A numerical method for solving systems of nonlinear equations

DOI10.1134/S0965542515110020zbMath1336.65087OpenAlexW2175424061MaRDI QIDQ267549

A. A. Abramov, L. F. Yukhno

Publication date: 8 April 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515110020

zbMATH Keywords

Newton's methodsystem of nonlinear equationsauxiliary differential equationHadamard existence theorem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (5)

On the existence of solutions of nonlinear equations ⋮ Nonlocal generalized implicit function theorems in Hilbert spaces ⋮ On global solvability of nonlinear equations with parameters ⋮ Search for periodic solutions of highly nonlinear dynamical systems ⋮ Global and semilocal theorems on implicit and inverse functions in Banach spaces

Cites Work

• Numerical solution of the Cauchy problem for the Painlevé I and II equations
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