Affiliation:
1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, TN, India
Abstract
In this work, the following system of nonlinear matrix equations is considered,
where
are arbitrary
matrices and
is the identity matrix of order
. Some conditions for the existence of a positive-definite solution as well as the convergence analysis of the newly developed algorithm for finding the maximal positive-definite solution and its convergence rate are discussed. Four examples are also provided herein to support our results.
Funder
Science and Engineering Research Board
Cited by
4 articles.
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