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math.OC2026
First-Order Optimization under Uniform Nondegeneracy: Geometry, Computation, and Information
Hua Su, Lei Zhang, Jin Zhao
Strongly convex minimization and its natural indefinite extension to strongly convex--strongly concave minimax problems combine quantitative control of curvature with a prescribed…
math.NA2026
Computing Saddle Points in Stiff Problems via a Preconditioned High-index Saddle Dynamics Method
Bingzhang Huang, Hua Su, Lei Zhang +1
High-index saddle dynamics (HiSD) is an effective approach for computing saddle points of a prescribed Morse index and constructing solution landscapes for complex nonlinear system…
math.NA2026
SaddleScape V1.0: A Python Package for Constructing Solution Landscapes via High-index Saddle Dynamics
Yuyang Liu, Hua Su, Zixiang Xiao +2
We present SaddleScape V1.0, a Python software package designed for the exploration and construction of solution landscapes in complex systems. The package implements the High-inde…