QPProblemOnlyEqualityConstraints (NM DEV API (v1.2.4) by NM)

java.lang.Object
- dev.nm.analysis.function.rn2r1.AbstractRealScalarFunction
- - dev.nm.analysis.function.rn2r1.QuadraticFunction
  - - dev.nm.solver.multivariate.constrained.convex.sdp.socp.qp.problem.QPProblemOnlyEqualityConstraints

All Implemented Interfaces:

Function<Vector,Double>, RealScalarFunction
```
public class QPProblemOnlyEqualityConstraints
extends QuadraticFunction
```
A quadratic programming problem with only equality constraints can be converted into a equivalent quadratic programming problem without constraints, hence a mere quadratic function.

Nested Class Summary
- Nested classes/interfaces inherited from interface dev.nm.analysis.function.Function
  Function.EvaluationException

Constructor Summary

Constructors
Constructor	Description
`QPProblemOnlyEqualityConstraints(QuadraticFunction f, LinearEqualityConstraints equal)`	Construct a quadratic programming problem with only equality constraints.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`Matrix`	`getAplus()`
`ImmutableVector`	`getSolutionToOriginalProblem(Vector phi)`	Backs out the solution for the original (constrained) problem, if the modified (unconstrained) problem can be solved.
`Matrix`	`getVr()`

Methods inherited from class dev.nm.analysis.function.rn2r1.QuadraticFunction
evaluate, Hessian, p, toString

Methods inherited from class dev.nm.analysis.function.rn2r1.AbstractRealScalarFunction
dimensionOfDomain, dimensionOfRange

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

- Constructor Detail
  - QPProblemOnlyEqualityConstraints
```
public QPProblemOnlyEqualityConstraints(QuadraticFunction f,
                                        LinearEqualityConstraints equal)
```
    Construct a quadratic programming problem with only equality constraints.
    
    Parameters:
    
    f - the quadratic objective function to be minimized
    
    equal - the linear equality constraints
- Method Detail
  - getSolutionToOriginalProblem
```
public ImmutableVector getSolutionToOriginalProblem(Vector phi)
```
    Backs out the solution for the original (constrained) problem, if the modified (unconstrained) problem can be solved.
    
    Parameters:
    
    phi - the solution to the modified (unconstrained) problem
    
    Returns:
    
    the solution to the original (constrained) problem, if the modified (unconstrained) problem can be solved
    
    See Also:
    
    "eq. 13.4a"
  - getAplus
```
public Matrix getAplus()
```
    Returns:
    
    matrix Aplus in eq. 13.2
  - getVr
```
public Matrix getVr()
```
    Returns:
    
    matrix Vr in eq. 13.2