Title data
Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
From Quasidifferentiable to Directed Subdifferentiable Functions: Exact Calculus
Rules.
University of Bayreuth, Germany; Tel Aviv University, Israel; RMIT, Australia
Bayreuth
,
2016
. - 23 p.
There is a more recent version of this item available. |
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Project information
Project financing: |
The Hermann Minkowski Center for Geometry at Tel Aviv University, Tel Aviv, Israel |
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Abstract in another language
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.
Further data
Item Type: | Preprint, postprint, working paper, discussion paper |
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Refereed: | Yes |
Additional notes: | Contents:
1. Introduction 2. Calculus Rules 2.1 Algebraic operations 2.2 Pointwise maximum and minimum 3. Optimality Conditions 4. Chain Rule and Mean-Value Theorem 5. Conclusions revised version (February 2016) and first version (July 2015) published in arXiv |
Keywords: | nonconvex subdifferentials; directional derivatives; difference of convex (DC) functions; mean-value theorem and chain rule for nonsmooth functions |
Subject classification: | Mathematics Subject Classification Code: 49J52 90C26 26B25 58C20 |
Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics |
Result of work at the UBT: | Yes |
DDC Subjects: | 500 Science > 510 Mathematics |
Date Deposited: | 02 Jul 2015 07:00 |
Last Modified: | 02 Mar 2016 06:27 |
URI: | https://eref.uni-bayreuth.de/id/eprint/15712 |
Available Versions of this Item
- From Quasidifferentiable to Directed Subdifferentiable Functions: Exact Calculus Rules. (deposited 02 Jul 2015 07:00) [Currently Displayed]