Convergence radius of Osada's method under center-Hölder continuous condition

DOI10.1016/j.amc.2014.06.068zbMath1336.65086OpenAlexW2154011173MaRDI QIDQ280037

Xiaojian Zhou, Yong-Zhong Song

Publication date: 29 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.068

zbMATH Keywords

multiple rootsTaylor's expansioncenter-Hölder conditionconvergence radiusOsada's method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (4)

Convergence radius of Halley's method for multiple roots under center-Hölder continuous condition ⋮ A note on ``Convergence radius of Osada's method under Hölder continuous condition ⋮ Local convergence balls for nonlinear problems with multiplicity and their extension to eighth-order convergence ⋮ An alternative analysis for the local convergence of iterative methods for multiple roots including when the multiplicity is unknown

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