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Extremality of stochastic matrices in nonusual cones

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Abstract

The set of doubly stochastic matrices can be regarded as a set in a cone. Thus, one can perturb the cone in different ways, in such a way that it is important to characterize the new extremals. In addition, we study some special families of cones obtaining the corresponding extremals.

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References

  1. Brualdi, R. A., andCsima, J.,Extremals Plane Stochastic Matrices, Linear Algebra and Applications, Vol. 11, pp. 105–133, 1960.

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Authors and Affiliations

  1. Institute of Applied Mathematics San Luis, CONICET and National University of San Luis, San Luis, Argentina

    E. Marchi (Director), A. Neme (Associate Professor) & P. Tarazaga (Professor)

  2. University of Barcelona, Barcelona, Spain

    E. Marchi (Director)

Authors
  1. E. Marchi
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  2. A. Neme
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  3. P. Tarazaga
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Additional information

Communicated by G. Leitmann

This paper has been supported by a grant from CONICET, Buenos Aires, Argentina.

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Marchi, E., Neme, A. & Tarazaga, P. Extremality of stochastic matrices in nonusual cones. J Optim Theory Appl 66, 47–59 (1990). https://doi.org/10.1007/BF00940532

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  • DOI: https://doi.org/10.1007/BF00940532

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