nonlinear matrix equations;
power series matrix equations;
quadratic matrix equations;
matrix pth root;
toeplitz matrices;
Markov chains;
queueing problems;
D O I:
10.1016/j.laa.2005.06.011
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Different kinds of nonlinear matrix equations are analyzed and their interplay with certain structured matrices is pointed out. By using the point of view and the tools of structured linear algebra, both theoretical results and numerical methods are derived for solving different classes of nonlinear matrix equations. (c) 2005 Elsevier Inc. All rights reserved.