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We present a semilocal convergence analysis of Newton’s method for sections on Riemannian manifolds. Using the notion of a 2-piece L-average Lipschitz condition introduced before in combination with our new idea of restricted convergence domains, we provide a tighter convergence analysis than in earlier studies.
How to Cite this Article:
Ioannis K. Argyros, Santhosh George, Extending the applicability of Newton’s method for sections on Riemannian manifolds using restricted convergence domains, Journal of Nonlinear Functional Analysis 2016 (2016), Article ID 37.