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math.NA2026
Convergence Analysis of the Discrete Constrained Saddle Dynamics and Their Momentum Variants
Qiang Du, Baoming Shi
We study the discrete constrained saddle dynamics and their momentum variants for locating saddle points on manifolds. Under the assumption of exact unstable eigenvectors, we estab…
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…