# Numerical Method for a Class of Algebraic Riccati Equations

@article{Li2020NumericalMF, title={Numerical Method for a Class of Algebraic Riccati Equations}, author={Lu Li and Xizhi Su}, journal={ArXiv}, year={2020}, volume={abs/2011.00047} }

We study an iteration approach to solve the coupled algebraic Riccati equations when they appear in general two player closed-loop type Nash differential games over an infinite time horizon. Also, we propose an effective algorithm for finding positive definite solutions. In particular, we present various numerical examples connected with matrix Riccati equations according to different dimensions.

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