15 citations · 36 across the 26 of their papers we have counts for
5 papers · 1 filter
Subdifferential Formulas for a Class of Nonconvex Infimal Convolutions
Nguyen Mau Nam
In this paper, we provide a number of subdifferential formulas for a class of nonconvex infimal convolutions in normed spaces. The formulas obtained unify several results on subdif…
A Unified Approach to Convex and Convexified Generalized Differentiation of Nonsmooth Functions and Set-Valued Mappings
Nguyen Mau Nam, Nguyen Dinh Hoang, R. Blake Rector
In the early 1960's, Moreau and Rockafellar introduced a concept of called \emph{subgradient} for convex functions, initiating the developments of theoretical and applied convex an…
The Log-Exponential Smoothing Technique and Nesterov's Accelerated Gradient Method for Generalized Sylvester Problems
Nguyen Thai An, Daniel Giles, Nguyen Mau Nam +1
The Sylvester smallest enclosing circle problem involves finding the smallest circle that encloses a finite number of points in the plane. We consider generalized versions of the S…
Subgradient Algorithm, Stochastic Subgradient Algorithm, Incremental Subgradient Algorithm, and Set Location Problems
Nguyen Mau Nam, Nguyen Thai An, Han Le
In recent years, important progress has been made in applying methods and techniques of convex optimization to many fields of applications such as location science, engineering, co…
The Fermat-Torricelli Problem and Weiszfeld's Algorithm in the Light of Convex Analysis
Boris Mordukhovich, Nguyen Mau Nam
In the early 17th century, Pierre de Fermat proposed the following problem: given three points in the plane, find a point such that the sum of its Euclidean distances to the three…