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  • FunctionMath Class
    • Methods

FunctionMath Class

Extreme Optimization Numerical Libraries for .NET Professional
Contains methods that perform operations on mathematical functions.
Inheritance Hierarchy

SystemObject
  Extreme.MathematicsFunctionMath

Namespace:  Extreme.Mathematics
Assembly:  Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.1
Syntax

C#
VB
C++
F#
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public static class FunctionMath
<ExtensionAttribute>
Public NotInheritable Class FunctionMath
[ExtensionAttribute]
public ref class FunctionMath abstract sealed
[<AbstractClassAttribute>]
[<SealedAttribute>]
[<ExtensionAttribute>]
type FunctionMath =  class end

The FunctionMath type exposes the following members.

Methods

  NameDescription
Public methodStatic memberBackwardDerivative(FuncDouble, Double, Double)
Returns an approximation to the derivative of a function by using only function values at x and and values smaller than x.
Public methodStatic memberBackwardDerivative(FuncDouble, Double, Double, Double)
Returns an approximation to the derivative of a function by using only function values at x and and values smaller than x.
Public methodStatic memberBackwardDerivative(FuncDouble, Double, Double, Double, Int32)
Returns an approximation to the derivative of a function by using only function values at x and and values smaller than x.
Public methodStatic memberCentralDerivative(FuncDouble, Double, Double)
Returns an approximation to the derivative of a function.
Public methodStatic memberCentralDerivative(FuncDouble, Double, Double, Double)
Returns an approximation to the derivative of a function.
Public methodStatic memberCentralDerivative(FuncDouble, Double, Double, Double, Int32)
Returns an approximation to the derivative of a function.
Public methodStatic memberCombine
Constructs a multivariate function returning a vector from an array of multivariate function delegates.
Public methodStatic memberCombineFast(FuncVectorDouble, VectorDouble)
Constructs a delegate that represents a multivariate function returning a matrix in its second argument from an array of multivariate functions returning a vector.
Public methodStatic memberCombineFast(FuncVectorDouble, Double)
Constructs a multivariate function returning a vector in its second argument from an array of multivariate function delegates.
Public methodStatic memberCombineFast(FuncVectorDouble, VectorDouble, VectorDouble)
Constructs a delegate that represents a multivariate function returning a matrix in its second argument from an array of multivariate functions returning a vector.
Public methodStatic memberDerivative(FuncDouble, Double, Double)
Returns an approximation to the derivative of a function.
Public methodStatic memberDerivative(FuncDouble, Double, Double, DifferencesDirection)
Returns an approximation to the derivative of a function.
Public methodStatic memberDerivative(FuncDouble, Double, Double, Double)
Returns an approximation to the derivative of a function.
Public methodStatic memberDerivative(FuncDouble, Double, Double, DifferencesDirection, Int32)
Returns an approximation to the derivative of a function.
Public methodStatic memberFindMaximum(FuncVectorDouble, Double, VectorDouble)
Computes a maximum of the specified function.
Public methodStatic memberFindMaximum(FuncDouble, Double, Double)
Computes a maximum of the specified function.
Public methodStatic memberFindMaximum(FuncVectorDouble, Double, FuncVectorDouble, VectorDouble, VectorDouble, VectorDouble)
Computes a maximum of the specified function.
Public methodStatic memberFindMaximum(FuncDouble, Double, Double, Double)
Computes a maximum of the specified function.
Public methodStatic memberFindMinimum(FuncVectorDouble, Double, VectorDouble)
Computes a minimum of the specified function.
Public methodStatic memberFindMinimum(FuncDouble, Double, Double)
Computes a minimum of the specified function.
Public methodStatic memberFindMinimum(FuncVectorDouble, Double, FuncVectorDouble, VectorDouble, VectorDouble, VectorDouble)
Computes a minimum of the specified function.
Public methodStatic memberFindMinimum(FuncDouble, Double, Double, Double)
Computes a minimum of the specified function.
Public methodStatic memberFindZero(FuncVectorDouble, Double, VectorDouble)
Solves a system of nonlinear equations starting from an initial guess.
Public methodStatic memberFindZero(FuncDouble, Double, Double)
Finds a zero of a function starting from an initial guess.
Public methodStatic memberFindZero(FuncVectorDouble, VectorDouble, VectorDouble, VectorDouble)
Solves a system of nonlinear equations starting from an initial guess.
Public methodStatic memberFindZero(FuncVectorDouble, Double, FuncVectorDouble, VectorDouble, VectorDouble, VectorDouble)
Finds a zero of a function starting from an initial guess.
Public methodStatic memberFindZero(FuncDouble, Double, Double, Double)
Finds a zero of a function when the solution is known to lie within a specified interval.
Public methodStatic memberFindZero(FuncDouble, Double, FuncDouble, Double, Double)
Finds a zero of a function starting from an initial guess.
Public methodStatic memberFindZero(FuncVectorDouble, VectorDouble, VectorDouble, FuncVectorDouble, MatrixDouble, MatrixDouble, VectorDouble)
Finds a zero of a function starting from an initial guess.
Public methodStatic memberFindZero(FuncDouble, Double, FuncDouble, Double, Double, Double, Double)
Finds a zero of a function starting from an initial guess.
Public methodStatic memberForwardDerivative(FuncDouble, Double, Double)
Returns an approximation to the derivative of a function by using only function values at x and and values greater than x.
Public methodStatic memberForwardDerivative(FuncDouble, Double, Double, Double)
Returns an approximation to the derivative of a function by using only function values at x and and values greater than x.
Public methodStatic memberForwardDerivative(FuncDouble, Double, Double, Double, Int32)
Returns an approximation to the derivative of a function by using only function values at x and and values greater than x.
Public methodStatic memberGetBackwardDifferentiator
Creates a function of one variable that represents the numerical derivative of the specified function of one variable using backward differences.
Public methodStatic memberGetEquationSolver(FuncDouble, Double, Double)
Returns an EquationSolver suitable for solving an equation using the specified information.
Public methodStatic memberGetEquationSolver(FuncVectorDouble, Double, FuncVectorDouble, VectorDouble, VectorDouble, VectorDouble)
Finds a zero of a function starting from an initial guess.
Public methodStatic memberGetEquationSolver(FuncDouble, Double, Double, Double)
Finds a zero of a function when the solution is known to lie within a specified interval.
Public methodStatic memberGetEquationSolver(FuncDouble, Double, FuncDouble, Double, Double)
Finds a zero of a function starting from an initial guess.
Public methodStatic memberGetEquationSolver(FuncVectorDouble, VectorDouble, VectorDouble, FuncVectorDouble, MatrixDouble, MatrixDouble, VectorDouble)
Finds a zero of a function starting from an initial guess.
Public methodStatic memberGetForwardDifferentiator
Creates a function of one variable that represents the numerical derivative of the specified function of one variable using forward differences.
Public methodStatic memberGetIntegrator(FuncDouble, Double)
Returns a function that numerically evaluates the definite integral of a function between the two function arguments.
Public methodStatic memberGetIntegrator(FuncDouble, Double, Double)
Returns a function that numerically evaluates the definite integral from the specified lower bound to the function argument.
Public methodStatic memberGetMaximizer(FuncVectorDouble, Double)
Returns an MultidimensionalOptimizer suitable for solving an equation using the specified information.
Public methodStatic memberGetMaximizer(FuncDouble, Double)
Returns an OneDimensionalOptimizer suitable for solving an equation using the specified information.
Public methodStatic memberGetMaximizer(FuncVectorDouble, Double, FuncVectorDouble, VectorDouble, VectorDouble)
Finds a maximum of a function starting from an initial guess.
Public methodStatic memberGetMaximizer(FuncDouble, Double, FuncDouble, Double)
Finds a maximum of a function starting from an initial guess.
Public methodStatic memberGetMinimizer(FuncVectorDouble, Double)
Returns an MultidimensionalOptimizer suitable for finding the minimum of a function using the specified information.
Public methodStatic memberGetMinimizer(FuncDouble, Double)
Returns an OneDimensionalOptimizer suitable for solving an equation using the specified information.
Public methodStatic memberGetMinimizer(FuncVectorDouble, Double, FuncVectorDouble, VectorDouble, VectorDouble)
Finds a minimum of a function starting from an initial guess.
Public methodStatic memberGetMinimizer(FuncDouble, Double, FuncDouble, Double)
Finds a minimum of a function starting from an initial guess.
Public methodStatic memberGetNumericalDifferentiator
Creates a function of one variable that represents the numerical derivative of the specified function of one variable.
Public methodStatic memberGetNumericalGradient
Returns a delegate that numerically evaluates the gradient of a multivariate function.
Public methodStatic memberGetNumericalJacobian(FuncVectorDouble, Double)
Returns a delegate that numerically evaluates the Jacobian of a multivariate vector function.
Public methodStatic memberGetNumericalJacobian(FuncVectorDouble, VectorDouble, VectorDouble)
Returns a delegate that numerically evaluates the Jacobian of a multivariate vector function.
Public methodStatic memberGetNumericalJacobian(FuncVectorDouble, VectorDouble, VectorDouble, DifferencesDirection)
Returns a delegate that numerically evaluates the Jacobian of a multivariate vector function.
Public methodStatic memberGetNumericalJacobian(FuncVectorDouble, VectorDouble, VectorDouble, DifferencesDirection, VectorDouble)
Returns a delegate that numerically evaluates the Jacobian of a multivariate vector function.
Public methodStatic memberGetNumericalJacobian(FuncVectorDouble, VectorDouble, VectorDouble, DifferencesDirection, VectorDouble, VectorDouble)
Returns a delegate that numerically evaluates the Jacobian of a multivariate vector function.
Public methodStatic memberGetNumericalJacobian(FuncVectorDouble, VectorDouble, VectorDouble, DifferencesDirection, VectorDouble, VectorDouble, VectorDouble)
Returns a delegate that numerically evaluates the Jacobian of a multivariate vector function.
Public methodStatic memberIntegrate(FuncDouble, Double, IntervalDouble)
Numerically integrates a function of one variable.
Public methodStatic memberIntegrate(FuncDouble, Double, Double, Double)
Numerically integrates a function of one variable.
Public methodStatic memberIntegrate(FuncDouble, Double, Double, IntervalDouble, IntervalDouble)
Numerically integrates a function of two variables over a rectangular region.
Public methodStatic memberIntegrate(FuncDouble, Double, Double, Double, Double, Double, Double)
Numerically integrates a function of two variables over a rectangular region.
Public methodStatic memberProduct
Computes the product of an expression evaluated over the specified range.
Public methodStatic memberSum(FuncInt32, Double, Int32, Int32)
Computes the sum of an expression evaluated over the specified range.
Public methodStatic memberSumT(IEnumerableT, FuncT, Double)
Computes the sum of an expression evaluated for each member of a collection.
Public methodStatic memberSumIfT
Computes the sum of an expression evaluated for each member of a collection that meets the specified condition.
Public methodStatic memberSumSeries(FuncInt32, Double, Int32, Double)
Adds up the terms of a series.
Public methodStatic memberSumSeries(IEnumerableDouble, Int32, Double)
Adds up the terms of a series.
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See Also

Reference

Extreme.Mathematics Namespace

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