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- Title
Solvability conditions for nonlinear matrix equations.
- Authors
Chuiko, Sergii M.; Shevtsova, Kateryna S.
- 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.
- Subjects
NONLINEAR equations; KANTOROVICH method; DECOMPOSITION method; RICCATI equation
- Publication
Journal of Mathematical Sciences, 2023, Vol 270, Issue 3, p407
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06354-9