Local convergence for an almost sixth order method for solving equations under weak conditions

DOI10.1007/s40324-017-0127-zzbMath1396.49021OpenAlexW2620114959MaRDI QIDQ725377

Ioannis K. Argyros, Santhosh George

Publication date: 1 August 2018

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-017-0127-z

zbMATH Keywords

Banach spacelocal convergenceconvergence ballJarratt-type methodsmulti-point methods

Mathematics Subject Classification ID

Newton-type methods (49M15) Rate of convergence, degree of approximation (41A25)

Related Items (6)

Extended ball convergence for a seventh order derivative free class of algorithms for nonlinear equations ⋮ On the local convergence of Weerakoon-Fernando method with \(\omega\) continuity condition in Banach spaces ⋮ Extended iterative schemes based on decomposition for nonlinear models ⋮ Extending the applicability of a Newton-Simpson-like method ⋮ Extended convergence ball for an efficient eighth order method using only the first derivative ⋮ On the convergence of harmonic mean Newton method under \(\omega\) continuity condition in Banach spaces

Cites Work

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• Recurrence relations for rational cubic methods. II: The Chebyshev method
• Recurrence relations for rational cubic methods. I: The Halley method
• The Jarratt method in Banach space setting
• Stable high-order iterative methods for solving nonlinear models
• Recurrence relations for a Newton-like method in Banach spaces
• Computational theory of iterative methods.
• Iterative Methods and Their Dynamics with Applications
• Some Fourth Order Multipoint Iterative Methods for Solving Equations

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