An Iterative Minimization Formulation for Saddle Point Search
From MaRDI portal
Publication:5499975
DOI10.1137/130930339zbMATH Open1321.65097arXiv1406.1991OpenAlexW1497401739WikidataQ60143610 ScholiaQ60143610MaRDI QIDQ5499975
Author name not available (Why is that?)
Publication date: 5 August 2015
Published in: (Search for Journal in Brave)
Abstract: This paper proposes and analyzes an iterative minimization formulation for search- ing index-1 saddle points of an energy function. This formulation differs from other eigenvector-following methods by constructing a new objective function near the guess at each iteration step. This leads to a quadratic convergence rate, in comparison to the linear case of the gentlest ascent dynamics (E and Zhou, nonlinearity, vol 24, p1831, 2011) and many other existing methods. We also propose the generalization of the new methodology for saddle points of higher index and for constrained energy functions on manifold.
Full work available at URL: https://arxiv.org/abs/1406.1991
No records found.
No records found.
This page was built for publication: An Iterative Minimization Formulation for Saddle Point Search
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5499975)
