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An efficient dimer method with preconditioning and linesearch

Nicholas I. M. Gould (nick.gould***at***stfc.ac.uk)
Christoph Ortner (C.Ortner***at***warwick.ac.uk)
David Packwoood (davidpackwood123***at***gmail.com)

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: saddle search, perconditioning, convergence, dimer method

Category 1: Nonlinear Optimization (Other )

Category 2: Applications -- Science and Engineering (Basic Sciences Applications )

Citation: http://arxiv.org/abs/1407.2817

Download: [PDF]

Entry Submitted: 07/30/2014
Entry Accepted: 07/30/2014
Entry Last Modified: 07/30/2014

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