On the semilocal convergence behavior for Halley's method

DOI10.1007/s10589-014-9641-4zbMath1476.65089OpenAlexW2044560858MaRDI QIDQ457227

Xiubin Xu, Yonghui Ling

Publication date: 26 September 2014

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-014-9641-4

zbMATH Keywords

Halley's methodmajorizing sequencemajorizing functionKantorovich-type convergence criterionmajorant conditionsSmale-type convergence criterion

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (6)

Convergence of a continuation method under majorant conditions ⋮ On semilocal convergence analysis for two-step Newton method under generalized Lipschitz conditions in Banach spaces ⋮ Super-Halley method under majorant conditions in Banach spaces ⋮ Unnamed Item ⋮ Local convergence analysis for Chebyshev's method ⋮ Study of semilocal convergence analysis of Chebyshev's method under new type majorant conditions

Uses Software

• NewtonLib

Cites Work

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