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On the Iterative Method for the System of Nonlinear Matrix Equations
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The positive definite solutions for the system of nonlinear matrix equations X+A∗Y−nA=I, Y+B∗X−mB=I are considered, where n, m are two positive integers and A, B are nonsingular complex matrices.
Some sufficient conditions for the existence of positive definite solutions for the system are derived.
Under some conditions, an iterative algorithm for computing the positive definite solutions for the system is proposed.
Also, the estimation of the error is obtained.
Finally, some numerical examples are given to show the efficiency of the proposed iterative algorithm.
American Psychological Association (APA)
al-Dubiban, Asmaa M.. 2013. On the Iterative Method for the System of Nonlinear Matrix Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-490484
Modern Language Association (MLA)
al-Dubiban, Asmaa M.. On the Iterative Method for the System of Nonlinear Matrix Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-490484
American Medical Association (AMA)
al-Dubiban, Asmaa M.. On the Iterative Method for the System of Nonlinear Matrix Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-490484
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490484