The Inversion-Free Iterative Methods for Solving the Nonlinear Matrix Equation X+AHX-1A+BHX-1B=I
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-03
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We present two inversion-free iterative methods for computing the maximal positive definite solution of the equation X+AHX-1A+BHX-1B=I.
We prove that the sequences generated by the two iterative schemes are monotonically increasing and bounded above.
We also present some numerical results to compare our proposed methods with some previously developed inversion-free techniques for solving the same matrix equation.
American Psychological Association (APA)
Huang, Na& Ma, Changfeng. 2013. The Inversion-Free Iterative Methods for Solving the Nonlinear Matrix Equation X+AHX-1A+BHX-1B=I. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-502746
Modern Language Association (MLA)
Huang, Na& Ma, Changfeng. The Inversion-Free Iterative Methods for Solving the Nonlinear Matrix Equation X+AHX-1A+BHX-1B=I. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-502746
American Medical Association (AMA)
Huang, Na& Ma, Changfeng. The Inversion-Free Iterative Methods for Solving the Nonlinear Matrix Equation X+AHX-1A+BHX-1B=I. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-502746
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502746
