com.numericalmethod.suanshu.optimization.constrained.constraint.linear

Class LinearEqualityConstraints

java.lang.Object

com.numericalmethod.suanshu.optimization.constrained.constraint.linear.LinearConstraints

com.numericalmethod.suanshu.optimization.constrained.constraint.linear.LinearEqualityConstraints

All Implemented Interfaces:

Constraints, EqualityConstraints, java.io.Serializable

public class LinearEqualityConstraints
extends LinearConstraints
implements EqualityConstraints

This is a collection of linear equality constraints.

 A * x = b
 

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
LinearEqualityConstraints(Matrix A, Vector b) Construct a collection of linear equality constraints.

Method Summary

Modifier and Type	Method and Description
LinearEqualityConstraints	getReducedLinearEqualityConstraints() Get the collection of linearly independent linear constraints.
boolean	isReducible() Check if we can reduce the number of linear equalities.

Methods inherited from class com.numericalmethod.suanshu.optimization.constrained.constraint.linear.LinearConstraints

A, b, concat, dimension, getActiveConstraints, getActiveRows, getConstraints, size, toString

Methods inherited from class java.lang.Object

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

Methods inherited from interface com.numericalmethod.suanshu.optimization.constrained.constraint.Constraints

dimension, getConstraints, size

Constructor Detail

LinearEqualityConstraints

public LinearEqualityConstraints(Matrix A,
                                 Vector b)

Construct a collection of linear equality constraints.

Parameters:

A - the equality coefficients

b - the equality values

Method Detail

isReducible

public boolean isReducible()

Check if we can reduce the number of linear equalities. That is, they are linearly dependent.

Returns:

true if rank[A b] = rank[A], and rank[A] < #equalities

See Also:

"Section 10.2.2, p. 268- 270. Practical Optimization: Algorithms and Engineering Applications. Andreas Antoniou, Wu-Sheng Lu."

getReducedLinearEqualityConstraints

public LinearEqualityConstraints getReducedLinearEqualityConstraints()

Get the collection of linearly independent linear constraints.

Returns:

the collection of linearly independent linear constraints