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Journal of Applied Mathematics and Computing

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26.10.2020 | Original Research

Solving two generalized nonlinear matrix equations

verfasst von: Peter Chang-Yi Weng

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2021

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Abstract

In this paper, we consider the numerical solutions of two generalized nonlinear matrix equations. Newton’s method is applied to compute one of the generalized nonlinear matrix equations and a generalized Stein equation is obtained, then we adapt the generalized Smith method to find the maximal Hermitian positive definite solution. Furthermore, we consider the properties of the solution for the generalized nonlinear matrix equation. Newton’s method is also applied to the other generalized nonlinear matrix equation to find the minimal Hermitian positive definite solution. Finally, two numerical examples are presented to illustrate the effectiveness of the theoretical results and the convergence behaviour of the considered methods for two generalized nonlinear matrix equations, respectively.

Vorheriger Artikel Approximate solution of singular IVPs of Lane–Emden type and error estimation via advanced Adomian decomposition method

Nächster Artikel Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative

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Titel: Solving two generalized nonlinear matrix equations
verfasst von: Peter Chang-Yi Weng
Publikationsdatum: 26.10.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2021
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01448-y

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