com.imsl.math

Class RadialBasis.HardyMultiquadric

java.lang.Object

com.imsl.math.RadialBasis.HardyMultiquadric

All Implemented Interfaces:

RadialBasis.Function

Enclosing class:

RadialBasis

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

The Hardy multiquadric basis function, \(\sqrt{r^2+\delta^2} \).

See Also:

Example

Constructor Summary

Constructors

Constructor and Description
HardyMultiquadric(double delta) Creates a Hardy multiquadric basis function \(\sqrt{r^2+ \delta^2}\).

Method Summary

Modifier and Type	Method and Description
double	f(double x) A Hardy multiquadric basis function.
double	g(double x) The derivative of the Hardy multiquadric 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

HardyMultiquadric

public HardyMultiquadric(double delta)

Creates a Hardy multiquadric basis function \(\sqrt{r^2+ \delta^2}\).

Parameters:

delta - a double specifying the value of the function parameter. Increasing the multiquadric parameter decreases fitting-error but generally increases computational effort. The default value is 1.0.

Method Detail

f

public double f(double x)

A Hardy multiquadric 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 Hardy multiquadric 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