@Article{EAJAM-2-4, author = {}, title = {A Nontrivial Solution to a Stochastic Matrix Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2012}, volume = {2}, number = {4}, pages = {277--284}, abstract = {
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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.150512.231012a}, url = {https://global-sci.com/article/82850/a-nontrivial-solution-to-a-stochastic-matrix-equation} }