How computers compute

Milan Práger; Irena Sýkorová

Pokroky matematiky, fyziky a astronomie (2004)

  • Volume: 49, Issue: 1, page 32-45
  • ISSN: 0032-2423

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Práger, Milan, and Sýkorová, Irena. "Jak počítače počítají." Pokroky matematiky, fyziky a astronomie 49.1 (2004): 32-45. <http://eudml.org/doc/196817>.

@article{Práger2004,
author = {Práger, Milan, Sýkorová, Irena},
journal = {Pokroky matematiky, fyziky a astronomie},
keywords = {representation of real numbers in computers; performing algebraic operations; representation of real numbers in computers; performing algebraic operations},
language = {cze},
number = {1},
pages = {32-45},
publisher = {Jednota českých matematiků a fyziků},
title = {Jak počítače počítají},
url = {http://eudml.org/doc/196817},
volume = {49},
year = {2004},
}

TY - JOUR
AU - Práger, Milan
AU - Sýkorová, Irena
TI - Jak počítače počítají
JO - Pokroky matematiky, fyziky a astronomie
PY - 2004
PB - Jednota českých matematiků a fyziků
VL - 49
IS - 1
SP - 32
EP - 45
LA - cze
KW - representation of real numbers in computers; performing algebraic operations; representation of real numbers in computers; performing algebraic operations
UR - http://eudml.org/doc/196817
ER -

References

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  1. Edelman, A., 10.1137/S0036144595293959, SIAM Review 39 (1997), 54–67. (1997) Zbl1059.68503MR1439485DOI10.1137/S0036144595293959
  2. Hämmerlin, G., Hoffmann, K.- H., Numerical Mathematics, Springer-Verlag, Inc., New York 1991. (1991) Zbl0713.65001MR1088482
  3. GAO Report: Patriot Missile Defense, http://www.fas.org/starwars/gao/im92026.htm 
  4. Goldberg, D., Computer Arithmetic, Kaufmann, San Mateo, CA 1995, second edition. Appendix in [9]. (1995) 
  5. [unknown], IEEE standard for binary floating-point arithmetic: ANSI/IEEE Std 754-1985, 1985. Reprinted in SIGPLAN Notices 22 (2) (1987), 9–25. (1987) Zbl1193.33200
  6. [unknown], IEEE standard for radix-independent floating-point arithmetic: ANSI/IEEE Std 854-987, 1987. (1987) Zbl1193.33200
  7. Křížek, M., Práger, M., Vitásek, E., Spolehlivost numerických výpočtů, PMFA 42 (1997), 8–23. (1997) 
  8. Overton, M. L., Numerical Computing with IEEE Floating Point Arithmetic, SIAM, Philadelphia 2001. (2001) Zbl0981.68057MR1828597
  9. Patterson, D. L., Hennessy, J. L., Computer Architecture: A Quantitative Approach, Kaufmann, San Mateo, CA 1998, second edition. (1998) 
  10. Priest, D. M., Algorithms for arbitrary precision floating point arithmetic, In: P. Kornerup and D. Matula, editors, Proceedings of the 10th Symposium on Computer Arithmetic, 132–143. IEEE Computer Society Press, Piscataway, NJ, 1991. (1991) 
  11. Skeel, R., Roundoff error and the Patriot missile, SIAM News 25 (4), July 1992, 11. http:/www.siam.org/siamnews/general/patriot.htm (1992) 
  12. Smith, D. M., 10.1145/293686.293687, TOMS 24 (1998), 4, též http://www.netlib.org/toms/814 (1998) Zbl0934.65023DOI10.1145/293686.293687
  13. Sterbenz, P., Floating Point Computation, Prentice–Hall, Englewood Cliffs, NJ, 1974. (1974) MR0349062
  14. The Explosion of Ariane 5, http://www.ima.umn.edu/~arnold/disasters/ariane.html 
  15. The Patriot Missile Failure, http://www.ima.umn.edu/~arnold/disasters/patriot.html 
  16. Wilkinson, J. H., Rounding Errors in Algebraic Processes, Her Majesty’s Stationery Office, London 1963. (1963) Zbl1041.65502MR0161456

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