On the perturbation estimates of the maximal solution for the matrix equation X + A T √ X −1 A = P - Egyptian Knowledge Bank

387520

On the perturbation estimates of the maximal solution for the matrix equation X + A T √ X −1 A = P

Article

Last updated: 31 Dec 2024

Subjects

Abstract

In this paper we investigate the nonlinear matrix equation X + A T
√
X −1 A = P, for the
existence of positive definite solutions. Bounds for X −1L
and X −1 are derived where X L is the
maximal solution and X is any other positive definite solution of this matrix equation. A perturbation
estimate for the maximal solution and an error bound for approximate solutions are derived. A
numerical example is given to illustrate the reliability of the obtained results.

DOI

10.1016/j.joems.2016.04.004

Keywords

Nonlinear matrix equation, Maximal positive solution, Iteration, Perturbation bound

Authors

View Authors

First Name

Naglaa

Last Name

El-Shazly

MiddleName

Affiliation

Department of Mathematics, Faculty of Science, Menoufia University, Shebin El-Koom, Egypt

Email

City

Orcid

Volume

Article Issue

Related Issue

51066

Issue Date

2016-12-01

Receive Date

2024-10-22

Publish Date

2016-12-01

Page Start

644

Page End

649

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 4_Pages 644-649.pdf

PDF . 372.0kB

Link

https://joems.journals.ekb.eg/article_387520.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387520

Order

387,520

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle