TY - JOUR AU - Argyros, Ioannis K. PY - 2008/08/01 Y2 - 2024/03/29 TI - Newton's method in Riemannian manifolds JF - Rev. Anal. Numér. Théor. Approx. JA - Rev. Anal. Numér. Théor. Approx. VL - 37 IS - 2 SE - Articles DO - 10.33993/jnaat372-883 UR - https://ictp.acad.ro/jnaat/journal/article/view/2008-vol37-no2-art3 SP - 119-125 AB - <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> ER -