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 #math.OC #msc:26B25 #msc:49J52 #msc:58C20 #msc:90C26
paper · pdf · doi:10.48550/arxiv.1507.00174
openalex publication_date 2015/07/01 · arxiv created 2016/02/17 · arxiv updated 2016/02/18 · openalex created_date 2022/08/14 · openalex updated_date 2026/07/28
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 a mean-value theorem. Thus we extend the theory of the directed subdifferential from quasidifferentiable to directed subdifferentiable functions.