Package jline.lib.butools.mam

Class MG1FundamentalMatrix

java.lang.Object

jline.lib.butools.mam.MG1FundamentalMatrix

public final class MG1FundamentalMatrix
extends Object

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static enum	MG1FundamentalMatrix.MG1Method	Method for solving M/G/1 type matrix equation.

Method Summary

Modifier and Type	Method	Description
static Matrix	mg1FundamentalMatrix(List<Matrix> A)
static Matrix	mg1FundamentalMatrix(List<Matrix> A, double precision)
static Matrix	mg1FundamentalMatrix(List<Matrix> A, double precision, int maxNumIt)
static Matrix	mg1FundamentalMatrix(List<Matrix> A, double precision, int maxNumIt, MG1FundamentalMatrix.MG1Method method)	Returns matrix G corresponding to the M/G/1 type Markov chain defined by matrices A.

Methods inherited from class java.lang.Object

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

Method Details

mg1FundamentalMatrix

public static Matrix mg1FundamentalMatrix(List<Matrix> A,
 double precision,
 int maxNumIt,
 MG1FundamentalMatrix.MG1Method method)

Returns matrix G corresponding to the M/G/1 type Markov chain defined by matrices A. Matrix G is the minimal non-negative solution of the following matrix equation: G = A_0 + A_1*G + A_2*G^2 + A_3*G^3 + ...

Parameters:

A - List of matrix blocks of the M/G/1 type generator from 0 to M-1.

precision - Matrix G is computed iteratively up to this precision

maxNumIt - The maximal number of iterations

method - The method used to solve the matrix-quadratic equation

Returns:

The G matrix of the M/G/1 type Markov chain (G is stochastic)

mg1FundamentalMatrix

public static Matrix mg1FundamentalMatrix(List<Matrix> A)

mg1FundamentalMatrix

public static Matrix mg1FundamentalMatrix(List<Matrix> A,
 double precision)

mg1FundamentalMatrix

public static Matrix mg1FundamentalMatrix(List<Matrix> A,
 double precision,
 int maxNumIt)