TITLE

AN INTERSECTION FORMULA FOR THE NORMAL CONE ASSOCIATED WITH THE HYPERTANGENT CONE

AUTHOR(S)
CILIGOT-TRAVAIN, M.
PUB. DATE
December 1999
SOURCE
Journal of Applied Analysis;1999, Vol. 5 Issue 2, p239
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
No abstract available.
ACCESSION #
98182159

 

Related Articles

  • Subdifferential properties of the minimal time function of linear control systems. Yi Jiang; Yi Ran He; Jie Sun // Journal of Global Optimization;Nov2011, Vol. 51 Issue 3, p395 

    We present several formulae for the proximal and Fréchet subdifferentials of the minimal time function defined by a linear control system and a target set. At every point inside the target set, the proximal/Fréchet subdifferential is the intersection of the proximal/Fréchet normal cone...

  • Intersecting families of sets and the topology of cones in economics. Chichilnisky, G. // Bulletin (New Series) of the American Mathematical Society;Oct1993, Vol. 29 Issue 2, p189 

    Discusses a topological formulation of market equilibrium and social choice functions identifying the properties of a family of cones associated with the economy. Duality property of the homology groups of the nerve defined by the family of cones; Proof that the intersection of the family of...

  • Generalized Differentiation of a Class of Normal Cone Operators. Qui, Nguyen // Journal of Optimization Theory & Applications;May2014, Vol. 161 Issue 2, p398 

    This paper investigates generalized differentiation of normal cone operators to parametric smooth-boundary sets in Asplund spaces. We obtain formulas for computing the Fréchet and Mordukhovich coderivatives of such normal cone operators. We also give several examples to illustrate how the...

  • Explicit Formula of Koszul-Vinberg Characteristic Functions for a Wide Class of Regular Convex Cones. Hideyuki Ishi // Entropy;Nov2016, Vol. 18 Issue 11, p383 

    The Koszul-Vinberg characteristic function plays a fundamental role in the theory of convex cones. We give an explicit description of the function and related integral formulas for a new class of convex cones, including homogeneous cones and cones associated with chordal (decomposable) graphs...

  • Reflexive cones. Casini, E.; Miglierina, E.; Polyrakis, I.; Xanthos, F. // Positivity;Sep2013, Vol. 17 Issue 3, p911 

    Reflexive cones in Banach spaces are cones with weakly compact intersection with the unit ball. In this paper we study the structure of this class of cones. We investigate the relations between the notion of reflexive cones and the properties of their bases. This allows us to prove a...

  • Subdifferential of Optimal Value Functions in Nonlinear Infinite Programming. Huy, N.; Giang, N.; Yao, J.-C. // Applied Mathematics & Optimization;Feb2012, Vol. 65 Issue 1, p91 

    This paper presents an exact formula for computing the normal cones of the constraint set mapping including the Clarke normal cone and the Mordukhovich normal cone in infinite programming under the extended Mangasarian-Fromovitz constraint qualification condition. Then, we derive an upper...

  • Strongly normal cones and the midpoint locally uniform rotundity. Storozhuk, K. // Positivity;Sep2013, Vol. 17 Issue 3, p935 

    We give the method of construction of normal but not strongly normal positive cones.

  • The Primal-Dual Second-Order Cone Approximations Algorithm for Symmetric Cone Programming. Chek Beng Chua // Foundations of Computational Mathematics;Aug2007, Vol. 7 Issue 3, p271 

    Given any open convex cone K, a logarithmically homogeneous, self-concordant barrier for K, and any positive real number r < 1, we associate, with each direction $x \in K$ , a second-order cone $\Hat K_r(x)$ containing K. We show that K is the interior of the intersection of the second-order...

  • conic section.  // American Heritage Student Science Dictionary;2009, p79 

    A definition of the term conic section is presented. This refers to a curve that is formed by the intersection of a plane with a cone. It can appear as circles, ellipses, hyperbolas, or parabolas, depending on the angle of the intersecting plane relative to the cone's base.

  • A Lipschitz constant formula for vector addition in cones with applications to Stein-like equations. Lawson, Jimmie; Lim, Yongdo // Positivity;Mar2012, Vol. 16 Issue 1, p81 

    For a cone C equipped with the Thompson metric and $${a\in C}$$, we show that the translation map $${x\mapsto x+a}$$ is a strict contraction on any lower (or initial) set $${C\cap x-C}$$ of the cone and derive an explicit formula for the Lipschitz constant. We apply our results to Stein...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics