Notes on the Hermitian Positive Definite Solutions of a Matrix Equation
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-06
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The nonlinear matrix equation, X-∑i=1mAi*XδiAi=Q, with -1≤δi<0 is investigated.
A fixed point theorem in partially ordered sets is proved.
And then, by means of this fixed point theorem, the existence of a unique Hermitian positive definite solution for the matrix equation is derived.
Some properties of the unique Hermitian positive definite solution are obtained.
A residual bound of an approximate solution to the equation is evaluated.
The theoretical results are illustrated by numerical examples.
American Psychological Association (APA)
Li, Jing& Zhang, Yuhai. 2014. Notes on the Hermitian Positive Definite Solutions of a Matrix Equation. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-447877
Modern Language Association (MLA)
Li, Jing& Zhang, Yuhai. Notes on the Hermitian Positive Definite Solutions of a Matrix Equation. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-447877
American Medical Association (AMA)
Li, Jing& Zhang, Yuhai. Notes on the Hermitian Positive Definite Solutions of a Matrix Equation. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-447877
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447877
