On a class of nonconvex problems where all local minima are global

DOI10.2298/PIM0476101LzbMATH Open1220.90097MaRDI QIDQ3069369

Leo Liberti

Publication date: 25 January 2011

Published in: Publications de l'Institut Mathematique (Search for Journal in Brave)

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zbMATH Keywords

local minimumconvex functionglobal minimumpath-connected setsuperconvex function

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Convexity of real functions of several variables, generalizations (26B25) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (4)

Run-and-inspect method for nonconvex optimization and global optimality bounds for R-local minimizers ⋮ On an open problem related to the strict local minima of multilinear objective functions ⋮ Every Local Minimum Value Is the Global Minimum Value of Induced Model in Nonconvex Machine Learning ⋮ The minimal criterion for the equivalence between local and global optimal solutions in nondifferentiable optimization problem

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