com.imsl.test.example.math

Class RadialBasisEx3

java.lang.Object

com.imsl.test.example.math.RadialBasisEx3

public class RadialBasisEx3
extends Object

Approximates a function using a Hardy multiquadric radial basis function.

Data is generated from the function $$e^\frac{y}{2.0}\sin{x}\cos\frac{y}{2.0}$$ where a number of (x,y) pairs make up a set of randomly chosen points. Random noise is added to the values, a Hardy multiquadric radial basis function is specified \(\sqrt{r^2+\delta^2}\) and a radial basis approximation of the noisy data is computed. The radial basis fit is then compared to the original function at another set of randomly chosen points. Both the average normalized error and the maximum normalized error are computed and printed.

In this example, the parameter of the Hardy multiquadric radial basis function \(\delta = 5.5\). The function is sampled at 100 random points and the error is computed at 10000 random points.

See Also:

Code, Output

Constructor Summary

Constructors

Constructor and Description
RadialBasisEx3()

Method Summary

Modifier and Type	Method and Description
static void	main(String[] args)

Methods inherited from class java.lang.Object

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

Constructor Detail

RadialBasisEx3

public RadialBasisEx3()

Method Detail

main

public static void main(String[] args)