@article{Ivanov_Ivelin G. Ivanov_2023, title={Computation of the Stabilizing Solution of Nash-Riccati Equations}, volume={4}, url={https://journal.esj.edu.iq/index.php/IJCM/article/view/527}, DOI={10.52866/ijcsm.2023.02.02.014}, abstractNote={<p>Consider an iterative modification of the linearized Newton method for computing the minimal nonnegative solution of a<br>a nonsymmetric Nash-Riccati equation. The equation has arisen in linear quadratic<br>games for positive systems. The Newton procedure for computing the minimal nonnegative solution is well known in the<br>the literature. Our proposal is effective one because it employs small number of matrix multiplication at each iteration step and there is a variant to exploit the block structure of matrix coefficients of the Nash-Riccati equation. Moreover, in this reason, it is easy to extend the proposed iterative modification depending on the number of players of a given game model. We provide a numerical example where compare the results from experiment with the proposed iteration an the linearized Newton method.</p>}, number={2}, journal={Iraqi Journal For Computer Science and Mathematics}, author={Ivanov, Ivan and Ivelin G. Ivanov}, year={2023}, month={Apr.}, pages={166–170} }