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Strict estimation of the maximum of a function of one variable

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Abstract

We describe an algorithm for the strict estimation of max x∈I f(x) whenf is analytic onI. If roundoff is neglected the error bound can be made arbitrarily small by an adaptive implementation. A majorant concept is utilized and an Algol program is given. Finally we outline the special application to the strict estimation of the range of a polynomial without any determination of the zeros of the derivative.

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Authors and Affiliations

  1. Research Institute Of National Defence, S-104 50, Stockholm 80, Sweden

    Torsten Ström

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  1. Torsten Ström
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Ström, T. Strict estimation of the maximum of a function of one variable. BIT 11, 199–211 (1971). https://doi.org/10.1007/BF01934369

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  • DOI: https://doi.org/10.1007/BF01934369

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