The cubic semilocal convergence on two variants of Newton's method

DOI10.1016/j.cam.2007.09.003zbMath1146.65045OpenAlexW2005075926MaRDI QIDQ939551

Rongxia Bai, Quan Zheng, Zhongli Liu

Publication date: 22 August 2008

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.2007.09.003

zbMATH Keywords

Newton's methodnonlinear equationcubic semilocal convergence

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (2)

A Steffensen-like method and its higher-order variants ⋮ Convergence criterion and convergence ball of the Newton-type method in Banach space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric constructions of iterative functions to solve nonlinear equations
• On Newton-type methods with cubic convergence
• On a characterization of some Newton-like methods of \(R\)-order at least three
• A variant of Newton's method with accelerated third-order convergence

This page was built for publication: The cubic semilocal convergence on two variants of Newton's method