| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4630173 | Applied Mathematics and Computation | 2011 | 9 Pages |
Abstract
In this paper, we study the nonlinear matrix equation X+∑i=1mAi∗X-1Ai=I arising in some physical calculations. Some new necessary and sufficient conditions for the existence of positive definite solutions are given. Based on the matrix differentiation, a precise perturbation bound for the maximal positive definite solution is derived, and the new result is illustrated by a numerical example in the end.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xuefeng Duan, Chunmei Li, Anping Liao,