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math.OC2015
From Quasidifferentiable to Directed Subdifferentiable Functions: Exact Calculus Rules
Robert Baier, Elza Farkhi, Vera Roshchina
We derive exact calculus rules for the directed subdifferential defined for the class of directed subdifferentiable functions. We also state optimality conditions, a chain rule and…
math.OC2012★ 4 cited
Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure
Robert Baier, Elza Farkhi, Vera Roshchina
We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) functions by Baier and Farkhi can be constructed from the directional derivative w…