Gursoy, BB;Kirkland, S;Mason, O;Sergeev, S

2015

March

Linear Algebra and Its Applications

The Markov Chain Tree Theorem in commutative semirings and the State Reduction Algorithm in commutative semifields

Published

0 ()

EXTENSION ALGEBRA GRAPH

468

184

196

We extend the Markov Chain Tree Theorem to general commutative semirings, and we generalize the State Reduction Algorithm to general commutative semifields. This leads to a new universal algorithm, whose prototype is the State Reduction Algorithm which computes the Markov chain tree vector of a stochastic matrix. (C) 2014 The Authors. Published by Elsevier Inc.

NEW YORK

0024-3795

10.1016/j.laa.2014.06.028