| Title:
|
Jak počítače počítají (Czech) |
| Title:
|
How computers compute (English) |
| Author:
|
Práger, Milan |
| Author:
|
Sýkorová, Irena |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
32-45 |
| . |
| Category:
|
math |
| . |
| Keyword:
|
representation of real numbers in computers |
| Keyword:
|
performing algebraic operations |
| MSC:
|
68M07 |
| MSC:
|
68Qxx |
| idZBL:
|
Zbl 1265.68006 |
| . |
| Date available:
|
2010-12-11T20:17:18Z |
| Last updated:
|
2015-11-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141207 |
| . |
| Reference:
|
[1] Edelman, A.: The mathematics of the Pentium division bug.SIAM Review 39 (1997), 54–67. Zbl 1059.68503, MR 1439485, 10.1137/S0036144595293959 |
| Reference:
|
[2] Hämmerlin, G., Hoffmann, K.- H.: Numerical Mathematics.Springer-Verlag, Inc., New York 1991. MR 1088482 |
| Reference:
|
[3] : GAO Report: Patriot Missile Defense.http://www.fas.org/starwars/gao/im92026.htm |
| Reference:
|
[4] Goldberg, D.: Computer Arithmetic.Kaufmann, San Mateo, CA 1995, second edition. Appendix in [9]. |
| Reference:
|
[5] : .IEEE standard for binary floating-point arithmetic: ANSI/IEEE Std 754-1985, 1985. Reprinted in SIGPLAN Notices 22 (2) (1987), 9–25. Zbl 1193.33200 |
| Reference:
|
[6] : .IEEE standard for radix-independent floating-point arithmetic: ANSI/IEEE Std 854-987, 1987. Zbl 1193.33200 |
| Reference:
|
[7] Křížek, M., Práger, M., Vitásek, E.: Spolehlivost numerických výpočtů.PMFA 42 (1997), 8–23. |
| Reference:
|
[8] Overton, M. L.: Numerical Computing with IEEE Floating Point Arithmetic.SIAM, Philadelphia 2001. Zbl 0981.68057, MR 1828597 |
| Reference:
|
[9] Patterson, D. L., Hennessy, J. L.: Computer Architecture: A Quantitative Approach.Kaufmann, San Mateo, CA 1998, second edition. |
| Reference:
|
[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. |
| Reference:
|
[11] Skeel, R.: Roundoff error and the Patriot missile.SIAM News 25 (4), July 1992, 11. http:/www.siam.org/siamnews/general/patriot.htm |
| Reference:
|
[12] Smith, D. M.: Multiple Precision Complex Arithmetic and Functions.TOMS 24 (1998), 4, též http://www.netlib.org/toms/814 Zbl 0934.65023, 10.1145/293686.293687 |
| Reference:
|
[13] Sterbenz, P.: Floating Point Computation.Prentice–Hall, Englewood Cliffs, NJ, 1974. MR 0349062 |
| Reference:
|
[14] : The Explosion of Ariane 5.http://www.ima.umn.edu/~arnold/disasters/ariane.html |
| Reference:
|
[15] : The Patriot Missile Failure.http://www.ima.umn.edu/~arnold/disasters/patriot.html |
| Reference:
|
[16] Wilkinson, J. H.: Rounding Errors in Algebraic Processes.Her Majesty’s Stationery Office, London 1963. Zbl 1041.65502, MR 0161456 |
| . |
