Advanced search
Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 57, 2008 - Issue 2: In Celebration of Prof. Dr Dr H. Th. Jongen's 60th Birthday, Guest Editors: Diethard Pallaschke and Oliver Stein
Submit an article Journal homepage
61
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Linear representations and quasipolyhedrality of a finite-valued convex function

M.D. Fajardo Faculty of Sciences, Department of Statistics and Operations Research, University of Alicante, Alicante, SpainCorrespondence[email protected]
,
M.A. Lopez Faculty of Sciences, Department of Statistics and Operations Research, University of Alicante, Alicante, Spain
&
R. Puente Faculty of Physical, Mathematical, and Natural Sciences, Department of Mathematics, National University of San Luis, San Luis, Argentina
Pages 215-237 | Received 29 Sep 2006, Accepted 20 Mar 2007, Published online: 27 Oct 2009

References

  • Anderson , EJ , Goberna , MA and López , MA . 1998 . Locally polyhedral linear inequality systems . Lin. Alg. Appl. , 270 : 231 – 253 .
  • Anderson , EJ , Goberna , MA and López , MA . 2001 . Simplex-like trajectories on quasipolyhedral sets . Math. Oper. Res. , 26 : 147 – 162 .
  • Auslender , A and Teboulle , M . 2003 . Asymptotic Cones and Functions in Optimization and Variational Inequalities , New York : Springer Verlag .
  • Brønsted , A . 1983 . An Introduction to Convex Polytopes , New York : Springer Verlag .
  • Cernikov , SN . 1968 . Linear Inequalities , Moskow : Nauka .
  • Fajardo , MD and López , MA . 1999 . Locally Farkas-Minkowski systems in convex semi-infinite programming . J. Optim. Theo. Appl. , 103 ( 2 ) : 313 – 335 .
  • Goberna , MA and López , MA . 1998 . Linear Semi-Infinite Optimization , Chichester, , England : John Wiley and Sons .
  • Hiriart-Urruty , JB and Lemarechal , C . 1991 . Convex Analysis and Minimization Algorithms , Vol. I , New York : Springer Verlag .
  • Phelps , RR . 1993 . “ Convex Functions ” . In Monotone Operators and Differentiabitity , New York : Springer Verlag .
  • Puente , R and Vera de Serio , V . 1999 . Locally Farkas-Minkowski linear semi-infinite systems . TOP , 7 : 103 – 121 .
  • Rockafellar , RT . 1970 . Convex Analysis , Princeton, New Jersey : Princeton University Press .
  • Zhu , YJ . 1966 . Generalizations of some fundamental theorems on linear inequalities . Acta Math. Sinica , 16 : 25 – 40 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.