Abstract
A convergence criterion of the family of Euler-Halley type methods for the vector fields on Riemannian manifolds whose covariant derivatives satisfy the $\gamma$-condition is established. The corresponding results due to [12] are extended. An application to analytic vector fields is provided.
Citation
Jin-Hua Wang. Chong Li. "CONVERGENCE OF THE FAMILY OF EULER-HALLEY TYPE METHODS ON RIEMANNIAN MANIFOLDS UNDER THE $\gamma$-CONDITION." Taiwanese J. Math. 13 (2A) 585 - 606, 2009. https://doi.org/10.11650/twjm/1500405357
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