A cubic-order variant of Newton's method for finding multiple roots of nonlinear equations

DOI10.1016/j.camwa.2011.04.069zbMath1231.65085OpenAlexW2051295185MaRDI QIDQ660785

Young Hee Geum, Young Ik Kim

Publication date: 5 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.04.069

zbMATH Keywords

Newton's methodnonlinear equationorder of convergenceroot findingmultiple root

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (4)

A general family of third order method for finding multiple roots ⋮ On a family of high-order iterative methods under Kantorovich conditions and some applications ⋮ On a two-step relaxed Newton-type method ⋮ On the optimality of some multi-point methods for finding multiple roots of nonlinear equation

Uses Software

• Mathematica

Cites Work

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• A modification of Newton method with third-order convergence
• A family of root finding methods
• The asymptotic error constant of leap-frogging Newton's method locating a simple real zero
• The quasi-Laguerre iteration
• Generalization of Taylor's theorem and Newton's method via a new family of determinantal interpolation formulas and its applications
• A computational comparison of the first nine members of a determinantal family of root-finding methods

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