Directional Differentiability, Coexhausters, Codifferentials and Polyhedral DC Functions
Author:
Affiliation:
1. St. Petersburg State University, and Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, Russia
Publisher
The Mathematical Society of the Republic of China
Subject
General Mathematics
Reference31 articles.
1. A. E. Aban'kin, Unconstrained minimization of $H$-hyperdifferentiable functions, Comput. Math. Math. Phys. 38 (1998), no. 9, 1439–1446.
2. M. E. Abbasov, Second-order minimization method for nonsmooth functions allowing convex quadratic approximations of the augment, J. Optim. Theory Appl. 171 (2016), no. 2, 666–674.
3. ____, Comparison between quasidifferentials and exhausters, J. Optim. Theory Appl. 175 (2017), no. 1, 59–75.
4. ____, Extremum conditions with constrained in terms of proper and improper coexhausters, Vestn. St.-Peterbg. Univ. Prikl. Mat. Inform. Protsessy Upr. 15 (2019), no. 2, 160–172.
5. ____, Finding the set of global minimizers of a piecewise affine function, to appear in Journal of Global Optimization, (2022), arXiv:2004.06255.
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