A new Householders method free from second derivatives for solving nonlinear equations and polynomiography

DOI10.22436/jnsa.009.03.28zbMath1329.65104OpenAlexW2783274078MaRDI QIDQ3457910

Waqas Nazeer, Muhammad Tanveer, Kang, Shin Min, Amir Naseem

Publication date: 7 December 2015

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss3_998--1007_A_new_Householders_method_free_from.pdf

zbMATH Keywords

convergenceNewton's methodHalley's methodnonlinear equationefficiency indexpolynomiographyHouseholder's method

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05) Numerical computation of roots of polynomial equations (65H04)

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