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On the convergence of a modified Chebyshev-like method for solving nonlinear equations

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Publication:514837
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DOI10.11650/tjm.19.2015.3856zbMath1357.65069OpenAlexW2038251341MaRDI QIDQ514837

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.3856


zbMATH Keywords

Banach spacessemilocal convergencenonlinear equationslocal convergenceChebyshev-like method


Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)


Related Items (2)

Semilocal convergence and its computational efficiency of a seventh-order method in Banach spaces ⋮ Semilocal convergence of a computationally efficient iterative method in Banach spaces under weak condition



Cites Work

  • Recurrence relations for rational cubic methods. II: The Chebyshev method
  • Recurrence relations for rational cubic methods. I: The Halley method
  • Recurrence relations for the super-Halley method
  • Semilocal convergence of a family of third-order Chebyshev-type methods under a mild differentiability condition


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