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Fixed-point accelerated iterative method for solving a nonlinear matrix equation

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Argitaratua izan da:Advances in Continuous and Discrete Models vol. 2025, no. 1 (Dec 2025), p. 120
Egile nagusia: Peng, Jingjing
Beste egile batzuk: Yu, Siting, Peng, Zhenyun
Argitaratua:
Springer Nature B.V.
Gaiak:
Control theory
Iterative algorithms
Dynamic programming
Metric space
Algorithms
Basic converters
Iterative methods
Experiments
Sarrera elektronikoa:Citation/Abstract
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Laburpena:Nonlinear matrix equations Xp=A+∑i=1mMi∗(B+X−1)−1Mi<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="13662_2025_3977_Article_IEq1.gif" /> have extensive applications in control theory, ladder networks, dynamic programming, and stochastic filtering. In this paper a fixed-point acceleration iteration algorithm is proposed and, based on the basic characteristics of the Thompson metric space, the convergence and error estimator of the proposed algorithm are proved. Numerical comparison experiments show that the proposed algorithm is feasible and effective.
ISSN:1687-1839
1687-1847
DOI:10.1186/s13662-025-03977-x
Baliabidea:Advanced Technologies & Aerospace Database