JMSLTM Numerical Library 6.1

com.imsl.math
Class RadialBasis.Gaussian

java.lang.Object
  extended by 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
RadialBasis.Gaussian(double a)
          Creates a Gaussian basis function e^{-ax^2}.
 
Method Summary
 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

RadialBasis.Gaussian

public RadialBasis.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

JMSLTM Numerical Library 6.1

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Built July 30 2010.