Characterization of Convexifiable Functions (CROSBI ID 39334)
Prilog u knjizi | izvorni znanstveni rad
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