Chebyshev-Halley's method on Riemannian manifolds

DOI10.1016/j.cam.2017.12.019zbMath1385.53008OpenAlexW2778473841WikidataQ115359810 ScholiaQ115359810MaRDI QIDQ1696429

Peng Zhang

Publication date: 14 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.12.019

zbMATH Keywords

Riemannian manifoldsKantorovich-type conditionsNewton and Chebyshev-Halley's methods

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Local Riemannian geometry (53B20) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Related Items (2)

Semilocal convergence of Modified Chebyshev-Halley method for nonlinear operators in case of unbounded third derivative ⋮ Convergence analysis of the modified Chebyshev's method for finding multiple roots

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