The convergence of the perturbed Newton method and its application for ill-conditioned problems

DOI10.1016/J.AMC.2011.08.019zbMath1255.65095OpenAlexW2026191987MaRDI QIDQ426284

Vicente F. Candela, Rosa M. Peris, Antonio Marquina

Publication date: 11 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.019

zbMATH Keywords

algorithmconvergencenumerical exampleNewton methodnonlinear equationsill-posed problemsmultiple or almost multiple rootsperturbed Newton method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

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The rate of multiplicity of the roots of nonlinear equations and its application to iterative methods ⋮ AN EFFECTIVE SHOOTING PIECEWISE ANALYTICAL INTEGRATION METHOD FOR SINGULAR PERTURBATION TWO-POINT BOUNDARY VALUE PROBLEMS ⋮ The convergence of the perturbed Newton method and its application for ill-conditioned problems ⋮ Adaptive backstepping control of wheeled inverted pendulums models ⋮ Iterative methods for ill-conditioned roots ⋮ The emergence of localized vortex–wave interaction states in plane Couette flow ⋮ A class of third order iterative Kurchatov-Steffensen (derivative free) methods for solving nonlinear equations

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