An Efficient Dimer Method With Preconditioning And Linesearch
Optimization and Control
2014-07-30 v2 Materials Science
Numerical Analysis
Atomic Physics
Abstract
The dimer method is a Hessian-free algorithm for computing saddle points. We augment the method with a linesearch mechanism for automatic step size selection as well as preconditioning capabilities. We prove local linear convergence. A series of numerical tests demonstrate significant performance gains.
Keywords
Cite
@article{arxiv.1407.2817,
title = {An Efficient Dimer Method With Preconditioning And Linesearch},
author = {N. Gould and C. Ortner and D. Packwood},
journal= {arXiv preprint arXiv:1407.2817},
year = {2014}
}
Comments
32 pages, 10 figures v2: An additional case for Theorem 7