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

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Publicado en:Advances in Continuous and Discrete Models vol. 2025, no. 1 (Dec 2025), p. 120
Autor principal: Peng, Jingjing
Otros Autores: Yu, Siting, Peng, Zhenyun
Publicado:
Springer Nature B.V.
Materias:
Control theory
Iterative algorithms
Dynamic programming
Metric space
Algorithms
Basic converters
Iterative methods
Experiments
Acceso en línea:Citation/Abstract
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Resumen: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
Fuente:Advanced Technologies & Aerospace Database