From Quasidifferentiable to Directed Subdifferentiable Functions: Exact\n Calculus Rules

2015/07/01 by Robert Baier, Baier, Robert, Elza Farkhi +3
Computer Science · Mathematics · #26B25 #49J52 #58C20 #90C26 #Advanced Algebra and Logic #Advanced Optimization Algorithms Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1507.00174

openalex publication_date 2015/07/01 · openalex created_date 2022/08/14 · openalex updated_date 2026/07/28

Abstract

We derive exact calculus rules for the directed subdifferential defined for\nthe class of directed subdifferentiable functions. We also state optimality\nconditions, a chain rule and a mean-value theorem. Thus we extend the theory of\nthe directed subdifferential from quasidifferentiable to directed\nsubdifferentiable functions.\n

Citations

• Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems

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