On minimax optimization problems
dc.contributor.author | Drezner, Zvi | en_US |
dc.date.accessioned | 2006-09-11T19:32:25Z | |
dc.date.available | 2006-09-11T19:32:25Z | |
dc.date.issued | 1982-12 | en_US |
dc.identifier.citation | Drezner, Zvi; (1982). "On minimax optimization problems." Mathematical Programming 22(1): 227-230. <http://hdl.handle.net/2027.42/47909> | en_US |
dc.identifier.issn | 1436-4646 | en_US |
dc.identifier.issn | 0025-5610 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/47909 | |
dc.description.abstract | We give a short proof that in a convex minimax optimization problem in k dimensions there exist a subset of k + 1 functions such that a solution to the minimax problem with those k + 1 functions is a solution to the minimax problem with all functions. We show that convexity is necessary, and prove a similar theorem for stationary points when the functions are not necessarily convex but the gradient exists for each function. | en_US |
dc.format.extent | 172472 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag; The Mathematical Programming Society, Inc. | en_US |
dc.subject.other | Mathematics | en_US |
dc.subject.other | Combinatorics | en_US |
dc.subject.other | Numerical Analysis | en_US |
dc.subject.other | Mathematics of Computing | en_US |
dc.subject.other | Operation Research/Decision Theory | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Minimax | en_US |
dc.subject.other | Mathematical Methods in Physics | en_US |
dc.subject.other | Numerical and Computational Methods | en_US |
dc.subject.other | Stationary Points | en_US |
dc.subject.other | Nonconvex Optimization | en_US |
dc.subject.other | Calculus of Variations and Optimal Control | en_US |
dc.subject.other | Optimization | en_US |
dc.title | On minimax optimization problems | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | School of Management, The University of Michigan-Dearborn, Dearborn, MI, USA | en_US |
dc.contributor.affiliationumcampus | Dearborn | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/47909/1/10107_2005_Article_BF01581038.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01581038 | en_US |
dc.identifier.source | Mathematical Programming | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.