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arxiv: 1407.2817 · v2 · pith:X52S4AIInew · submitted 2014-07-10 · 🧮 math.OC · cond-mat.mtrl-sci· cs.NA· math.NA· physics.atom-ph

An Efficient Dimer Method With Preconditioning And Linesearch

classification 🧮 math.OC cond-mat.mtrl-scics.NAmath.NAphysics.atom-ph
keywords methoddimerlinesearchpreconditioningalgorithmaugmentautomaticcapabilities
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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.

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