@Article{JCM-18-3,
author = {Xue, Jun-Gong and Wei-Guo, Gao},
title = {Blockwise Perturbation Theory for 2x2 Block Markov Chains},
journal = {Journal of Computational Mathematics},
year = {2000},
volume = {18},
number = {3},
pages = {305--312},
abstract = {<p style="text-align: justify;">Let P be a transition matrix of a Markov chain and be of the form $$P=\Bigg( \begin{matrix} P_{11} &amp;P_{12} \\&nbsp;P_{21} &amp;P_{22}&nbsp; \end{matrix} \Bigg).$$ The stationary distribution $π^T$ is partitioned conformally in the form $(π^T_1, π^T_2)$. This paper establish the relative error bound in $π^T_i (i=1,2)$ when each block $P_{ij}$ get a small relative perturbation.</p>},
issn = {1991-7139},
doi = {https://doi.org/2000-JCM-9044},
url = {https://global-sci.com/article/85554/blockwise-perturbation-theory-for-2x2-block-markov-chains}
}