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Iterative Proximal-Minimization for Computing Saddle Points with Fixed Index

Iterative Proximal-Minimization for Computing Saddle Points with Fixed Index

Computing saddle points with a prescribed Morse index on potential energy surfaces is crucial for characterizing transition states for nosie-induced rare transition events in physics and chemistry. Many numerical algorithms for this type of saddle points are based on the eigenvector-following idea and can be cast as an iterative minimization …