3 papers
math.OC2026
Nonsmooth Convex Optimization using the Specular Gradient Method with Root-Linear Convergence
Kiyuob Jung, Jehan Oh
In this paper, we find the special case of the subgradient method minimizing a one-dimensional real-valued function, which we term the specular gradient method, that converges root…
math.CA2025
The Specular Derivative
Kiyuob Jung, Jehan Oh
In this paper, we introduce a new generalized derivative, which we term the specular derivative. We establish the Quasi-Rolles' Theorem, the Quasi-Mean Value Theorem, and the Funda…
math.AP2024
Interior type estimates for degenerate fully nonlinear elliptic equations with data
Sun-Sig Byun, Hongsoo Kim, Jehan Oh
We establish interior type estimates for a class of degenerate fully nonlinear elliptic equations with data. The main idea of our approach is to slide c…