High-order convergence of the \(k\)-fold pseudo-Newton's irrational method locating a simple real zero

DOI10.1016/j.amc.2006.04.010zbMath1114.65043OpenAlexW1987635179MaRDI QIDQ861133

Min Surp Rhee, Young Ik Kim, Young Hee Geum

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.04.010

zbMATH Keywords

numerical examplesorder of convergenceasymptotic error constantcubic convergenceOstrowski's method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Uses Software

• Mathematica

Cites Work

• The quasi-Laguerre iteration
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