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On the continuity of the minimum in parametric quadratic programs

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Abstract

This paper establishes results on the lower semicontinuity and continuity of the optimal objective value of a parametric quadratic program with continuous dependence of the coefficients on parameters. The results established herein generalize directly well-known results on parametric linear programs.

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References

  1. Martin, D. H.,On the Continuity of the Maximum in Parametric Linear Programming, Journal of Optimization Theory and Applications, Vol. 17, pp. 205–210, 1975.

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  2. Best, M. J., andChakravarti, N.,Stability of Linearly Constrained Convex Quadratic Programs, Journal of Optimization Theory and Applications, Vol. 64, pp. 43–53, 1990.

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  3. Bank, B., Guddat, J., Klatte, D., Kummer, B., andTammer, K.,Nonlinear Parametric Optimization, Akademie Verlag, Berlin, Germany, 1982.

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Communicated by R. A. Tapia

This research was supported by the Natural Sciences and Engineering Research Council of Canada under Grant No. A8189.

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Best, M.J., Ding, B. On the continuity of the minimum in parametric quadratic programs. J Optim Theory Appl 86, 245–250 (1995). https://doi.org/10.1007/BF02193469

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  • DOI: https://doi.org/10.1007/BF02193469

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