Package jline.api.mc

Class Dtmc_solve_reducible

java.lang.Object

jline.api.mc.Dtmc_solve_reducible

public final class Dtmc_solve_reducible
extends Object

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static final class	Dtmc_solve_reducible.DtmcSolveReducibleResult	Result class for DTMC solve reducible.

Method Summary

Modifier and Type	Method	Description
static Pair<Matrix,List<List<Integer>>>	dtmc_solve_reducible(Matrix P)
static Pair<Matrix,List<List<Integer>>>	dtmc_solve_reducible(Matrix P, Matrix pin)
static Pair<Matrix,List<List<Integer>>>	dtmc_solve_reducible(Matrix P, Matrix pin, Map<String,Object> options)	Estimate limiting distribution for a DTMC that may have reducible components.
static Dtmc_solve_reducible.DtmcSolveReducibleResult	dtmc_solve_reducible_full(Matrix P)
static Dtmc_solve_reducible.DtmcSolveReducibleResult	dtmc_solve_reducible_full(Matrix P, Matrix pin)
static Dtmc_solve_reducible.DtmcSolveReducibleResult	dtmc_solve_reducible_full(Matrix P, Matrix pin, Map<String,Object> options)	Full-output form of dtmc_solve_reducible.m: (pi, pis, pi0, scc, isrec, Pl, pil).

Methods inherited from class java.lang.Object

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

Method Details

dtmc_solve_reducible

public static Pair<Matrix,List<List<Integer>>> dtmc_solve_reducible(Matrix P,
 Matrix pin,
 Map<String,Object> options)

Estimate limiting distribution for a DTMC that may have reducible components.

Parameters:

P - DTMC transition matrix

pin - Initial vector (may be null)

options - Solution options including tolerance

Returns:

Pair of (limiting distribution, SCC information)

dtmc_solve_reducible

public static Pair<Matrix,List<List<Integer>>> dtmc_solve_reducible(Matrix P)

dtmc_solve_reducible

public static Pair<Matrix,List<List<Integer>>> dtmc_solve_reducible(Matrix P,
 Matrix pin)

dtmc_solve_reducible_full

public static Dtmc_solve_reducible.DtmcSolveReducibleResult dtmc_solve_reducible_full(Matrix P,
 Matrix pin,
 Map<String,Object> options)

Full-output form of dtmc_solve_reducible.m: (pi, pis, pi0, scc, isrec, Pl, pil). pis holds one row per SCC (the limiting distribution when the chain starts in that SCC), pi0 is the identity over the lumped chain, Pl the lumped stochastic matrix and pil = pi0 * PI its limiting matrix. For an irreducible chain pis = [pi], pi0 is empty, Pl = P and pil = pi.

dtmc_solve_reducible_full

public static Dtmc_solve_reducible.DtmcSolveReducibleResult dtmc_solve_reducible_full(Matrix P)

dtmc_solve_reducible_full

public static Dtmc_solve_reducible.DtmcSolveReducibleResult dtmc_solve_reducible_full(Matrix P,
 Matrix pin)