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A Strong and Easily Computable Separation Bound for Arithmetic Expressions Involving Radicals

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Abstract.

We consider arithmetic expressions over operators + , - , * , / , and \(\sqrt[k]\) , with integer operands. For an expression E having value ξ , a separation bound sep (E) is a positive real number with the property that ξ\neq 0 implies |ξ| \geq sep (E) . We propose a new separation bound that is easy to compute and stronger than previous bounds.

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Authors and Affiliations

  1. Max-Planck-Institut für Informatik, Im Stadtwald, 66123 Saarbrücken, Germany. burnikel@mpi-sb.mpg.de, rudolf@mpi-sb.mpg.de, mehlhorn@mpi-sb.mpg.de, stschirr@mpi-sb.mpg.de., , , , , , DE

    C. Burnikel, R. Fleischer, K. Mehlhorn & S. Schirra

Authors
  1. C. Burnikel
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  2. R. Fleischer
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  3. K. Mehlhorn
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  4. S. Schirra
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Received February 24, 1997; revised August 3, 1998.

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Burnikel, C., Fleischer, R., Mehlhorn, K. et al. A Strong and Easily Computable Separation Bound for Arithmetic Expressions Involving Radicals. Algorithmica 27, 87–99 (2000). https://doi.org/10.1007/s004530010005

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  • DOI: https://doi.org/10.1007/s004530010005

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