@article{Argyros_2008, title={Newton’s method in Riemannian manifolds}, volume={37}, url={https://ictp.acad.ro/jnaat/journal/article/view/2008-vol37-no2-art3}, DOI={10.33993/jnaat372-883}, abstractNote={<pre>Using more precise majorizing sequences than before [1], [8], and</pre><pre> 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.</pre>}, number={2}, journal={Rev. Anal. Numér. Théor. Approx.}, author={Argyros, Ioannis K.}, year={2008}, month={Aug.}, pages={119–125} }