Secant Method on Riemannian Manifolds
arXiv:1712.02655
Abstract
In this work, by using techniques and results of differential geometry, we propose a new numerical method on complete Riemannian manifolds to find zeros of vector fields. Our algorithm generalizes the classical secant method
arXiv commentThe authors have identified substantive issues in the mathematical analysis of the manuscript, particularly in the convergence arguments, which affect the validity of some of the main results. We therefore withdraw this version to prevent readers from relying on conclusions whose justification is not sufficiently rigorous