org.jutil.math.matrix
Class ExplicitShiftQRSchurDecomposer

java.lang.Object
  |
  +--org.jutil.math.matrix.ExplicitShiftQRSchurDecomposer

All Implemented Interfaces:

SchurDecomposer

public class ExplicitShiftQRSchurDecomposer

extends java.lang.Object

implements SchurDecomposer

A class of schur decomposers using an explict shift

Field Summary
static java.lang.String	CVS_REVISION

 

Constructor Summary

ExplicitShiftQRSchurDecomposer(HessenbergReducer reducer)           Initialize a new ExplicitShiftQRSchurDecomposer with the given HessenbergReducer

ExplicitShiftQRSchurDecomposer(HessenbergReducer reducer, double epsilon)           Initialize a new ExplicitShiftQRSchurDecomposer with the given HessenbergReducer

 

Method Summary
SchurDecomposition	decompose(Matrix matrix)           See superclass
double	getEpsilon()           Return the precision with which the results must be computed.
HessenbergReducer	getHessenbergReducer()           Return the HessenbergReducer used by this ExplicitShiftQRSchurDecomposer to calculate Schur decompositions.

 

Methods inherited from class java.lang.Object

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

 

Field Detail

CVS_REVISION

public static final java.lang.String CVS_REVISION

ExplicitShiftQRSchurDecomposer

public ExplicitShiftQRSchurDecomposer(HessenbergReducer reducer)

Initialize a new ExplicitShiftQRSchurDecomposer with the given HessenbergReducer

Parameters:

reducer - The HessenbergReducer to be used by this ExplicitShiftQRSchurDecomposer.

Specifications:

public behavior
requires reducer != null;
ensures getHessenbergReducer() == reducer;
ensures getEpsilon() == 1.0E-16;

ExplicitShiftQRSchurDecomposer

public ExplicitShiftQRSchurDecomposer(HessenbergReducer reducer,
                                      double epsilon)

Initialize a new ExplicitShiftQRSchurDecomposer with the given HessenbergReducer

Parameters:

reducer - The HessenbergReducer to be used by this ExplicitShiftQRSchurDecomposer.

epsilon - The precision with which the results must be computed.

Specifications:

public behavior
requires reducer != null;
requires epsilon > 0;
ensures getHessenbergReducer() == reducer;
ensures getEpsilon() == epsilon;

getHessenbergReducer

public HessenbergReducer getHessenbergReducer()

Return the HessenbergReducer used by this ExplicitShiftQRSchurDecomposer to calculate Schur decompositions.

Specifications:

public behavior
ensures \result != null;

getEpsilon

public double getEpsilon()

Return the precision with which the results must be computed.

Specifications:

public behavior
ensures \result > 0;

decompose

public SchurDecomposition decompose(Matrix matrix)

See superclass

Specifications inherited from overridden method in interface SchurDecomposer:

public behavior
requires matrix != null;
requires matrix.isSquare();
ensures \result != null;
ensures (* \result.Q().times(\result.R()).equals(matrix) *);
ensures \result .Q().getNbRows() == matrix.getNbRows();