Linear complementarity problem: Difference between revisions

Revision as of 16:26, 19 February 2011

Revision as of 23:50, 22 March 2011

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* {{cite book|last1=Cottle|first1=Richard W.|last2=Pang|first2=Jong-Shi|last3=Stone|first3=Richard E.|title=The linear complementarity problem | series=Computer Science and Scientific Computing|publisher=Academic Press, Inc.|___location=Boston, MA|year=1992|pages=xxiv+762 pp.|isbn=0-12-192350-9}} {{MR|1150683}}

* R. W. Cottle and [[G. B. Dantzig]]. Complementary pivot theory of mathematical programming. ''Linear Algebra and its Applications'', 1:103-125, 1968.

* {{cite journal|last1=Fukuda|first1=Komei|authorlink1=Komei Fukuda|last2=Namiki|first2=Makoto|title=On extremal behaviors of Murty's least index method|journal=Mathematical Programming|year=1994|month=March|pages=365–370|volume=64|number=1|url=http://dx.doi.org/10.1007/BF01582581|doi=10.1007/BF01582581|ref=harv|MR=1286455|}}

* {{cite book|last=Murty|first=K. G.|title=Linear complementarity, linear and nonlinear programming|series=Sigma Series in Applied Mathematics|volume=3|publisher=Heldermann Verlag|___location=Berlin|year=1988|pages=xlviii+629 pp.|isbn=3-88538-403-5|url=http://ioe.engin.umich.edu/people/fac/books/murty/linear_complementarity_webbook/ }} (Available for download at the website of Professor [http://www-personal.umich.edu/~murty/ Katta G. Murty].) {{MR|949214}}

* {{cite journal|first1=Komei|last1=Fukuda|<!-- authorlink1=Komei Fukuda -->|first2=Tamás|last2=Terlaky|<!-- authorlink2=Tamás Terlaky -->|title=Criss-cross methods: A fresh view on pivot algorithms |url=http://dx.doi.org/10.1007/BF02614325|journal=Mathematical Programming: Series&nbsp;B|volume=79

|number=1—3|pages=369—395|issue=Papers from the&nbsp;16th International Symposium on Mathematical Programming held in Lausanne,&nbsp;1997|editors=Thomas&nbsp;M. Liebling and Dominique de&nbsp;Werra|publisher=North-Holland Publishing&nbsp;Co. |___location=Amsterdam|year=1997|doi=10.1016/S0025-5610(97)00062-2|MR=1464775|ref=harv|id=[http://www.cas.mcmaster.ca/~terlaky/files/crisscross.ps Postscript preprint]|}}

* {{cite journal|last1=Terlaky|first1=Tamás|<!-- authorlink1=Tamás Terlaky -->|last2=Zhang|first2=Shu&nbsp;Zhong|title=Pivot rules for linear programming: A Survey on recent theoretical developments|issue=Degeneracy in optimization problems|journal=Annals of Operations Research|volume=46–47|year=1993|number=1|pages=203–233|doi=10.1007/BF02096264|url=http://dx.doi.org/10.1007/BF02096264|MR=1260019|id=[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.36.7658&rep=rep1&type=pdf PDF file of (1991) preprint]|publisher=Springer Netherlands|issn=0254-5330|ref=harv}}

== External links ==