Some modifications of Newton's method for solving systems of equations

DOI10.26516/1997-7670.2018.26.91zbMath1409.65035OpenAlexW2904877298WikidataQ128707958 ScholiaQ128707958MaRDI QIDQ1717126

Vladimir Andreevich Srochko

Publication date: 7 February 2019

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1284

zbMATH Keywords

modificationsnonlinear system of equationsNewton's method with parameter

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Cites Work

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• New family of iterative methods based on the Ermakov-Kalitkin scheme for solving nonlinear systems of equations
• Three-point methods with and without memory for solving nonlinear equations
• Numerical experience with Newton-like methods for nonlinear algebraic systems
• Variants of Newton's method using fifth-order quadrature formulas
• The optimal step and regularization for Newton's method
• Modified Gauss–Newton scheme with worst case guarantees for global performance

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