392 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Argonne National LaboratoryUS11 papers
- Lawrence Livermore National LaboratoryUS10 papers
- The University of Texas at AustinUS10 papers
- University of California, BerkeleyUS8 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Santa Fe InstituteUS6 papers
- Florida State UniversityUS5 papers
- Fudan UniversityCN5 papers
- Intel (United States)US5 papers
- Oregon State UniversityUS5 papers
- Wayne State UniversityUS5 papers
- Los Alamos National LaboratoryUS4 papers
13 papers · 1 filter
Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam +1
This paper addresses the study and applications of polyhedral duality of locally convex topological vector (LCTV) spaces. We first revisit the classical Rockafellar's proper separa…
Linear Nearest Neighbor Flocks with All Distinct Agents
R. Lyons, J. J. P. Veerman
This paper analyzes the global dynamics of 1-dimensional agent arrays with nearest neighbor linear couplings. The equations of motion are second order linear ODEs with constant coe…
Convex Analysis of Minimal Time and Signed Minimal Time Functions
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam +1
In this paper we first consider the class of minimal time functions in the general setting of locally convex topological vector (LCTV) spaces. The results obtained in this framewor…
Extremal Systems of Convex Sets with Applications to Convex Calculus in Vector Spaces
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam
In this paper we introduce and study the concept of set extremality for systems of convex sets in vector spaces without topological structures. Characterizations of the extremal sy…
A DC Programming Approach for Solving Multicast Network Design Problems via the Nesterov Smoothing Technique
W. Geremew, N. M. Nam, A. Semenov +2
This paper continues our effort initiated in [9] to study Multicast Communication Networks, modeled as bilevel hierarchical clustering problems, by using mathematical optimization…
Extremality of Convex Sets with Some Applications
Boris Mordukhovich, Nguyen Mau Nam
In this paper we introduce an enhanced notion of extremal systems for sets in locally convex topological vector spaces and obtain efficient conditions for set extremality in the co…
Variational Geometric Approach to Generalized Differential and Fenchel Conjugate Calculi in Convex Analysis
Boris Mordukhovich, Nguyen Mau Nam, R. Blake Rector +1
This paper develops a geometric approach of variational analysis for the case of convex objects considered in locally convex topological spaces and also in Banach space settings. B…
On a Convex Set with Nondifferentiable Metric Projection
Shyan S. Akmal, Nguyen Mau Nam, J. J. P. Veerman
A remarkable example of a nonempty closed convex set in the Euclidean plane for which the directional derivative of the metric projection mapping fails to exist was constructed by…
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…
Lipschitz Properties of Nonsmooth Functions and Set-Valued Mappings via Generalized Differentiation and Applications
Nguyen Mau Nam, Gerardo Lafferriere
In this paper, we revisit the Mordukhovich's subdifferential criterion for Lipschitz continuity of nonsmooth functions and coderivative criterion for the Aubin/Lipschitz-like prope…
Variational Analysis of Directional Minimal Time Functions and Applications to Location Problems
Nguyen Mau Nam, Constantin Zalinescu
This paper is devoted to the study of directional minimal time functions that specify the minimal time for a vector to reach an object following its given direction. We provide a c…
How to Evolve Safe Control Strategies
G. W. Greenwood, X. Song
Autonomous space vehicles need adaptive control strategies that can accommodate unanticipated environmental conditions. The evaluation of new strategies can often be done only by a…