Latest Inversion-Free Iterative Scheme for Solving a Pair of Nonlinear Matrix Equations

In this work, the following system of nonlinear matrix equations is considered, X1+A∗X1−1A+B∗X2−1B=I and X2+C∗X2−1C+D∗X1−1D=I, where A,B,C, and D are arbitrary n×n matrices and I is the identity matrix of order n. Some conditions for the existence of a positive-definite solution as well as the conve...

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Bibliographic Details
Main Authors: Sourav Shil, Hemant Kumar Nashine
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/2667885
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