Local convergence for deformed Chebyshev-type method in Banach space under weak conditions

DOI10.1080/23311835.2015.1036958zbMath1339.65073OpenAlexW1981343462MaRDI QIDQ2813481

Santhosh George, Ioannis K. Argyros

Publication date: 24 June 2016

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2015.1036958

zbMATH Keywords

Chebyshev methodBanach spacelocal convergenceconvergence ball

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Newton-type methods (49M15) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (4)

Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition ⋮ Convergence of an Iteration of Fifth-Order Using Weaker Conditions on First Order Fréchet Derivative in Banach Spaces ⋮ Deformed super-Halley's iteration in Banach spaces and its local and semilocal convergence ⋮ Local convergence analysis for Chebyshev's method

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