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Exact computation of the sign of a finite sum

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Publication:1294292
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DOI10.1016/S0096-3003(98)00010-1zbMath0936.65005OpenAlexW2032762786MaRDI QIDQ1294292

H. Ratschek, Jon G. Rokne

Publication date: 3 May 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)00010-1


zbMATH Keywords

exact sumsgeometric computationsrounding error free algorithmssign of a finite sum


Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Software, source code, etc. for problems pertaining to geometry (51-04) Numerical summation of series (65B10)


Related Items (3)

EXACT AND OPTIMAL CONVEX HULLS IN 2D ⋮ AN EXPLICIT SOLUTION FOR COMPUTING THE VERTICES OF THE EUCLIDEAN d-DIMENSIONAL VORONOI DIAGRAM OF SPHERES IN A FLOATING-POINT ARITHMETIC ⋮ Line segment intersection testing


Uses Software

  • BIGNUM


Cites Work

  • Unnamed Item
  • Unnamed Item
  • An efficient and numerically correct algorithm for the 2D convex hull problem
  • Axioms and hulls
  • Numerical stability of a convex hull algorithm for simple polygons
  • Computing convex hull in a floating point arithmetic
  • The Accuracy of Floating Point Summation
  • On Floating-Point Summation


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