ExtensionAttribute]
static Vector<double>^ FindZero(
	array<Func<Vector<double>^, double>^>^ targetFunctions, 
	array<Func<Vector<double>^, Vector<double>^, Vector<double>^>^>^ gradientOfTargetFunctions, 
	Vector<double>^ initialGuess
)

[<ExtensionAttribute>]
static member FindZero : 
        targetFunctions : Func<Vector<float>, float>[] * 
        gradientOfTargetFunctions : Func<Vector<float>, Vector<float>, Vector<float>>[] * 
        initialGuess : Vector<float> -> Vector<float>

Parameters

targetFunctions Func<Vector<Double>, Double>[]: A delegate that represents a multivariate function that specifies the function on the left-hand side of the equation.
gradientOfTargetFunctions 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

Vector<Double>
The best approximation to a zero of targetFunctions.

Usage Note

Remarks

Use this method when you have very little information about the location of the zero.

Exceptions

ConvergenceException

The algorithm failed to converge to a solution.

FindZero(Func<Double, Double>, Double, Double)

Finds a zero of a function when the solution is known to lie within a specified interval.

public static double FindZero(
	this Func<double, double> targetFunction,
	double lowerBound,
	double upperBound
)

Visual Basic

<ExtensionAttribute>
Public Shared Function FindZero ( 
	targetFunction As Func(Of Double, Double),
	lowerBound As Double,
	upperBound As Double
) As Double

C++/CLI

public:
[ExtensionAttribute]
static double FindZero(
	Func<double, double>^ targetFunction, 
	double lowerBound, 
	double upperBound
)

[<ExtensionAttribute>]
static member FindZero : 
        targetFunction : Func<float, float> * 
        lowerBound : float * 
        upperBound : float -> float

Parameters

targetFunction Func<Double, Double>: A delegate that represents a function of one variable that specifies the function on the left-hand side of the equation.
lowerBound Double: The lower bound of the interval that contains the root.
upperBound Double: The upper bound of the interval that contains the root.

Return Value

Double
The best approximation to a zero of targetFunction.

Usage Note

Exceptions

ConvergenceException

The algorithm failed to converge to a solution.

FindZero(Func<Double, Double>, Func<Double, Double>, Double)

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

public static double FindZero(
	this Func<double, double> targetFunction,
	Func<double, double> derivativeOfTargetFunction,
	double initialGuess
)

Visual Basic

<ExtensionAttribute>
Public Shared Function FindZero ( 
	targetFunction As Func(Of Double, Double),
	derivativeOfTargetFunction As Func(Of Double, Double),
	initialGuess As Double
) As Double

C++/CLI

public:
[ExtensionAttribute]
static double FindZero(
	Func<double, double>^ targetFunction, 
	Func<double, double>^ derivativeOfTargetFunction, 
	double initialGuess
)

[<ExtensionAttribute>]
static member FindZero : 
        targetFunction : Func<float, float> * 
        derivativeOfTargetFunction : Func<float, float> * 
        initialGuess : float -> float

Parameters

targetFunction Func<Double, Double>: A delegate that represents a function of one variable that specifies the function on the left-hand side of the equation.
derivativeOfTargetFunction Func<Double, Double>: A delegate that represents a function of one variable that specifies the derivative function of targetFunction.
initialGuess Double: An initial guess for ther zero.

Return Value

Double
The best approximation to a zero of targetFunction.

Usage Note

Remarks

Use this method when you have very little information about the location of the zero.

Exceptions

ConvergenceException

The algorithm failed to converge to a solution.

FindZero(Func<Vector<Double>, Vector<Double>, Vector<Double>>, Func<Vector<Double>, Matrix<Double>, Matrix<Double>>, Vector<Double>)

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

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
)

Visual Basic

<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)

C++/CLI

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 Func<Vector<Double>, Vector<Double>, Vector<Double>>: A delegate that represents a multivariate function that specifies the functions on the left-hand side of the equations.
jacobianFunction Func<Vector<Double>, Matrix<Double>, Matrix<Double>>: A delegate that represents a multivariate function that specifies the Jacobian function of targetFunction.
initialGuess Vector<Double>: An initial guess for ther zero.

Return Value

Vector<Double>
The best approximation to a zero of targetFunction.

Usage Note

Remarks

Use this method when you have very little information about the location of the zero.

Exceptions

ConvergenceException

The algorithm failed to converge to a solution.

FindZero(Func<Double, Double>, Func<Double, Double>, Double, Double, Double)

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

public static double FindZero(
	this Func<double, double> targetFunction,
	Func<double, double> derivativeOfTargetFunction,
	double initialGuess,
	double lowerBound,
	double upperBound
)

Visual Basic

<ExtensionAttribute>
Public Shared Function FindZero ( 
	targetFunction As Func(Of Double, Double),
	derivativeOfTargetFunction As Func(Of Double, Double),
	initialGuess As Double,
	lowerBound As Double,
	upperBound As Double
) As Double

C++/CLI

public:
[ExtensionAttribute]
static double FindZero(
	Func<double, double>^ targetFunction, 
	Func<double, double>^ derivativeOfTargetFunction, 
	double initialGuess, 
	double lowerBound, 
	double upperBound
)

[<ExtensionAttribute>]
static member FindZero : 
        targetFunction : Func<float, float> * 
        derivativeOfTargetFunction : Func<float, float> * 
        initialGuess : float * 
        lowerBound : float * 
        upperBound : float -> float

Parameters

targetFunction Func<Double, Double>: A delegate that represents a function of one variable that specifies the function on the left-hand side of the equation.
derivativeOfTargetFunction Func<Double, Double>: A delegate that represents the derivative function of targetFunction.
initialGuess Double: An initial guess for ther zero.
lowerBound Double: The lower bound of the interval that contains the root.
upperBound Double: The upper bound of the interval that contains the root.

Return Value

Double
The best approximation to a zero of targetFunction.

Usage Note

Remarks

Use this method when you have very little information about the location of the zero.

Exceptions

ConvergenceException

The algorithm failed to converge to a solution.

FindZero(Func<Double, ValueTuple<Double, Double, Double>>, Double, ConvergenceCriterion, Double, Double, Double)

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

public static double FindZero(
	this Func<double, (double , double , double )> targetFunctionWithDerivatives,
	double initialGuess,
	ConvergenceCriterion convergenceCriterion = ConvergenceCriterion.WithinRelativeTolerance,
	double tolerance = 6.05545445239334E-06,
	double lowerBound = -∞,
	double upperBound = ∞
)

Visual Basic

<ExtensionAttribute>
Public Shared Function FindZero ( 
	targetFunctionWithDerivatives As Func(Of Double, ( As Double,  As Double,  As Double)),
	initialGuess As Double,
	Optional convergenceCriterion As ConvergenceCriterion = ConvergenceCriterion.WithinRelativeTolerance,
	Optional tolerance As Double = 6.05545445239334E-06,
	Optional lowerBound As Double = -∞,
	Optional upperBound As Double = ∞
) As Double

C++/CLI

public:
[ExtensionAttribute]
static double FindZero(
	Func<double, ValueTuple<double, double, double>>^ targetFunctionWithDerivatives, 
	double initialGuess, 
	ConvergenceCriterion convergenceCriterion = ConvergenceCriterion::WithinRelativeTolerance, 
	double tolerance = 6.05545445239334E-06, 
	double lowerBound = -∞, 
	double upperBound = ∞
)

[<ExtensionAttribute>]
static member FindZero : 
        targetFunctionWithDerivatives : Func<float, ValueTuple<float, float, float>> * 
        initialGuess : float * 
        ?convergenceCriterion : ConvergenceCriterion * 
        ?tolerance : float * 
        ?lowerBound : float * 
        ?upperBound : float 
(* Defaults:
        let _convergenceCriterion = defaultArg convergenceCriterion ConvergenceCriterion.WithinRelativeTolerance
        let _tolerance = defaultArg tolerance 6.05545445239334E-06
        let _lowerBound = defaultArg lowerBound -∞
        let _upperBound = defaultArg upperBound ∞
*)
-> float

Parameters

targetFunctionWithDerivatives Func<Double, ValueTuple<Double, Double, Double>>: A delegate that represents a function of one variable that specifies the function on the left-hand side of the equation and returns the function value, the first derivative, and the second derivative as a tuple.
initialGuess Double: An initial guess for ther zero.
convergenceCriterion ConvergenceCriterion (Optional): Optional. The convergence criterion to use. The default is to be within the relative tolerance.
tolerance Double (Optional): Optional. The tolerance that is used in the convergence test. The default is the cube root of the machine precision.
lowerBound Double (Optional): Optional. The lower bound of the interval that contains the root. The default value is NegativeInfinity.
upperBound Double (Optional): Optional. The upper bound of the interval that contains the root. The default value is PositiveInfinity.

Return Value

Double
The best approximation to a zero of targetFunctionWithDerivatives.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Func<Double, ValueTuple<Double, 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

This method uses Halley's third order algorithm.

Exceptions

ConvergenceException

The algorithm failed to converge to a solution.

FindZero(Func<Double, ValueTuple<Double, Double>>, Double, ConvergenceCriterion, Double, Double, Double)

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

public static double FindZero(
	this Func<double, (double , double )> targetFunctionWithDerivative,
	double initialGuess,
	ConvergenceCriterion convergenceCriterion = ConvergenceCriterion.WithinRelativeTolerance,
	double tolerance = 6.05545445239334E-06,
	double lowerBound = -∞,
	double upperBound = ∞
)

Visual Basic

<ExtensionAttribute>
Public Shared Function FindZero ( 
	targetFunctionWithDerivative As Func(Of Double, ( As Double,  As Double)),
	initialGuess As Double,
	Optional convergenceCriterion As ConvergenceCriterion = ConvergenceCriterion.WithinRelativeTolerance,
	Optional tolerance As Double = 6.05545445239334E-06,
	Optional lowerBound As Double = -∞,
	Optional upperBound As Double = ∞
) As Double

C++/CLI

public:
[ExtensionAttribute]
static double FindZero(
	Func<double, ValueTuple<double, double>>^ targetFunctionWithDerivative, 
	double initialGuess, 
	ConvergenceCriterion convergenceCriterion = ConvergenceCriterion::WithinRelativeTolerance, 
	double tolerance = 6.05545445239334E-06, 
	double lowerBound = -∞, 
	double upperBound = ∞
)

[<ExtensionAttribute>]
static member FindZero : 
        targetFunctionWithDerivative : Func<float, ValueTuple<float, float>> * 
        initialGuess : float * 
        ?convergenceCriterion : ConvergenceCriterion * 
        ?tolerance : float * 
        ?lowerBound : float * 
        ?upperBound : float 
(* Defaults:
        let _convergenceCriterion = defaultArg convergenceCriterion ConvergenceCriterion.WithinRelativeTolerance
        let _tolerance = defaultArg tolerance 6.05545445239334E-06
        let _lowerBound = defaultArg lowerBound -∞
        let _upperBound = defaultArg upperBound ∞
*)
-> float

Parameters

targetFunctionWithDerivative Func<Double, ValueTuple<Double, Double>>: A delegate that returns a function of one variable that specifies the function on the left-hand side of the equation, and its derivative.
initialGuess Double: An initial guess for ther zero.
convergenceCriterion ConvergenceCriterion (Optional): Optional. The convergence criterion to use. The default is to be within the relative tolerance.
tolerance Double (Optional): Optional. The tolerance that is used in the convergence test. The default is the cube root of the machine precision.
lowerBound Double (Optional): The lower bound of the interval that contains the root.
upperBound Double (Optional): The upper bound of the interval that contains the root.

Return Value

Double
The best approximation to a zero of the first item of targetFunctionWithDerivative.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Func<Double, ValueTuple<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.

Exceptions

ConvergenceException

The algorithm failed to converge to a solution.

FindZero(Func<Double, Double>, Func<Double, Double>, Func<Double, Double>, Double, ConvergenceCriterion, Double, Double, Double)

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

public static double FindZero(
	this Func<double, double> targetFunction,
	Func<double, double> derivativeOfTargetFunction,
	Func<double, double> secondDerivativeOfTargetFunction,
	double initialGuess,
	ConvergenceCriterion convergenceCriterion = ConvergenceCriterion.WithinRelativeTolerance,
	double tolerance = 6.05545445239334E-06,
	double lowerBound = -∞,
	double upperBound = ∞
)

Visual Basic

<ExtensionAttribute>
Public Shared Function FindZero ( 
	targetFunction As Func(Of Double, Double),
	derivativeOfTargetFunction As Func(Of Double, Double),
	secondDerivativeOfTargetFunction As Func(Of Double, Double),
	initialGuess As Double,
	Optional convergenceCriterion As ConvergenceCriterion = ConvergenceCriterion.WithinRelativeTolerance,
	Optional tolerance As Double = 6.05545445239334E-06,
	Optional lowerBound As Double = -∞,
	Optional upperBound As Double = ∞
) As Double

C++/CLI

public:
[ExtensionAttribute]
static double FindZero(
	Func<double, double>^ targetFunction, 
	Func<double, double>^ derivativeOfTargetFunction, 
	Func<double, double>^ secondDerivativeOfTargetFunction, 
	double initialGuess, 
	ConvergenceCriterion convergenceCriterion = ConvergenceCriterion::WithinRelativeTolerance, 
	double tolerance = 6.05545445239334E-06, 
	double lowerBound = -∞, 
	double upperBound = ∞
)

[<ExtensionAttribute>]
static member FindZero : 
        targetFunction : Func<float, float> * 
        derivativeOfTargetFunction : Func<float, float> * 
        secondDerivativeOfTargetFunction : Func<float, float> * 
        initialGuess : float * 
        ?convergenceCriterion : ConvergenceCriterion * 
        ?tolerance : float * 
        ?lowerBound : float * 
        ?upperBound : float 
(* Defaults:
        let _convergenceCriterion = defaultArg convergenceCriterion ConvergenceCriterion.WithinRelativeTolerance
        let _tolerance = defaultArg tolerance 6.05545445239334E-06
        let _lowerBound = defaultArg lowerBound -∞
        let _upperBound = defaultArg upperBound ∞
*)
-> float

Parameters

targetFunction Func<Double, Double>: A delegate that represents a function of one variable that specifies the function on the left-hand side of the equation.
derivativeOfTargetFunction Func<Double, Double>: A delegate that represents the derivative function of targetFunction.
secondDerivativeOfTargetFunction Func<Double, Double>: A delegate that represents the second derivative function of targetFunction.
initialGuess Double: An initial guess for ther zero.
convergenceCriterion ConvergenceCriterion (Optional): Optional. The convergence criterion to use. The default is to be within the relative tolerance.
tolerance Double (Optional): Optional. The tolerance that is used in the convergence test. The default is the cube root of the machine precision.
lowerBound Double (Optional): Optional. The lower bound of the interval that contains the root. The default value is NegativeInfinity.
upperBound Double (Optional): Optional. The upper bound of the interval that contains the root. The default value is PositiveInfinity.

Return Value

Double
The best approximation to a zero of targetFunction.

Usage Note

Remarks

This method uses Halley's third order algorithm.

Exceptions

ConvergenceException

The algorithm failed to converge to a solution.

FunctionMath.FindZero Method

Definition

Overload List

FindZero(Func<Vector<Double>, Double>[], Vector<Double>)

Parameters

Return Value

Usage Note

Remarks

Exceptions

FindZero(Func<Double, Double>, Double)

Parameters

Return Value

Usage Note

Remarks

Exceptions

FindZero(Func<Vector<Double>, Vector<Double>, Vector<Double>>, Vector<Double>)

Parameters

Return Value

Usage Note

Remarks

Exceptions

FindZero(Func<Vector<Double>, Double>[], Func<Vector<Double>, Vector<Double>, Vector<Double>>[], Vector<Double>)

Parameters

Return Value

Usage Note

Remarks

Exceptions

FindZero(Func<Double, Double>, Double, Double)

Parameters

Return Value

Usage Note

Exceptions

FindZero(Func<Double, Double>, Func<Double, Double>, Double)

Parameters

Return Value

Usage Note

Remarks

Exceptions

FindZero(Func<Vector<Double>, Vector<Double>, Vector<Double>>, Func<Vector<Double>, Matrix<Double>, Matrix<Double>>, Vector<Double>)

Parameters

Return Value

Usage Note

Remarks

Exceptions

FindZero(Func<Double, Double>, Func<Double, Double>, Double, Double, Double)

Parameters

Return Value

Usage Note

Remarks

Exceptions

FindZero(Func<Double, ValueTuple<Double, Double, Double>>, Double, ConvergenceCriterion, Double, Double, Double)

Parameters

Return Value

Usage Note

Remarks

Exceptions

FindZero(Func<Double, ValueTuple<Double, Double>>, Double, ConvergenceCriterion, Double, Double, Double)

Parameters

Return Value

Usage Note

Remarks

Exceptions

FindZero(Func<Double, Double>, Func<Double, Double>, Func<Double, Double>, Double, ConvergenceCriterion, Double, Double, Double)

Parameters

Return Value

Usage Note

Remarks

Exceptions

See Also

Reference