A geometric representation of the Morse fan

DOI10.1007/s10898-004-8275-yzbMath1105.49018OpenAlexW1973743958MaRDI QIDQ1777446

Diethard Pallaschke, Ryszard Urbański, Jerzy Grzybowski

Publication date: 17 May 2005

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-004-8275-y

zbMATH Keywords

nonsmooth optimizationcombinatorial convexitynonsmooth Morse theory

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Singularities of differentiable mappings in differential topology (57R45)

Cites Work

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• Nonlinear optimization in finite dimensions. Morse theory, Chebyshev approximation, transversality, flows, parametric aspects
• On Morse theory for piecewise smooth functions
• On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-linear convex functions
• On linearization and continuous selections of functions
• Sublinear functions chich generate the group of normal forms of piecewise smooth morse Functions^*
• Continuous selections of linear functions and nonsmooth critical point theory

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