A dynamical system perspective on mathematical programming. Issue 2 (3rd April 2018)
- Record Type:
- Journal Article
- Title:
- A dynamical system perspective on mathematical programming. Issue 2 (3rd April 2018)
- Main Title:
- A dynamical system perspective on mathematical programming
- Authors:
- Pedregal, Pablo
- Abstract:
- ABSTRACT: We explore how to build a vector field from the various functions involved in a given mathematical programme, and show that equilibria of the corresponding dynamical system are precisely the solutions of the underlying optimality conditions for the original optimization problem. The general situation in which explicit inequality constraints are present is especially interesting as the vector field has to be discontinuous, and so one is led to consider discontinuous dynamical systems and their equilibria.
- Is Part Of:
- Dynamical systems. Volume 33:Issue 2(2018)
- Journal:
- Dynamical systems
- Issue:
- Volume 33:Issue 2(2018)
- Issue Display:
- Volume 33, Issue 2 (2018)
- Year:
- 2018
- Volume:
- 33
- Issue:
- 2
- Issue Sort Value:
- 2018-0033-0002-0000
- Page Start:
- 207
- Page End:
- 227
- Publication Date:
- 2018-04-03
- Subjects:
- Locally stable equilibria -- local minima -- Filippov solutions -- optimality conditions.
Differentiable dynamical systems -- Periodicals
515.35205 - Journal URLs:
- http://www.tandfonline.com/toc/cdss20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/14689367.2017.1332165 ↗
- Languages:
- English
- ISSNs:
- 1468-9367
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3637.143035
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 6467.xml