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Characterization of Convexifiable Functions (CROSBI ID 39334)

Prilog u knjizi | izvorni znanstveni rad

Zlobec, Sanjo Characterization of Convexifiable Functions // Encyclopedia of Optimization, Second Edition / Christodoulos A. Floudas and Panos M. Pardalos (ur.). New York (NY): Springer, 2009. str. 551-555

Podaci o odgovornosti

Zlobec, Sanjo

engleski

Characterization of Convexifiable Functions

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.

Canonical form of smooth programs, mid-point acceleration function

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Podaci o prilogu

551-555.

objavljeno

Podaci o knjizi

Encyclopedia of Optimization, Second Edition

Christodoulos A. Floudas and Panos M. Pardalos

New York (NY): Springer

2009.

978-0-387-74758-3

Povezanost rada

Ekonomija, Matematika