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New family of eighth‐order methods for nonlinear equation

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Publication:5189821
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DOI10.1108/03321640910991985zbMath1191.65051OpenAlexW1997560377MaRDI QIDQ5189821

Yu-Xin Zhang, Guo-Feng Zhang, Heng-Fei Ding

Publication date: 11 March 2010

Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03321640910991985

zbMATH Keywords

iterative methodsnonlinear equationmulti-step iterative methodsefficiency indexeighth-order convergence


Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)




Cites Work

  • Three-step iterative methods with eighth-order convergence for solving nonlinear equations
  • Geometric constructions of iterative functions to solve nonlinear equations
  • Some variants of Ostrowski's method with seventh-order convergence
  • An improvement to Ostrowski root-finding method
  • A family of Chebyshev-Halley type methods in Banach spaces
  • Optimal Order of One-Point and Multipoint Iteration
  • A variant of Newton's method with accelerated third-order convergence
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