Newton's method in Riemannian manifolds
Keywords:Newton's method, Riemannian manifold, local/semilocal convergence, singularity of a vector field, Newton-Kantorovich method
AbstractUsing more precise majorizing sequences than before , , 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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