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

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Publicat a:Advances in Continuous and Discrete Models vol. 2025, no. 1 (Dec 2025), p. 120
Autor principal: Peng, Jingjing
Altres autors: Yu, Siting, Peng, Zhenyun
Publicat:
Springer Nature B.V.
Matèries:
Control theory
Iterative algorithms
Dynamic programming
Metric space
Algorithms
Basic converters
Iterative methods
Experiments
Accés en línia:Citation/Abstract
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100 1 |a Peng, Jingjing  |u Guilin University of Electronic Technology, Guilin, P.R. China (GRID:grid.440723.6) (ISNI:0000 0001 0807 124X) 
245 1 |a Fixed-point accelerated iterative method for solving a nonlinear matrix equation 
260 |b Springer Nature B.V.  |c Dec 2025 
513 |a Journal Article 
520 3 |a 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. 
653 |a Control theory 
653 |a Iterative algorithms 
653 |a Dynamic programming 
653 |a Metric space 
653 |a Algorithms 
653 |a Basic converters 
653 |a Iterative methods 
653 |a Experiments 
700 1 |a Yu, Siting  |u Guilin University of Electronic Technology, Guilin, P.R. China (GRID:grid.440723.6) (ISNI:0000 0001 0807 124X) 
700 1 |a Peng, Zhenyun  |u Guilin University of Electronic Technology, Guilin, P.R. China (GRID:grid.440723.6) (ISNI:0000 0001 0807 124X) 
773 0 |t Advances in Continuous and Discrete Models  |g vol. 2025, no. 1 (Dec 2025), p. 120 
786 0 |d ProQuest  |t Advanced Technologies & Aerospace Database 
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