Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631923 | Applied Mathematics and Computation | 2010 | 6 Pages |
Abstract
In this paper, we study the matrix equation X+∑i=1mAi∗X-1Ai=I, where Ai (i = 1, 2, …, m) is square matrices, and obtain some conditions for the existence of positive definite solution of this equation. Two iterative algorithms to find the maximal positive definite solution are given. Some numerical results are reported to illustrate the effectiveness of the algorithms.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
You-mei He, Jian-hui Long,