3 papers
math.OC2025
An inexact inertial projective splitting algorithm with strong convergence
M. Marques Alves, J. E. Navarro Caballero, R. T. Marcavillaca
We propose and study a strongly convergent inexact inertial projective splitting (PS) algorithm for finding zeros of composite monotone inclusion problems involving the sum of fini…
math.OC2025
Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization
N. Hadjisavvas, F. Lara, R. T. Marcavillaca +1
In this work, we investigate a second-order dynamical system with Hessian-driven damping tailored for a class of nonconvex functions called strongly quasiconvex. Buil\-ding upon th…
math.OC2024
Characterizations, Dynamical Systems and Gradient Methods for Strongly Quasiconvex Functions
Felipe Lara, Raúl T. Marcavillaca, Phan T. Vuong
We study differentiable strongly quasiconvex functions for providing new properties for algorithmic and monotonicity purposes. Furthemore, we provide insights into the decreasing b…