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On positive definite solution of a nonlinear matrix equation

✍ Scribed by Zhen-yun Peng; Salah M. El-Sayed

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 148 KB
Volume: 14
Category: Article
ISSN: 1070-5325
DOI: 10.1002/nla.510

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✦ Synopsis

Abstract

In this paper, some necessary and sufficient conditions for the existence of the positive definite solutions for the matrix equation X + A^*^X^−α^A = Q with α ∈ (0, ∞) are given. Iterative methods to obtain the positive definite solutions are established and the rates of convergence of the considered methods are obtained. Copyright © 2006 John Wiley & Sons, Ltd.

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