A semi-local convergence theorem for a robust revised Newton's method

DOI10.1016/j.camwa.2009.05.022zbMath1189.65096OpenAlexW2012991310MaRDI QIDQ979896

Zhengyu Wang, Xin-Yuan Wu

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.05.022

zbMATH Keywords

convergence analysisnonlinear equationsNewton-Kantorovich theoremconvergence domainrevised Newton's method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (2)

A short survey on Kantorovich ⋮ Expanding the applicability of Newton’s method and of a robust modified Newton’s method

Cites Work

• Derived eigenvalues of symmetric matrices, with applications to distance geometry
• On a class of quadratic convergence iteration formulae without derivatives
• A new continuation Newton-like method and its deformation
• New high-order convergence iteration methods without employing derivatives for solving nonlinear equations
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