Iterative Algorithm for Solving a System of Nonlinear Matrix Equations
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We discuss the positive definite solutions for the system of nonlinear matrix equations X−A∗Y−nA=I and Y−B∗X−mB=I, where n, m are two positive integers.
Some properties of solutions are studied, and the necessary and sufficient conditions for the existence of positive definite solutions are given.
An iterative algorithm for obtaining positive definite solutions of the system is proposed.
Moreover, the error estimations are found.
Finally, some numerical examples are given to show the efficiency of the proposed iterative algorithm.
American Psychological Association (APA)
al-Dubiban, Asmaa M.. 2012. Iterative Algorithm for Solving a System of Nonlinear Matrix Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993272
Modern Language Association (MLA)
al-Dubiban, Asmaa M.. Iterative Algorithm for Solving a System of Nonlinear Matrix Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-993272
American Medical Association (AMA)
al-Dubiban, Asmaa M.. Iterative Algorithm for Solving a System of Nonlinear Matrix Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993272
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993272