Naslov
Characterization of Convexifiable Functions

Autori
Zlobec, Sanjo

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Encyclopedia of Optimization, Second Edition

Urednik/ci
Christodoulos A. Floudas and Panos M. Pardalos

Izdavač
Springer

Grad
New York (NY)

Godina
2009

Raspon stranica
551-555

ISBN
978-0-387-74758-3

Ključne riječi
Canonical form of smooth programs, mid-point acceleration function

Sažetak
A twice continuously differentiable function in several variables, when considered on a compact convex set C, becomes convex if an appropriate convex quadratic is added to it. Equivalently, a twice continuously differentiable function is the difference of a convex function and a convex quadratic on C. This decomposition is valid also for smooth functions with Lipschitz derivatives. Here we recall three conditions that are both necessary and sufficient for the decomposition. We also list several implications of the convexification in optimization and applied mathematics.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Ekonomija

POVEZANOST RADA