https://pure.iiasa.ac.at/id/eprint/4252 2021-08-27T17:35:55Z info:eu-repo/semantics/descriptiveMetadata https://pure.iiasa.ac.at/id/eprint/4252/ The minimization of semicontinuous functions: Mollifier subgradients Ermoliev, Y.M. Norkin, V.I. Wets, R.J.-B. To minimize discontinuous functions that arise in the context of systems with jumps, for example, we propose a new approach based on approximation via averaged functions (obtained by convolution with mollifiers). The properties of averaged functions are studied, after it is shown that they can be used in an approximation scheme consistent with minimization. A new notion of subgradient is introduced based on approximations generated by mollifiers and is exploited in the design of minimization procedures. Society for Industrial and Applied Mathematics (SIAM) 1995 Article PeerReviewed Ermoliev, Y.M. <https://pure.iiasa.ac.at/view/iiasa/338.html>, Norkin, V.I. <https://pure.iiasa.ac.at/view/iiasa/2245.html>, & Wets, R.J.-B. <https://pure.iiasa.ac.at/view/iiasa/2512.html> (1995). The minimization of semicontinuous functions: Mollifier subgradients. SIAM Journal on Control and Optimization 33 (1) 149-167. 10.1137/S0363012992238369 <https://doi.org/10.1137/S0363012992238369>. 10.1137/S0363012992238369 10.1137/S0363012992238369 10.1137/S0363012992238369 info:eu-repo/semantics/humanStartPage