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A class of continuous quadratic programming problems

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Summary

The present paper deals with some duality relations of a class of continuous quadratic programming problems. The analysis is developed by use of technique ofDorn for quadratic programming problems.

Zusammenfassung

Die vorliegende Arbeit beschäftigt sich mit verschiedenen Dualitätsrelationen für eine Klasse von stetigen quadratischen Optimierungsproblemen. Die Untersuchung basiert auf einem vonDorn entwickelten Verfahren für quadratische Optimierungsprobleme.

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References

  • Bellman, R.: Dynamic Programming, Princeton University Press, Princeton, 1957.

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  • Dorn, W. S.: Duality in Quadratic Programming, Quart. App. Math.,18, 1960.

  • Levinson, N.: A class of Continuous Linear Programming Problems, J. Math. and Appli.,16, No. 1, Oct. 1966.

  • Tyndall, W. F.: A duality theory for a class of continuous linear programming problems, J. Soc. Ind. App. Math.,13, 1965.

  • --: An extended duality theorem for continuous programming problem, J. Soc. Ind. App. Math.,15, No. 5, 1967.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Kanpur, India

    N. K. Gogia & R. P. Gupta

Authors
  1. N. K. Gogia
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  2. R. P. Gupta
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Gogia, N.K., Gupta, R.P. A class of continuous quadratic programming problems. Unternehmensforschung Operations Research 14, 220–227 (1970). https://doi.org/10.1007/BF01918268

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  • DOI: https://doi.org/10.1007/BF01918268

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