On the existence of a positive definite solution of the matrix equation X-A* (2m)root/X-1 A=I

Authors
El-Sayed, SM Ramadan, MA
Citation
Sm. El-sayed et Ma. Ramadan, On the existence of a positive definite solution of the matrix equation X-A* (2m)root/X-1 A=I, INT J COM M, 76(3), 2001, pp. 331-338
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN journal
00207160 → ACNP
Volume
76
Issue
3
Year of publication
2001
Pages
331 - 338
Database
ISI
SICI code
Abstract
In this paper, an efficient and numerically stable algorithm for computing the positive definite solution of the nonlinear equation X - A*(2m)rootX(-1 )A = I is proposed. Same properties of the solution are discussed as well a s the sufficient conditions for the existence are obtained. Numerical examp les are given to illustrate the accuracy of the proposed technique, which d epend on iterative process.