Revision as of 15:51, 10 November 2010 edit Kiefer.Wolfowitz (talk \| contribs) 39,688 edits →External links: [http://glossary.computing.society.informs.org/second.php?page=S.html#Semi-infinite_program Description of semi-infinite programming from INFORMS (Institute for Operations Researc ← Previous edit		Revision as of 02:48, 2 September 2011 edit undo Headbomb (talk \| contribs) Edit filter managers, Autopatrolled, Extended confirmed users, Page movers, File movers, New page reviewers, Pending changes reviewers, Rollbackers, Template editors 473,360 edits m Various citation cleanup (identifiers mostly), replaced: \|url=http://www.jstor.org/stable/2132425 → \|jstor=2132425 (2), }}.{{jstor\|2132425}} → }} \| jstor = 2132425 (2), \|id={{MR\|1756264}} → \|mr=1756264 (4) using AWB Next edit →
Line 1: In [[optimization (mathematics)\|optimization theory]], '''semi-infinite programming''' ('''SIP''') is an [[optimization problem]] with a finite number of variables and an infinite number of constraints, or an infinite number of variables and a finite number of constraints. In the former case the constraints are typically parameterized.<ref> * {{cite book\|last1=Bonnans\|first1=J. Frédéric\|last2=Shapiro\|first2=Alexander\|chapter=5.4 and 7.4.4 Semi-infinite programming\|title=Perturbation analysis of optimization problems\|series=Springer Series in Operations Research\|publisher=Springer-Verlag\|___location=New York\|year=2000\|pages=496–526 and 581\|isbn=0-387-98705-3\|idmr=~~{{MR\|~~1756264~~}}\|~~}} * M. A. Goberna and M. A. López, ''Linear Semi-Infinite Optimization'', Wiley, 1998. * {{cite article\|last1=Hettich\|first1=R.\|last2=Kortanek\|first2=K. O.\|title=Semi-infinite programming: Theory, methods, and applications\|~~url~~jstor=~~http://www.jstor.org/stable/~~2132425\|journal=SIAM Review\|volume=35\|year=1993\|number=3\|pages=380–429\|doi=http://dx.doi.org/10.1137/1035089\|idmr=~~{{MR~~1234637 \|~~1234637}}.{{~~ jstor\| = 2132425~~}}\|~~}} </ref> Line 35: * Edward J. Anderson and Peter Nash, ''Linear Programming in Infinite-Dimensional Spaces'', Wiley, 1987. * {{cite book\|last1=Bonnans\|first1=J. Frédéric\|last2=Shapiro\|first2=Alexander\|chapter=5.4 and 7.4.4 Semi-infinite programming\|title=Perturbation analysis of optimization problems\|series=Springer Series in Operations Research\|publisher=Springer-Verlag\|___location=New York\|year=2000\|pages=496–526 and 581\|isbn=0-387-98705-3\|idmr=~~{{MR\|~~1756264~~}}\|~~}} * M. A. Goberna and M. A. López, ''Linear Semi-Infinite Optimization'', Wiley, 1998. * {{cite article\|last1=Hettich\|first1=R.\|last2=Kortanek\|first2=K. O.\|title=Semi-infinite programming: Theory, methods, and applications\|~~url~~jstor=~~http://www.jstor.org/stable/~~2132425\|journal=SIAM Review\|volume=35\|year=1993\|number=3\|pages=380–429\|doi=http://dx.doi.org/10.1137/1035089\|idmr=~~{{MR~~1234637 \|~~1234637}}.{{~~ jstor\| = 2132425~~}}\|~~}} * David Luenberger (1997). ''Optimization by Vector Space Methods.'' John Wiley & Sons. ISBN 0-471-18117-X. * Rembert Reemtsen and Jan-J. Rückmann (Editors), ''Semi-Infinite Programming (Nonconvex Optimization and Its Applications)''. Springer, 1998, ISBN 07923505451998 Line 44: * [http://glossary.computing.society.informs.org/second.php?page=S.html#Semi-infinite_program Description of semi-infinite programming from INFORMS (Institute for Operations Research and Management Science)]. {{Mathapplied-stub}}▼ [[Category:Optimization in vector spaces]] [[Category:Approximation theory]] [[Category:Numerical analysis]] ▲{{Mathapplied-stub}}

Semi-infinite programming: Difference between revisions