com.imsl.math

Class RadialBasis.Gaussian

java.lang.Object

com.imsl.math.RadialBasis.Gaussian

All Implemented Interfaces:

RadialBasis.Function

Enclosing class:

RadialBasis

public static class RadialBasis.Gaussian
extends Object
implements RadialBasis.Function

The Gaussian basis function, \(e^{-ax^2}\).

See Also:

Example

Constructor Summary

Constructors

Constructor and Description
Gaussian(double a) Creates a Gaussian basis function \(e^{-ax^2}\).

Method Summary

Modifier and Type	Method and Description
double	f(double x) A Gaussian basis function.
double	g(double x) The derivative of the Gaussian basis function used to calculate the gradient of the radial basis approximation.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Gaussian

public Gaussian(double a)

Creates a Gaussian basis function \(e^{-ax^2}\).

Parameters:

a - a double specifying the value of the function parameter. Decreasing the Gaussian parameter decreases fitting-error but may increase computational effort.

Method Detail

f

public double f(double x)

A Gaussian basis function.

Specified by:

f in interface RadialBasis.Function

Parameters:

x - a double, the point at which the function is to be evaluated

Returns:

a double, the value of the function at x

g

public double g(double x)

The derivative of the Gaussian basis function used to calculate the gradient of the radial basis approximation.

Specified by:

g in interface RadialBasis.Function

Parameters:

x - a double, the point at which the function is to be evaluated

Returns:

a double, the value of the function at x