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A stable method for the evaluation of a polynomial and of a rational function of one variable

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Publication:1166888
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DOI10.1007/BF01418328zbMath0489.65015OpenAlexW2025341733MaRDI QIDQ1166888

Abraham Ziv

Publication date: 1983

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132852


zbMATH Keywords

rational functionsnumerical stabilityevaluation of a polynomialHorner's rule


Mathematics Subject Classification ID

Roundoff error (65G50) Algorithms for approximation of functions (65D15)


Related Items (1)

Converting Approximate Error Bounds into Exact Ones



Cites Work

  • Error analysis for polynomial and Fourier series evaluation
  • Relative Distance--An Error Measure in Round-Off Error Analysis
  • Error Analysis for Polynomial Evaluation
  • An Error Analysis of the Modified Clenshaw Method for Evaluating Chebyshev and Fourier Series
  • Stable evaluation of polynomials
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