@Article{JCM-23-305,
author = {Xiao-Xia Guo and Zhong-Zhi Bai},
title = {On the Minimal Nonnegative Solution of Nonsymmetric Algebraic Riccati Equation},
journal = {Journal of Computational Mathematics},
year = {2005},
volume = {23},
number = {3},
pages = {305--320},
abstract = {<p style="text-align: justify;">We study perturbation bound and structured condition number about the minimal nonnegative solution of nonsymmetric algebraic Riccati equation, obtaining a sharp perturbation bound and an accurate condition number. By using the matrix sign function method we present a new method for finding the minimal nonnegative solution of this algebraic Riccati equation. Based on this new method, we show how to compute the desired $M$-matrix solution of the quadratic matrix equation $X^2-EX-F=0$ by connecting it with the nonsymmetric algebraic Riccati equation, where $E$ is a diagonal matrix and $F$ is an $M$-matrix.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8817.html}
}