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Residuenabschätzung für Polynom-Nullstellen mittels Lagrange-Interpolation

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Summary

If, for each zero of a polynomial, an approximation is known, estimates for the errors of these approximations are given, based on the evaluation of the polynomial at these points. The procedure can be carried over to the case of multiple roots and root clusters using derivatives up to the orderk - 1, wherek is the multiplicity of the cluster.

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Literatur

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Authors and Affiliations

  1. Institut für angewandte Mathematik, Johannes Gutenberg-Universität, Postfach 3980, 6500, Mainz

    Wolfgang Börsch-supan

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  1. Wolfgang Börsch-supan
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Börsch-supan, W. Residuenabschätzung für Polynom-Nullstellen mittels Lagrange-Interpolation. Numer. Math. 14, 287–296 (1970). https://doi.org/10.1007/BF02163336

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  • DOI: https://doi.org/10.1007/BF02163336

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