Abstract
In practice, the computation of subdifferential is not an easy task. In this chapter, we first consider some families of set-valued mappings that can be used to approximate subdifferentials. Then we define the concept of a discrete gradient that can be used as an approximation of the subgradient at a given point. Finally, we introduce the notion of piecewise partially separable functions and study their properties. In particular, we describe how to calculate the discrete gradient for a piecewise partially separable function.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Bagirov, A., Karmitsa, N., Mäkelä, M.M. (2014). Approximations of Subdifferentials . In: Introduction to Nonsmooth Optimization. Springer, Cham. https://doi.org/10.1007/978-3-319-08114-4_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-08114-4_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08113-7
Online ISBN: 978-3-319-08114-4
eBook Packages: Business and EconomicsBusiness and Management (R0)