Results 11 to 20 of about 545,686 (65)

Quasi Semi and Pseudo Semi (p,E)-Convexity in Non-Linear Optimization Programming

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
The class of quasi semi -convex functions and pseudo semi -convex functions are presented in this paper by combining the class of -convex functions with the class of quasi semi -convex functions and pseudo semi -convex functions, respectively.
Revan I. Hazim, Saba N. Majeed
doaj   +1 more source

Strongly convex functions, Moreau envelopes and the generic nature of convex functions with strong minimizers [PDF]

open access: yes, 2015
In this work, using Moreau envelopes, we define a complete metric for the set of proper lower semicontinuous convex functions. Under this metric, the convergence of each sequence of convex functions is epi-convergence.
Planiden, Chayne, Wang, Xianfu
core   +3 more sources

Point Cloud Repair Method via Convex Set Theory

open access: yesApplied Sciences, 2023
The point cloud is the basis for 3D object surface reconstruction. An incomplete point cloud significantly reduces the accuracy of downstream work such as 3D object reconstruction and recognition.
Tianzhen Dong   +3 more
doaj   +1 more source

Lifts of convex sets and cone factorizations [PDF]

open access: yes, 2012
In this paper we address the basic geometric question of when a given convex set is the image under a linear map of an affine slice of a given closed convex cone.
Barvinok A   +6 more
core   +4 more sources

AN EFFICIENT ALGORITHM FOR THE CONVEX HULL OF PLANAR SCATTERED POINT SET [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2012
Computing the convex hull of a point set is requirement in the GIS applications. This paper studies on the problem of minimum convex hull and presents an improved algorithm for the minimum convex hull of planar scattered point set.
Z. Fu, Y. Lu
doaj   +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

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

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

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

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