• Alefeld G. 
  • Rohn J. 
  • Rump S. M. 
  • Yamamoto T. 
Conference paper


The usual “implementation” of real numbers as floating point numbers on existing computers has the well-known disadvantage that most of the real numbers are not exactly representable in floating point. Also the four basic arithmetic operations can usually not be performed exactly.


Error Bound Large Problem Geometric Problem Verification Method Point Arithmetic 
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Copyright information

© Springer-Verlag Wien 2001

Authors and Affiliations

  • Alefeld G. 
    • 1
  • Rohn J. 
    • 2
  • Rump S. M. 
    • 3
  • Yamamoto T. 
    • 4
  1. 1.KarlsruheGermany
  2. 2.PragueCzech Republic
  3. 3.HamburgGermany
  4. 4.MatsuyamaJapan

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