Newton's method in Riemannian manifolds


  • Ioannis K. Argyros Cameron University, USA


Newton's method, Riemannian manifold, local/semilocal convergence, singularity of a vector field, Newton-Kantorovich method
Abstract views: 220


Using more precise majorizing sequences than before [1], [8], and under the same computational cost, we provide a finer semilocal convergence analysis of Newton's method in Riemannian manifolds with the following advantages: larger convergence domain, finer error bounds on the distances involved, and a more precise information on the location of the singularity of the vector field.


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How to Cite

Argyros, I. K. (2008). Newton’s method in Riemannian manifolds. Rev. Anal. Numér. Théor. Approx., 37(2), 119–125. Retrieved from