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Error-free computation with rational numbers

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Publication:1050089
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DOI10.1007/BF01933164zbMath0512.65035MaRDI QIDQ1050089

R. T. Gregory

Publication date: 1981

Published in: BIT (Search for Journal in Brave)


zbMATH Keywords

rounding errorsinteger arithmeticrational numberserror-free computationill- conditioned problems21, 194-202 (1981)


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Roundoff error (65G50) Algorithms for approximation of functions (65D15)


Related Items

Implementing Data Parallel Rational Multiple-Residue Arithmetic in Eden ⋮ Mapping integers and Hensel codes onto Farey fractions ⋮ Algebraic approach to p-adic conversion of rational numbers



Cites Work

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  • Residue Arithmetic Algorithms for Exact Computation ofg-Inverses of Matrices
  • Congruence Techniques for the Exact Solution of Integer Systems of Linear Equations
  • Exact Solutions of Linear Equations with Rational Coefficients by Congruence Techniques
  • Solving equations exactly
  • An algorithm for solving linear algebraic equations using residue arithmetic I
  • Solving linear equations using residue arithmetic — Algorithm II
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