On the Positive Definite Solutions of a Nonlinear Matrix Equation
Joint Authors
Li, Qingchun
Zhang, Shugong
Liu, Panpan
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-12
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The positive definite solutions of the nonlinear matrix equation Xs+A∗f(X)A=Q are discussed.
A necessary and sufficient condition for the existence of positive definite solutions for this equation is derived.
Then, the uniqueness of the Hermitian positive definite solution is studied based on an iterative method proposed in this paper.
Lastly the perturbation analysis for this equation is discussed.
American Psychological Association (APA)
Liu, Panpan& Zhang, Shugong& Li, Qingchun. 2013. On the Positive Definite Solutions of a Nonlinear Matrix Equation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-489720
Modern Language Association (MLA)
Liu, Panpan…[et al.]. On the Positive Definite Solutions of a Nonlinear Matrix Equation. Journal of Applied Mathematics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-489720
American Medical Association (AMA)
Liu, Panpan& Zhang, Shugong& Li, Qingchun. On the Positive Definite Solutions of a Nonlinear Matrix Equation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-489720
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489720
