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A theorem on the extremum of a nonnegative bounded function

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Abstract

Using perturbation formulas for eigenvalues of linear operators, an equation is obtained for the extremal values of certain nonnegative bounded functions. Formulas are obtained for the derivative of regularizing maximal eigenvalues of matrices which depend on a parameter.

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Authors and Affiliations

  1. Kiev State University, Kiev

    V. L. Girko & R. T. Mysak

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  1. V. L. Girko
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  2. R. T. Mysak
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Translated fromVychislitel'naya i Prikladnaya Matematika, No. 69, pp. 3–7, 1989.

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Girko, V.L., Mysak, R.T. A theorem on the extremum of a nonnegative bounded function. J Math Sci 67, 3031–3034 (1993). https://doi.org/10.1007/BF01098135

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  • DOI: https://doi.org/10.1007/BF01098135

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