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Variational Analysis and Optimization Seminar

A new tour on the subdifferential of the supremum function
Friday, November 11, 2022
9:00-10:00 AM
Off Campus Location
This talk is a kind of survey presenting various
characterizations of the subdifferential of the pointwise supremum of an
arbitrary family of convex functions, as well as some featured
applications. Starting by the maximum generality framework, we move
after to particular contexts in which some continuity and compacity
assumptions are either imposed or inforced via processes of
compactification of the index set and regularization of the data
functions. Some relevant applications of the general results are
presented, in particular to derive rules for the subdifferential of the
sum, and for convexifying a general (unconstrained) optimization
problem. The last part deals with some specific constraint
qualifications for the convex optimization problem with an arbitrary set
of constraints, and also contains different sets of KKT-type optimality
conditions appealing to the subdifferential of the supremum function. Speaker(s): Marco A. López (University of Alicante, Spain)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics