2 papers
math.NA2025
The Essential Best and Average Rate of Convergence of the Exact Line Search Gradient Descent Method
Thomas Yu
It is very well known that when the exact line search gradient descent method is applied to a convex quadratic objective, the worst-case rate of convergence (ROC), among all seed v…
math.DG2024
Isoperimetric Ratios of Toroidal Dupin Cyclides
Alin Bostan, Thomas Yu, Sergey Yurkevich
The combination of recent results due to Yu and Chen [Proc. AMS 150(4), 2020, 1749-1765] and to Bostan and Yurkevich [Proc. AMS 150(5), 2022, 2131-2136] shows that the 3-D Euclidea…