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math.OC2026
Specular gradient methods for nonsmooth convex optimization in Euclidean spaces: a subgradient selection strategy
Kiyuob Jung
This paper deals with nonsmooth convex optimization problems in Euclidean spaces. We identify special elements of the subdifferential of a convex function, called specular gradient…
math.OC2024
Nonsmooth Convex Optimization using the Specular Gradient Method with Root-Linear Convergence
Kiyuob Jung, Jehan Oh
We propose the specular gradient method for one-dimensional convex optimization. Assuming that the minimum is attained and a suitable initial distance bound holds, we establish R-l…