Package jline.lib.butools.reptrans

Class TransformToAcyclic

java.lang.Object

jline.lib.butools.reptrans.TransformToAcyclic

public final class TransformToAcyclic
extends Object

Method Summary

Modifier and Type	Method	Description
static Matrix	transformToAcyclic(Matrix A)
static Matrix	transformToAcyclic(Matrix A, int maxSize)
static Matrix	transformToAcyclic(Matrix A, int maxSize, double precision)	Transforms an arbitrary matrix to a Markovian bi-diagonal matrix.

Methods inherited from class java.lang.Object

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

Method Details

transformToAcyclic

public static Matrix transformToAcyclic(Matrix A,
 int maxSize,
 double precision)

Transforms an arbitrary matrix to a Markovian bi-diagonal matrix.

Parameters:

A - Matrix parameter of the initial representation (shape N,N)

maxSize - The maximal order of the resulting Markovian representation (default 100)

precision - Matrix entries smaller than the precision are considered to be zeros (default 1e-14)

Returns:

Transient (bi-diagonal) generator matrix of the Markovian acyclic representation. Note: Calls the 'transformToMonocyclic' procedure if all the eigenvalues are real, otherwise it raises an error if no Markovian acyclic generator has been found.

Throws:

IllegalArgumentException - if complex eigenvalues are found (no acyclic representation exists).

transformToAcyclic

public static Matrix transformToAcyclic(Matrix A,
 int maxSize)

transformToAcyclic

public static Matrix transformToAcyclic(Matrix A)