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math.NA2026
A Derivative-Free Saddle-search Algorithm With Linear Convergence Rate
Qiang Du, Baoming Shi, Lei Zhang +1
We propose a derivative-free saddle-search algorithm designed to locate transition states using only function evaluations. The algorithm employs a nested architecture consisting of…
math.NA2025
A Stochastic Algorithm for Searching Saddle Points with Convergence Guarantee
Baoming Shi, Lei Zhang, Qiang Du
Saddle points provide a hierarchical view of the energy landscape, revealing transition pathways and interconnected basins of attraction, and offering insight into the global struc…