dev.nm.solver.multivariate.constrained.general.penaltymethod

Class CourantPenalty

java.lang.Object

dev.nm.solver.multivariate.constrained.general.penaltymethod.PenaltyFunction

dev.nm.solver.multivariate.constrained.general.penaltymethod.MultiplierPenalty

dev.nm.solver.multivariate.constrained.general.penaltymethod.CourantPenalty

All Implemented Interfaces:

Function<Vector,Double>, RealScalarFunction

public class CourantPenalty
extends MultiplierPenalty

This penalty function sums up the squared error penalties. It applies to equality constrained problems.

See Also:

"R. CourantPenalty, "Variational methods for the solution of problems of equilibrium and vibration," Bull. Amer. Math. Soc., 49, 1- 23. 1943."

Nested Class Summary

Nested classes/interfaces inherited from interface dev.nm.analysis.function.Function

Function.EvaluationException

Field Summary

Fields inherited from class dev.nm.solver.multivariate.constrained.general.penaltymethod.MultiplierPenalty

constraints, weights

Constructor Summary

Constructors

Constructor and Description
CourantPenalty(EqualityConstraints constraints) Construct a CourantPenalty penalty function from a collection of equality constraints.
CourantPenalty(EqualityConstraints constraints, double weight) Construct a CourantPenalty penalty function from a collection of equality constraints.
CourantPenalty(EqualityConstraints constraints, double[] weights) Construct a CourantPenalty penalty function from a collection of equality constraints.

Method Summary

Modifier and Type	Method and Description
Double	evaluate(Vector x) Evaluate the function f at x, where x is from the domain.

Methods inherited from class dev.nm.solver.multivariate.constrained.general.penaltymethod.MultiplierPenalty

dimensionOfDomain

Methods inherited from class dev.nm.solver.multivariate.constrained.general.penaltymethod.PenaltyFunction

dimensionOfRange

Methods inherited from class java.lang.Object

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

Constructor Detail

CourantPenalty

public CourantPenalty(EqualityConstraints constraints,
                      double[] weights)

Construct a CourantPenalty penalty function from a collection of equality constraints.

Parameters:

constraints - a collection of equality constraints

weights - the weights assigned to the constraints

CourantPenalty

public CourantPenalty(EqualityConstraints constraints,
                      double weight)

Construct a CourantPenalty penalty function from a collection of equality constraints. We assign the same weight to all constraints.

Parameters:

constraints - a collection of equality constraints

weight - the same weight assigned to the constraints

CourantPenalty

public CourantPenalty(EqualityConstraints constraints)

Construct a CourantPenalty penalty function from a collection of equality constraints. We assign the same default weight to all constraints.

Parameters:

constraints - a collection of equality constraints

Method Detail

evaluate

public Double evaluate(Vector x)

Description copied from interface: Function

Evaluate the function f at x, where x is from the domain.

Parameters:

x - x

Returns:

f(x)