Title
The inversion-free iterative methods for a system of nonlinear matrix equations.
Abstract
In this paper, we consider the positive-definite solution to a system of nonlinear matrix equations, and , where are two positive constants and are given matrices. We proposed two inversion-free iterative algorithms for obtaining the maximal positive-definite solution of the system. And we prove that the sequences generated by the iterative schemes are monotonically increasing and bounded above. Finally, some numerical examples are given to show the behaviour of the considered algorithms.
Year
DOI
Venue
2016
10.1155/2013/843785
Abstract and Applied Analysis
Field
DocType
Volume
Monotonic function,Mathematical optimization,Nonlinear system,Mathematical analysis,Matrix (mathematics),Iterative method,Relaxation (iterative method),Local convergence,Mathematics,Matrix splitting,Matrix-free methods
Journal
93
Issue
ISSN
Citations 
9
1085-3375
1
PageRank 
References 
Authors
0.35
9
3
Name
Order
Citations
PageRank
Na Huang181.15
Changfeng Ma219729.63
Jia Tang3694.41