Newton's method in Riemannian manifolds
DOI:
https://doi.org/10.33993/jnaat372-883Keywords:
Newton's method, Riemannian manifold, local/semilocal convergence, singularity of a vector field, Newton-Kantorovich methodAbstract
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.Downloads
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