3 papers
math.OC2026
A Globally Convergent Newton Method for Nonsmooth Optimization in the absence of Smooth Surrogates
Tran T. A. Nghia, Nghia V. Vo, Khoa V. H. Vu
We propose a globally convergent Newton method for convex composite optimization problems with polyhedral regularizers. The method rests on the observation that the proximal gradie…
math.OC2026
Isolated calmness of regularized linear inverse problems
Tran T. A. Nghia, Huy N. Pham, Nghia V. Vo +1
This paper studies the isolated calmness property of solution mappings arising from convex regularized linear inverse problems. We mainly establish a tangent-cone characterization…
math.OC2015
On the convergence of the forward-backward splitting method with linesearches
J. Y. Bello Cruz, T. T. A. Nghia
In this paper we focus on the convergence analysis of the forward-backward splitting method for solving nonsmooth optimization problems in Hilbert spaces when the objective functio…