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International Journal of Computer Mathematics Volume 84, 2007 - Issue 3
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Original Articles

Solution of parametric vertical block linear complementarity problems

B. Chakraborty Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, IndiaView further author information
,
M. P. Biswal Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, IndiaCorrespondence[email protected]
&
S. Nanda Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, India
Pages 325-332 | Received 09 Nov 2005, Accepted 13 Nov 2006, Published online: 17 May 2007

References

  • Billups , S. C. and Murty , K. G. 2000 . Complementarity problems . Journal of Computational and Applied Mathematics , 124 : 303 – 318 .
  • Cottle , R. W. , Pang , J. S. and Stone , R. E. 1992 . The Linear Complimentarity Problem , New York : Academic Press .
  • Murty , K. G. 1988 . Linear Complementarity, Linear and NonLinear Programming , Berlin : Heldermann .
  • Cottle , R. W. and Dantzig , G. B. 1970 . A generalization of the linear complementarity problem . Journal of Combinatorial Theory , 8 : 79 – 90 .
  • Szane , B. P. 1989 . “ The generalized complementarity problem ” . Troy, NY : Rensselaer Polytechnic Institute . PhD thesis
  • Ebiefung , A. A. and Kostreva , M. M. 1992 . “ Global solvability of generalized linear complementarity problems and related class of polynomial complementarity problems ” . In Recent Advances in Global Optimization , Edited by: Floudas , C. and Pardalos , P. Princeton, NJ : University of Princeton .
  • Ebiefung , A. A. 1995 . Existence theory and Q-matrix characterization for the generalized linear complementarity problem . Linear Algebra and Its Applications , 223/224 : 155 – 169 .
  • Mangasarian , O. L. 1979 . Generalized linear complementarity problems as linear programs . Operations Research Verfahren , 31 : 393 – 402 .
  • Chakraborty , B. , Nanda , S. and Biswal , M. P. 2004 . On the solution of parametric linear complementarity problems . International Journal of Pure and Applied Mathematics , 17 : 9 – 18 .
  • Cottle , R. W. 1972 . Monotone solutions of the parametric linear complimentarity problem . Mathematical Programming , 3 : 210 – 224 .
  • Xiao , B. and Harker , P. T. 1988 . “ The stochastic linear complementarity problem ” . Philadelphia, PA : The Wharton School, University of Pennsylvania . Working Paper 88-05-04, Decision Sciences Department
  • Xiao , B. and Harker , P. T. 1989 . Perturbation results for the linear complementarity problem . Applied Mathematics Letters , 2 : 401 – 405 .
  • Xiao , B. 1995 . The linear complementarity problem with a parametric input . European Journal of Operational Research , 81 : 420 – 429 .
  • Gailly , B. , Installe , M. and Smeers , Y. 2001 . A new resolution method for the parametric linear complimentarity problem . European Journal of Operational Research , 128 : 639 – 646 .

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