%0 Report
%D 2002
%T Computing Mountain Passes and Transition States
%A J. J. More'
%X We propose the elastic string algorithm for computing mountain passes in finite-dimensional problems. We analyze the convergence properties and numerical performance of this algorithm for benchmark problems in chemistry and discretizations of infinite-dimensional variational problems. We show that any limit point of the elastic string algorithm is a path that crosses a critical point at which the Hessian matrix is not positive definite.
%8 05/2002
%G eng
%1 http://www.mcs.anl.gov/papers/P957.pdf