3 papers
math.OC2025
On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian
Radu I. Boţ, Minh N. Dao, Tianxiang Liu +2
It is known that if a twice differentiable function has a Lipschitz continuous Hessian, then its gradients satisfy a Jensen-type inequality. In particular, this inequality is Hessi…
math.OC2024
Fast Krasnoselskii-Mann Method with Overrelaxation and Preconditioners
Radu I. Boţ, Enis Chenchene, Jalal M. Fadili
We study accelerated Krasnoselskii-Mann-type methods with preconditioners in both continuous and discrete time. From a continuous-time model, we derive a generalized fast Krasnosel…
math.OC2023
A full splitting algorithm for fractional programs with structured numerators and denominators
Radu Ioan Boţ, Guoyin Li, Min Tao
In this paper, we consider a class of nonconvex and nonsmooth fractional programming problems, that involve the sum of a convex, possibly nonsmooth function composed with a linear…