On the complexity of extending the convergence region for Traub's method

DOI10.1016/J.JCO.2019.101423zbMath1468.65060OpenAlexW2966534858MaRDI QIDQ2283123

Santhosh George, Ioannis K. Argyros

Publication date: 30 December 2019

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2019.101423

zbMATH Keywords

Newton's methodBanach spaceTraub's methodlocal and semi-local convergence

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items (15)

Extending the applicability and convergence domain of a higher-order iterative algorithm under \(\omega\) condition ⋮ Extended iterative schemes based on decomposition for nonlinear models ⋮ A study on the local convergence and complex dynamics of Kou's family of iterative methods ⋮ On the complexity of convergence for high order iterative methods ⋮ A ball comparison between extended modified Jarratt methods under the same set of conditions for solving equations and systems of equations ⋮ Extending the applicability of a Newton-Simpson-like method ⋮ Unified ball convergence of third and fourth convergence order algorithms under $omega-$continuity conditions ⋮ Extended local convergence and comparisons for two three-step Jarratt-type methods under the same conditions ⋮ Extended convergence ball for an efficient eighth order method using only the first derivative ⋮ Extending the convergence domain of deformed Halley method under \(\omega\) condition in Banach spaces ⋮ Extended convergence of a sixth order scheme for solving equations under \(\omega\)-continuity conditions ⋮ On the complexity of extending the convergence ball of Wang's method for finding a zero of a derivative ⋮ Convergence of Traub's iteration under \(\omega\) continuity condition in Banach spaces ⋮ On Newton's midpoint-type iterative Scheme's convergence ⋮ On the convergence of harmonic mean Newton method under \(\omega\) continuity condition in Banach spaces

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