RadialBasis.Gaussian (JMSL Numerical Library)

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JMSL^TM Numerical Library 6.1

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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
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