Skip to main content

Order Complementarity

  • Reference work entry
Encyclopedia of Optimization
  • 95 Accesses

Article Outline

Keywords

Preliminaries

Order Complementarity Problems

Order Complementarity Problem as Mathematical Model

  Order Complementarity Problem as Mathematical Model

  Global Reproduction of an Economic System Working with Several Technologies

  Discrete Dynamic Complementarity Problem

Solution Methods

See also

References

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 2,500.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 2,499.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Bellman R (1958) On a routing problem. Quart Appl Math 16:87–90

    MathSciNet  MATH  Google Scholar 

  2. Borwein JM, Dempster MAH (1989) The linear order complementarity problem. Math Oper Res 14:534–558

    MathSciNet  Google Scholar 

  3. Carbone A, Isac G (1998) The generalized order complementarity problem: Applications to economics and an existence result. Nonlinear Stud 5(2):129–151

    MathSciNet  Google Scholar 

  4. Cottle RW, Dantzig GB (1970) A generalization of the linear complementarity problem. J Combin Th 8:79–90

    MathSciNet  MATH  Google Scholar 

  5. Ebiefung AA (1991) The generalized linear complementarity problem and its applications. PhD Thesis, Clemson University

    Google Scholar 

  6. Ebiefung AA (1995) Nonlinear mappings associated with the generalized linear complementarity problem. Math Program 69:225–268

    MathSciNet  Google Scholar 

  7. Ebiefung AA, Kostreva M (1993) The generalized Leontief input-output model and its application to the choice of new technology. Ann Oper Res 44:161–172

    MathSciNet  MATH  Google Scholar 

  8. Gowda MS (1993) Applications of degree theory to linear complementarity problems. Math Oper Res 18:868–879

    MathSciNet  MATH  Google Scholar 

  9. Gowda MS, Sznajder R (1994) The generalized order linear complementarity problem. SIAM J Matrix Anal Appl 15(3):779–795

    MathSciNet  MATH  Google Scholar 

  10. Harrison JM, Reiman MI (1981) Reflected Brownian motion on an orthant. Ann of Probab 9:302–308

    MathSciNet  MATH  Google Scholar 

  11. Hyers DH, Isac G, Rassias TM (1997) Topics in nonlinear analysis and applications. World Sci., Singapore

    MATH  Google Scholar 

  12. Isac G (1986) Complementarity problem and coincidence equations on convex cones. Boll Unione Mat Ital Ser B 6:925–943

    MathSciNet  Google Scholar 

  13. Isac G (1992) Complementarity problems. Lecture Notes Math, vol 1528. Springer, Berlin

    MATH  Google Scholar 

  14. Isac G (1992) Iterative methods for the general order complementarity problem. In: Singh SP (ed) Approximation Theory, Spline Functions and Applications. Kluwer, Dordrecht, pp 365–380

    Google Scholar 

  15. Isac G (1996) The fold complementarity problem and the order complementarity problem. Topol Meth Nonlinear Anal 8:343–358

    MathSciNet  MATH  Google Scholar 

  16. Isac G, Goeleven D (1993) The implicit general order complementarity problem: models and iterative methods. Ann Oper Res 44:63–92

    MathSciNet  MATH  Google Scholar 

  17. Isac G, Kostreva M (1991) The generalized order complementarity problem. J Optim Th Appl 71(3):517–534

    MathSciNet  MATH  Google Scholar 

  18. Isac G, Kostreva M (1991) Kneser's theorem and the multivalued generalized order complementarity. Appl Math Lett 4(6):81–85

    MathSciNet  MATH  Google Scholar 

  19. Isac G, Kostreva M (1996) The implicit generalized order complementarity problem and Leontief's input-output model. Appl Math 24(2):113–125

    MathSciNet  MATH  Google Scholar 

  20. Mandelbaum A (1990) The dynamic complementarity problem. Working Paper, Stanford Business School

    Google Scholar 

  21. Oh KP (1984) The numerical solution of dynamically loaded elasto-hydro-dynamic contact as a nonlinear complementarity problem. J Tribology 106:88–95

    Google Scholar 

  22. Oh KP (1986) The formulation of the mixed lubrication problem as a generalized nonlinear complementarity problem. J Tribology 108:598604

    Google Scholar 

  23. Opoitsev VI (1979) a generalization of the theory of monotone and concave operators. Trans Moscow, Math Soc 2:243–279

    Google Scholar 

  24. Szand BP (1989) The generalized complementarity problem. PhD Thesis, Rensselaer Polytech. Institute, Troy, New York

    Google Scholar 

  25. Sznajder R (1994) Degree theoretic analysis of the vertical and horizontal linear complementarity problem. PhD Thesis, University Maryland

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag

About this entry

Cite this entry

Isac, G. (2008). Order Complementarity . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_492

Download citation

Publish with us

Policies and ethics