On the Properties of Convex Functions over Open Sets

zbMath1460.26011arXiv1812.02419MaRDI QIDQ5856375

Yoel Drori

Publication date: 25 March 2021

Full work available at URL: https://arxiv.org/abs/1812.02419

zbMATH Keywords

convex functionsopen setsdescent lemma

Mathematics Subject Classification ID

Convex programming (90C25) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25)

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• PESTO

Cites Work

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• An extension theorem for convex functions of class \(C^{1,1}\) on Hilbert spaces
• Smooth strongly convex interpolation and exact worst-case performance of first-order methods
• The exact information-based complexity of smooth convex minimization
• Introductory lectures on convex optimization. A basic course.
• On the convexity of piecewise-defined functions
• Explicit formulas for 𝐶^{1,1} Glaeser-Whitney extensions of 1-Taylor fields in Hilbert spaces
• First-Order Methods in Optimization
• Worst-Case Convergence Analysis of Inexact Gradient and Newton Methods Through Semidefinite Programming Performance Estimation
• Convex analysis and monotone operator theory in Hilbert spaces

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