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A finite characterization of K -matrices in dimensions less than four
dc.contributor.authorFredricksen, John T.en_US
dc.contributor.authorWatson, Layne Terryen_US
dc.contributor.authorMurty, Katta G.en_US
dc.date.accessioned2006-09-11T19:32:42Z
dc.date.available2006-09-11T19:32:42Z
dc.date.issued1986-05en_US
dc.identifier.citationFredricksen, John T.; Watson, Layne T.; Murty, Katta G.; (1986). "A finite characterization of K -matrices in dimensions less than four." Mathematical Programming 35(1): 17-31. <http://hdl.handle.net/2027.42/47913>en_US
dc.identifier.issn0025-5610en_US
dc.identifier.issn1436-4646en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/47913
dc.description.abstractThe class of real n × n matrices M , known as K -matrices, for which the linear complementarity problem w − Mz = q, w ≥ 0, z ≥ 0, w T z =0 has a solution whenever w − Mz =q, w ≥ 0, z ≥ 0 has a solution is characterized for dimensions n <4. The characterization is finite and ‘practical’. Several necessary conditions, sufficient conditions, and counterexamples pertaining to K -matrices are also given. A finite characterization of completely K -matrices ( K -matrices all of whose principal submatrices are also K -matrices) is proved for dimensions <4.en_US
dc.format.extent727086 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; The Mathematical Programming Society, Inc.en_US
dc.subject.otherK -Matrixen_US
dc.subject.otherFinite Characterizationen_US
dc.subject.otherQ 0 -Matrixen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherOperation Research/Decision Theoryen_US
dc.subject.otherQ -Matrixen_US
dc.subject.otherNumerical Analysisen_US
dc.subject.otherMathematics of Computingen_US
dc.subject.otherCombinatoricsen_US
dc.subject.otherCalculus of Variations and Optimal Controlen_US
dc.subject.otherLinear Complementarity Problemen_US
dc.subject.otherNumerical and Computational Methodsen_US
dc.subject.otherOptimizationen_US
dc.subject.otherMathematicsen_US
dc.subject.otherMathematical Methods in Physicsen_US
dc.titleA finite characterization of K -matrices in dimensions less than fouren_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Industrial and Operations Engineering, University of Michigan, 48109, Ann Arbor, MI, USAen_US
dc.contributor.affiliationotherDepartment of Computer Science, Virginia Polytechnic Institute and State University, 24061, Blacksburg, VA, USAen_US
dc.contributor.affiliationotherAmdahl Corporation, 1250 East Arques Avenue, 94088-3470, Sunnyvale, CA, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/47913/1/10107_2005_Article_BF01589438.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01589438en_US
dc.identifier.sourceMathematical Programmingen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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