The application of Newton's method in vector form for solving nonlinear scalar equations where the classical Newton method fails

DOI10.1016/j.cam.2014.07.028zbMath1297.65054OpenAlexW2011471288MaRDI QIDQ457725

Higinio Ramos, Jesus Vigo Aguiar

Publication date: 29 September 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.07.028

zbMATH Keywords

approximate solutionsNewton methodnonlinear equationsiteration functioncycles of period two

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical computation of solutions to single equations (65H05)

Related Items (8)

Unnamed Item ⋮ Third Order Root-Finding Methods based on a Generalization of Gander's Result ⋮ Editorial: Recent trends on computational and mathematical methods in science and engineering (CMMSE) ⋮ A new approach based on the Newton's method to solve systems of nonlinear equations ⋮ Improving the domain of parameters for Newton's method with applications ⋮ A simple algorithm for high order Newton iteration formulae and some new variants ⋮ Some variants of Halley's method with memory and their applications for solving several chemical problems ⋮ The W4 method: a new multi-dimensional root-finding scheme for nonlinear systems of equations

Uses Software

• NewtonLib

Cites Work

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• A first course in discrete dynamical systems
• Newton Methods for Nonlinear Problems
• Fooling Newton's Method as Much as One Can
• Convergence and Applications of Newton-type Iterations
• No Fooling! Newton's Method Can Be Fooled
• Solving Nonlinear Equations with Newton's Method

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