Results 81 to 90 of about 146 (138)

The directional subdifferential of the difference of two convex functions

open access: yes
We provide a criterion giving a formula for the directional (or contingent) subdifferential of the difference of two convex functions. We even extend it to the difference of two approximately starshaped functions.
Jean-Paul Penot
core   +1 more source

Conic separation of finite sets. I. The homogeneous case

open access: yes, 2020
. This work addresses the issue of separating two finite sets in R n by means of a suitable revolution cone The specific challenge at hand is to determine the aperture coefficient s, the axis y, and the apex z of the cone.
Manlio Gaudioso   +2 more
core  

First-Order Conditions for Optimization Problems with Quasiconvex Inequality Constraints [PDF]

open access: yes, 2008
2000 Mathematics Subject Classification: 90C46, 90C26, 26B25, 49J52.The constrained optimization problem min f(x), gj(x) ≤ 0 (j = 1,…p) is considered, where f : X → R and gj : X → R are nonsmooth functions with domain X ⊂ Rn.
Ivanov, Vsevolod I., Ginchev, Ivan
core  

A note on strong pseudoconvexity

open access: yesOpen Mathematics, 2008
Ivanov Vsevolod
doaj   +1 more source

Copositivity tests based on the linear complementarity problem [PDF]

open access: yes, 2014
Copositivity tests are presented based on new necessary and suffcient conditions requiring the solution of linear complementarity problems (LCP). Methodologies involving Lemke's method, an enumerative algorithm and a linear mixed-integer programming ...
Judice, Joaquim   +2 more
core  

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