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An approach to determining Shor’s dual quadratic estimates

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Abstract

For a general quadratic problem, an analog is formulated as a homogeneous quadratic problem. The estimates ψ* constructed based on Shor’s dual quadratic estimates for these problems are proved to be equal. It is shown that, for the case of a homogeneous quadratic problem, finding ψ* is reduced to an unconstraint minimization problem for a convex function.

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References

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    O. A. Berezovskii & P. I. Stetsyuk

Authors
  1. O. A. Berezovskii
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  2. P. I. Stetsyuk
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Corresponding author

Correspondence to P. I. Stetsyuk.

Additional information

The study was partially sponsored by the grant UKM2-2812-KV-06 (CRDF Cooperative Grants Program).

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Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 89–99, March–April 2008.

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Berezovskii, O.A., Stetsyuk, P.I. An approach to determining Shor’s dual quadratic estimates. Cybern Syst Anal 44, 225–233 (2008). https://doi.org/10.1007/s10559-008-0022-9

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  • DOI: https://doi.org/10.1007/s10559-008-0022-9

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