com.numericalmethod.suanshu.optimization.constrained.general.penaltymethod
Class PenaltyFunction

java.lang.Object
  com.numericalmethod.suanshu.optimization.constrained.general.penaltymethod.PenaltyFunction

All Implemented Interfaces:

Function, RealScalarFunction

Direct Known Subclasses:

MultiplierPenalty, SumOfPenalties, ZERO

public abstract class PenaltyFunction
extends java.lang.Object
implements RealScalarFunction

A function P: Rⁿ -> R is a penalty function for a constrained optimization problem if it has these properties.

P is continuous; P(x) ≥ 0; P(x) = 0 iff x is feasible; i.e., all constraints are satisfied

See Also:

"Edwin K. P. Chong, Stanislaw H. Zak. "Definition 22.1. Chapter 22. Algorithms for Constrained Optimization," An Introduction to Optimization. Wiley-Interscience. 2001."

Nested Class Summary

Nested classes/interfaces inherited from interface com.numericalmethod.suanshu.analysis.function.Function

Function.EvaluationException

Field Summary

int	dimensionality dimensionality of the problem to be solved This is the number of free variables.

Constructor Summary

PenaltyFunction(int dimensionality)
Construct a PenaltyFunction.

Method Summary

int	dimension4Domain() Get the number of variables of the function.
int	dimension4Range() Get the dimension of the range space the function.

Methods inherited from class java.lang.Object

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

Methods inherited from interface com.numericalmethod.suanshu.analysis.function.rn2r1.RealScalarFunction

evaluate

Field Detail

dimensionality

public final int dimensionality

dimensionality of the problem to be solved

This is the number of free variables.

Constructor Detail

PenaltyFunction

public PenaltyFunction(int dimensionality)

Construct a PenaltyFunction.

Parameters:

dimensionality - dimensionality of the problem to be solved

Method Detail

dimension4Domain

public int dimension4Domain()

Description copied from interface: Function

Get the number of variables of the function.

For example, for a univariate function, the domain dimension is 1. For a bivariate function, the domain dimension is 2.

Specified by:

dimension4Domain in interface Function

Returns:

the number of variables

dimension4Range

public int dimension4Range()

Description copied from interface: Function

Get the dimension of the range space the function.

For example, for a Rn->Rm function, the dimension of the range is m.

Specified by:

dimension4Range in interface Function

Returns:

the dimension of the range