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Variable-Metric Discrete Extragradient Method for Saddle-Point Problems

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The article considers a variable-metric discrete extragradient method to find a saddle point. The method converges in the argument to the set of saddle points.

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References

  1. G. M. Korpelevich, “Extragradient method of finding saddle points and other problems,” Ekon. Mat. Metody, 12, No. 4, 747–756 (1976).

    MATH  MathSciNet  Google Scholar 

  2. A. S. Antipin, L. A. Artem’eva, and F. P. Vasil’ev, “Multiple-criterion equilibrium programming: extragradient method,” Zh. Vychisl. Mat. i Matem. Fiz., 50, No. 2, 234–241 (2010).

    MATH  MathSciNet  Google Scholar 

  3. F. P. Vasil’ev, Optimization Methods [in Russian], Faktorial Press, Moscow (2002).

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  4. A. S. Antipin, “Equilibrium programming: gradient type methods,” Avtomat. Telemekh., No. 8, 125–137 (1997).

  5. J. E. Dennis, Jr. and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations [Russian translation], Mir, Moscow (1988).

    Google Scholar 

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Correspondence to B. A. Budak.

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Translated from Prikladnaya Matematika i Informatika, No. 45, 2014, pp. 84–92.

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Budak, B.A., Nichiporchuk, A. Variable-Metric Discrete Extragradient Method for Saddle-Point Problems. Comput Math Model 26, 204–212 (2015). https://doi.org/10.1007/s10598-015-9268-z

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  • DOI: https://doi.org/10.1007/s10598-015-9268-z

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