Abstract
Conditions for the existence of solutions of nonlinear matrix equations have been found and a method of their construction has been proposed. As an example of the iterative scheme construction, approximations for the solutions of the nonlinear algebraic matrix Riccati equation and their accuracy errors were determined.
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 19, No. 4, pp. 462–477, October–December, 2022.
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Chuiko, S.M., Shevtsova, K.S. Solvability conditions for nonlinear matrix equations. J Math Sci 270, 407–419 (2023). https://doi.org/10.1007/s10958-023-06354-9
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DOI: https://doi.org/10.1007/s10958-023-06354-9