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New Formulae for Multiplication of Intervals

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Reliable Computing

Abstract

The paper treats the problem of interval multiplication for the case where the product interval has to be in affine form. New formulae for multiplication of independent intervals, given in endpoint form or in affine form, are suggested which provide a result without overestimation. The case of multiplication of dependent intervals in affine form is also considered. A new multiplication rule is proposed which leads to smaller overestimation in comparison with other previously known results.

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Article Open access 14 October 2016

Hermann Schichl, Ferenc Domes, … Kevin Kofler

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Authors and Affiliations

  1. Department of Theoretical Electrotechnics, Faculty of Automatica, Technical University of Sofia, 1756, Sofia, Bulgaria

    Lubomir V. Kolev

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  1. Lubomir V. Kolev
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Correspondence to Lubomir V. Kolev.

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Kolev, L.V. New Formulae for Multiplication of Intervals. Reliable Comput 12, 281–292 (2006). https://doi.org/10.1007/s11155-006-9002-9

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  • DOI: https://doi.org/10.1007/s11155-006-9002-9

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