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A New Inversion-free Iterative Method for Solving the Nonlinear Matrix Equation and Its Application in Optimal Control

GAO Xiangyu XIE Weiwei ZHANG Lina

应用数学2026，Vol.39Issue(1)：P.143-150,8.

A New Inversion-free Iterative Method for Solving the Nonlinear Matrix Equation and Its Application in Optimal Control

GAO Xiangyu ¹XIE Weiwei ¹ZHANG Lina²

作者信息

1. School of Mathematics and Statistics,Guangxi Normal University,Guilin 541004,China
2. Teaching Affairs Office,Guangxi Normal University,Guilin 541004,China
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摘要

关键词

Nonlinear matrix equation/Maximal positive definite solution/Inversion-free iterative method/Optimal control

分类

数理科学

引用本文复制引用

GAO Xiangyu,XIE Weiwei,ZHANG Lina..A New Inversion-free Iterative Method for Solving the Nonlinear Matrix Equation and Its Application in Optimal Control[J].应用数学,2026,39(1):P.143-150,8.

基金项目

Supported in part by Natural Science Foundation of Guangxi(2023GXNSFAA026246) （2023GXNSFAA026246）

in part by the Central Government''s Guide to Local Science and Technology Development Fund(GuikeZY23055044) （GuikeZY23055044）

in part by the National Natural Science Foundation of China(62363003)。（62363003）

应用数学

ISSN：1001-9847

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