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On the Multivariate Horner Scheme II: Running Error Analysis

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Abstract

 As an extension of our previous paper which gave forward and backward error estimates, we perform a running error analysis of the multivariate Horner scheme. This leads to a modified algorithm which computes the value of the polynomial together with an error estimate.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada Universidad de Zaragoza 50009 Zaragoza Spain e-mail: jmpena@posta.unizar.es, , , , , , ES

    J. M. Peña

  2. Institute of Mathematics University Erlangen–Nürnberg D-91054 Erlangen Germany e-mail: sauer@mi.uni-erlangen.de, , , , , , DE

    Thomas Sauer

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  1. J. M. Peña
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  2. Thomas Sauer
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Received November 9, 1999; revised May 29, 2000

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Peña, J., Sauer, T. On the Multivariate Horner Scheme II: Running Error Analysis. Computing 65, 313–322 (2000). https://doi.org/10.1007/s006070070002

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  • DOI: https://doi.org/10.1007/s006070070002

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