| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9498280 | Linear Algebra and its Applications | 2005 | 8 Pages |
Abstract
The present paper treats iterative methods for a class of nonlinear matrix equations X + AâXâαA = I, with two cases: α ⩾ 1 and 0 < α < 1. Here, the matrix A is nonsingular. We will derive the necessary and sufficient conditions for the existence of positive definite solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Salah M. El-Sayed, Milko G. Petkov,