@Article{EAJAM-2-277,
author = {J. Ding and N. H. Rhee},
title = {A Nontrivial Solution to a Stochastic Matrix Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {2},
number = {4},
pages = {277--284},
abstract = {<p style="text-align: justify;">If A is a nonsingular matrix such that its inverse is a stochastic matrix, the
classic Brouwer fixed point theorem implies that the matrix equation AXA = XAX has
a nontrivial solution. An explicit expression of this nontrivial solution is found via
the mean ergodic theorem, and fixed point iteration is considered to find a nontrivial
solution.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.150512.231012a},
url = {http://global-sci.org/intro/article_detail/eajam/10877.html}
}