tangent vector field – Optimization Online

Spectral Residual Method for Nonlinear Equations on Riemannian Manifolds

Published: 2020/09/19, Updated: 2020/12/31

Nonlinear Systems and Least-Squares non-monotone line search, nonlinear system of equations, riemannian manifold, spectral residual method, tangent vector field

In this paper, the spectral algorithm for nonlinear equations (SANE) is adapted to the problem of finding a zero of a given tangent vector field on a Riemannian manifold. The generalized version of SANE uses, in a systematic way, the tangent vector field as a search direction and a continuous real–valued function that adapts this … Read more