Results 31 to 40 of about 6,795,119 (352)

On Some Corollaries of a Transversal Theorem

open access: yesМоделирование и анализ информационных систем, 2015
In this paper we consider theorems which are generalizations of the well-known corollaries of the Helly ...
V. L. Dolnikov
doaj   +1 more source

On a Class of Generalized Nonexpansive Mappings

open access: yesMathematics, 2020
In our recent work we have introduced and studied a notion of a generalized nonexpansive mapping. In the definition of this notion the norm has been replaced by a general function satisfying certain conditions.
Simeon Reich, Alexander J. Zaslavski
doaj   +1 more source

Shortest Paths in Graphs of Convex Sets [PDF]

open access: yesSIAM Journal on Optimization, 2021
Given a graph, the shortest-path problem requires finding a sequence of edges with minimum cumulative length that connects a source vertex to a target vertex.
Tobia Marcucci   +3 more
semanticscholar   +1 more source

Optimal rates of convergence for convex set estimation from support functions [PDF]

open access: yes, 2011
We present a minimax optimal solution to the problem of estimating a compact, convex set from finitely many noisy measurements of its support function. The solution is based on appropriate regularizations of the least squares estimator.
Adityanand Guntuboyina
semanticscholar   +1 more source

Minimal Total Area Convex Set Partitioning Problem

open access: yesCommunications, 2009
The linear binary model for finding set partitioning of the points in the plane is studied. We present heuristic which generates partitioning of points to clusters for a given number of seeds with searched seeds of clusters in a plane.
Stefan Pesko
doaj   +1 more source

Complete criterion for convex-Gaussian state detection [PDF]

open access: yes, 2014
We present a new criterion that determines whether a fermionic state is a convex combination of pure Gaussian states. This criterion is complete and characterizes the set of convex-Gaussian states from the inside.
Vershynina, Anna
core   +1 more source

Convex sets and inequalities [PDF]

open access: yesJournal of Inequalities and Applications, 2005
We consider a natural correspondence between a family of inequalities and a closed convex set. As an application, we give new types of power mean inequalities and the Hölder-type inequalities.
Hiroyuki Takagi   +3 more
openaire   +2 more sources

Matrix Convex Hulls of Free Semialgebraic Sets [PDF]

open access: yes, 2013
This article resides in the realm of the noncommutative (free) analog of real algebraic geometry - the study of polynomial inequalities and equations over the real numbers - with a focus on matrix convex sets $C$ and their projections $\hat C$.
Helton, J. William   +2 more
core   +1 more source

Strongly convex set-valued maps

open access: yesJournal of Global Optimization, 2013
We introduce the notion of strongly $$t$$-convex set-valued maps and present some properties of it. In particular, a Bernstein–Doetsch and Sierpiński-type theorems for strongly midconvex set-valued maps, as well as a Kuhn-type result are obtained.
H. Leiva   +3 more
semanticscholar   +1 more source

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