SymbolicMath.FindMinimum Method

Definition

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

Overload List

FindMinimum(Expression<Func<Vector<Double>, Double>>, Vector<Double>)	Computes a minimum of the specified function.
FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double>>, Vector<Double>)	Computes a minimum of the specified function.
FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double>>, Vector<Double>)	Computes a minimum of the specified function.
FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double, Double>>, Vector<Double>)	Computes a minimum of the specified function.
FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double>>, Vector<Double>)	Computes a minimum of the specified function.
FindMinimum(Expression<Func<Double, Double, Double, Double, Double>>, Vector<Double>)	Computes a minimum of the specified function.
FindMinimum(Expression<Func<Double, Double, Double, Double>>, Vector<Double>)	Computes a minimum of the specified function.
FindMinimum(Expression<Func<Double, Double, Double>>, Vector<Double>)	Computes a minimum of the specified function.
FindMinimum(Expression<Func<Double, Double>>, Double, Double)	Computes a minimum of the specified function.

FindMinimum(Expression<Func<Vector<Double>, Double>>, Vector<Double>)

Computes a minimum of the specified function.

public static OptimizationSolutionReport FindMinimum(
	Expression<Func<Vector<double>, double>> objectiveFunction,
	Vector<double> initialGuess
)

Visual Basic

Public Shared Function FindMinimum ( 
	objectiveFunction As Expression(Of Func(Of Vector(Of Double), Double)),
	initialGuess As Vector(Of Double)
) As OptimizationSolutionReport

C++/CLI

public:
static OptimizationSolutionReport^ FindMinimum(
	Expression<Func<Vector<double>^, double>^>^ objectiveFunction, 
	Vector<double>^ initialGuess
)

static member FindMinimum : 
        objectiveFunction : Expression<Func<Vector<float>, float>> * 
        initialGuess : Vector<float> -> OptimizationSolutionReport

Parameters

objectiveFunction Expression<Func<Vector<Double>, Double>>: A lambda expression that represents a multivariate function that evaluates the objective function.
initialGuess Vector<Double>: The starting point for the iteration.

Return Value

OptimizationSolutionReport
A local minimum of objectiveFunction.

Exceptions

ConvergenceException

The algorithm failed to converge and ThrowExceptionOnFailure is set to true.

FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double>>, Vector<Double>)

Computes a minimum of the specified function.

public static OptimizationSolutionReport FindMinimum(
	Expression<Func<double, double, double, double, double, double, double, double, double>> objectiveFunction,
	Vector<double> initialGuess
)

Visual Basic

Public Shared Function FindMinimum ( 
	objectiveFunction As Expression(Of Func(Of Double, Double, Double, Double, Double, Double, Double, Double, Double)),
	initialGuess As Vector(Of Double)
) As OptimizationSolutionReport

C++/CLI

public:
static OptimizationSolutionReport^ FindMinimum(
	Expression<Func<double, double, double, double, double, double, double, double, double>^>^ objectiveFunction, 
	Vector<double>^ initialGuess
)

static member FindMinimum : 
        objectiveFunction : Expression<Func<float, float, float, float, float, float, float, float, float>> * 
        initialGuess : Vector<float> -> OptimizationSolutionReport

Parameters

objectiveFunction Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double>>: A lambda expression that represents a function of eight variables that evaluates the objective function.
initialGuess Vector<Double>: The starting point for the iteration.

Return Value

OptimizationSolutionReport
A local minimum of objectiveFunction.

Exceptions

ConvergenceException

The algorithm failed to converge and ThrowExceptionOnFailure is set to true.

FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double>>, Vector<Double>)

Computes a minimum of the specified function.

public static OptimizationSolutionReport FindMinimum(
	Expression<Func<double, double, double, double, double, double, double, double>> objectiveFunction,
	Vector<double> initialGuess
)

Visual Basic

Public Shared Function FindMinimum ( 
	objectiveFunction As Expression(Of Func(Of Double, Double, Double, Double, Double, Double, Double, Double)),
	initialGuess As Vector(Of Double)
) As OptimizationSolutionReport

C++/CLI

public:
static OptimizationSolutionReport^ FindMinimum(
	Expression<Func<double, double, double, double, double, double, double, double>^>^ objectiveFunction, 
	Vector<double>^ initialGuess
)

static member FindMinimum : 
        objectiveFunction : Expression<Func<float, float, float, float, float, float, float, float>> * 
        initialGuess : Vector<float> -> OptimizationSolutionReport

Parameters

objectiveFunction Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double>>: A lambda expression that represents a function of seven variables that evaluates the objective function.
initialGuess Vector<Double>: The starting point for the iteration.

Return Value

OptimizationSolutionReport
A local minimum of objectiveFunction.

Exceptions

ConvergenceException

The algorithm failed to converge and ThrowExceptionOnFailure is set to true.

FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double, Double>>, Vector<Double>)

Computes a minimum of the specified function.

public static OptimizationSolutionReport FindMinimum(
	Expression<Func<double, double, double, double, double, double, double>> objectiveFunction,
	Vector<double> initialGuess
)

Visual Basic

Public Shared Function FindMinimum ( 
	objectiveFunction As Expression(Of Func(Of Double, Double, Double, Double, Double, Double, Double)),
	initialGuess As Vector(Of Double)
) As OptimizationSolutionReport

C++/CLI

public:
static OptimizationSolutionReport^ FindMinimum(
	Expression<Func<double, double, double, double, double, double, double>^>^ objectiveFunction, 
	Vector<double>^ initialGuess
)

static member FindMinimum : 
        objectiveFunction : Expression<Func<float, float, float, float, float, float, float>> * 
        initialGuess : Vector<float> -> OptimizationSolutionReport

Parameters

objectiveFunction Expression<Func<Double, Double, Double, Double, Double, Double, Double>>: A lambda expression that represents a function of six variables that evaluates the objective function.
initialGuess Vector<Double>: The starting point for the iteration.

Return Value

OptimizationSolutionReport
A local minimum of objectiveFunction.

Exceptions

ConvergenceException

The algorithm failed to converge and ThrowExceptionOnFailure is set to true.

FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double>>, Vector<Double>)

Computes a minimum of the specified function.

public static OptimizationSolutionReport FindMinimum(
	Expression<Func<double, double, double, double, double, double>> objectiveFunction,
	Vector<double> initialGuess
)

Visual Basic

Public Shared Function FindMinimum ( 
	objectiveFunction As Expression(Of Func(Of Double, Double, Double, Double, Double, Double)),
	initialGuess As Vector(Of Double)
) As OptimizationSolutionReport

C++/CLI

public:
static OptimizationSolutionReport^ FindMinimum(
	Expression<Func<double, double, double, double, double, double>^>^ objectiveFunction, 
	Vector<double>^ initialGuess
)

static member FindMinimum : 
        objectiveFunction : Expression<Func<float, float, float, float, float, float>> * 
        initialGuess : Vector<float> -> OptimizationSolutionReport

Parameters

objectiveFunction Expression<Func<Double, Double, Double, Double, Double, Double>>: A lambda expression that represents a function of five variables that evaluates the objective function.
initialGuess Vector<Double>: The starting point for the iteration.

Return Value

OptimizationSolutionReport
A local minimum of objectiveFunction.

Exceptions

ConvergenceException

The algorithm failed to converge and ThrowExceptionOnFailure is set to true.

FindMinimum(Expression<Func<Double, Double, Double, Double, Double>>, Vector<Double>)

Computes a minimum of the specified function.

public static OptimizationSolutionReport FindMinimum(
	Expression<Func<double, double, double, double, double>> objectiveFunction,
	Vector<double> initialGuess
)

Visual Basic

Public Shared Function FindMinimum ( 
	objectiveFunction As Expression(Of Func(Of Double, Double, Double, Double, Double)),
	initialGuess As Vector(Of Double)
) As OptimizationSolutionReport

C++/CLI

public:
static OptimizationSolutionReport^ FindMinimum(
	Expression<Func<double, double, double, double, double>^>^ objectiveFunction, 
	Vector<double>^ initialGuess
)

static member FindMinimum : 
        objectiveFunction : Expression<Func<float, float, float, float, float>> * 
        initialGuess : Vector<float> -> OptimizationSolutionReport

Parameters

objectiveFunction Expression<Func<Double, Double, Double, Double, Double>>: A lambda expression that represents a function of four variables that evaluates the objective function.
initialGuess Vector<Double>: The starting point for the iteration.

Return Value

OptimizationSolutionReport
A local minimum of objectiveFunction.

Exceptions

ConvergenceException

The algorithm failed to converge and ThrowExceptionOnFailure is set to true.

FindMinimum(Expression<Func<Double, Double, Double, Double>>, Vector<Double>)

Computes a minimum of the specified function.

public static OptimizationSolutionReport FindMinimum(
	Expression<Func<double, double, double, double>> objectiveFunction,
	Vector<double> initialGuess
)

Visual Basic

Public Shared Function FindMinimum ( 
	objectiveFunction As Expression(Of Func(Of Double, Double, Double, Double)),
	initialGuess As Vector(Of Double)
) As OptimizationSolutionReport

C++/CLI

public:
static OptimizationSolutionReport^ FindMinimum(
	Expression<Func<double, double, double, double>^>^ objectiveFunction, 
	Vector<double>^ initialGuess
)

static member FindMinimum : 
        objectiveFunction : Expression<Func<float, float, float, float>> * 
        initialGuess : Vector<float> -> OptimizationSolutionReport

Parameters

objectiveFunction Expression<Func<Double, Double, Double, Double>>: A lambda expression that represents a function of three variables that evaluates the objective function.
initialGuess Vector<Double>: The starting point for the iteration.

Return Value

OptimizationSolutionReport
A local minimum of objectiveFunction.

Exceptions

ConvergenceException

The algorithm failed to converge and ThrowExceptionOnFailure is set to true.

FindMinimum(Expression<Func<Double, Double, Double>>, Vector<Double>)

Computes a minimum of the specified function.

public static OptimizationSolutionReport FindMinimum(
	Expression<Func<double, double, double>> objectiveFunction,
	Vector<double> initialGuess
)

Visual Basic

Public Shared Function FindMinimum ( 
	objectiveFunction As Expression(Of Func(Of Double, Double, Double)),
	initialGuess As Vector(Of Double)
) As OptimizationSolutionReport

C++/CLI

public:
static OptimizationSolutionReport^ FindMinimum(
	Expression<Func<double, double, double>^>^ objectiveFunction, 
	Vector<double>^ initialGuess
)

static member FindMinimum : 
        objectiveFunction : Expression<Func<float, float, float>> * 
        initialGuess : Vector<float> -> OptimizationSolutionReport

Parameters

objectiveFunction Expression<Func<Double, Double, Double>>: A lambda expression that represents a function of two variables that evaluates the objective function.
initialGuess Vector<Double>: The starting point for the iteration.

Return Value

OptimizationSolutionReport
A local minimum of objectiveFunction.

Exceptions

ConvergenceException

The algorithm failed to converge and ThrowExceptionOnFailure is set to true.

FindMinimum(Expression<Func<Double, Double>>, Double, Double)

Computes a minimum of the specified function.

public static SolutionReport<double, double> FindMinimum(
	Expression<Func<double, double>> objectiveFunction,
	double lowerBound,
	double upperBound
)

Visual Basic

Public Shared Function FindMinimum ( 
	objectiveFunction As Expression(Of Func(Of Double, Double)),
	lowerBound As Double,
	upperBound As Double
) As SolutionReport(Of Double, Double)

C++/CLI

public:
static SolutionReport<double, double>^ FindMinimum(
	Expression<Func<double, double>^>^ objectiveFunction, 
	double lowerBound, 
	double upperBound
)

static member FindMinimum : 
        objectiveFunction : Expression<Func<float, float>> * 
        lowerBound : float * 
        upperBound : float -> SolutionReport<float, float>

Parameters

objectiveFunction Expression<Func<Double, Double>>: A lambda expression that represents a function of one variable that evaluates the objective function.
lowerBound Double: The lower bound of the interval where a minimum is to be located.
upperBound Double: The upper bound of the interval where a minimum is to be located.

Return Value

SolutionReport<Double, Double>
A local minimum of objectiveFunction.

Exceptions

ConvergenceException

The algorithm failed to converge and ThrowExceptionOnFailure is set to true.

SymbolicMath.FindMinimum Method

Definition

Overload List

FindMinimum(Expression<Func<Vector<Double>, Double>>, Vector<Double>)

Parameters

Return Value

Exceptions

FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double>>, Vector<Double>)

Parameters

Return Value

Exceptions

FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double>>, Vector<Double>)

Parameters

Return Value

Exceptions

FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double, Double>>, Vector<Double>)

Parameters

Return Value

Exceptions

FindMinimum(Expression<Func<Double, Double, Double, Double, Double, Double>>, Vector<Double>)

Parameters

Return Value

Exceptions

FindMinimum(Expression<Func<Double, Double, Double, Double, Double>>, Vector<Double>)

Parameters

Return Value

Exceptions

FindMinimum(Expression<Func<Double, Double, Double, Double>>, Vector<Double>)

Parameters

Return Value

Exceptions

FindMinimum(Expression<Func<Double, Double, Double>>, Vector<Double>)

Parameters

Return Value

Exceptions

FindMinimum(Expression<Func<Double, Double>>, Double, Double)

Parameters

Return Value

Exceptions

See Also

Reference