An Efficient Dimer Method With Preconditioning And Linesearch
  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. 
N. Gould, C. Ortner, D. Packwood
math.OC cond-mat.mtrl-sci math.NA physics.atom-ph