On some improved harmonic mean Newton-like methods for solving systems of nonlinear equations

DOI10.3390/A8040895zbMath1461.65085OpenAlexW1721177227MaRDI QIDQ1736720

Kalyanasundaram Madhu, Diyashvir Kreetee Rajiv Babajee, Jayakumar Jayaraman

Publication date: 26 March 2019

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/a8040895

zbMATH Keywords

Newton's methodpoint of attractionorder of convergencesystem of nonlinear equation

Mathematics Subject Classification ID

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

Related Items (7)

Ball Convergence for a Multi-Step Harmonic Mean Newton-Like Method in Banach Space ⋮ Unnamed Item ⋮ An improvement to double-step Newton method and its multi-step version for solving system of nonlinear equations and its applications ⋮ Some higher order Newton-like methods for solving system of nonlinear equations and its applications ⋮ New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis ⋮ Unnamed Item ⋮ Efficient two-step fifth-order and its higher-order algorithms for solving nonlinear systems with applications

Cites Work

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• Some iterative methods for solving a system of nonlinear equations
• Investigations of nonstandard, Mickens-type, finite-difference schemes for singular boundary value problems in cylindrical or spherical coordinates
• A modified Newton-Jarratt's composition

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