On the genericity of the modular polynomial GCD algorithm

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On the genericity of the modular polynomial GCD algorithm

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1999 international symposium on Symbolic and algebraic computation table of contents

Vancouver, British Columbia, Canada

Pages: 59 - 66

Year of Publication: 1999

ISBN:1-58113-073-2

Authors

Erich Kaltofen	North Carolina State University, Mathematics Department, Box 8205 Raleigh, N.C
Michael B. Monagan	Centre for Experimental and Constructive Mathematics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6 Canada

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

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ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 17, Citation Count: 2

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Laurent Bernardin , Michael B. Monagan, Efficient Multivariate Factorization over Finite Fields, Proceedings of the 12th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, p.15-28, June 23-27, 1997
	2	W. S. Brown, On Euclid's Algorithm and the Computation of Polynomial Greatest Common Divisors, Journal of the ACM (JACM), v.18 n.4, p.478-504, Oct. 1971 [doi>10.1145/321662.321664]
	3	B. F. Caviness , G. E. Collins, Algorithms for Gaussian integer arithmetic, Proceedings of the third ACM symposium on Symbolic and algebraic computation, p.36-45, August 10-12, 1976, Yorktown Heights, New York, United States [doi>10.1145/800205.806321]
	4	B. F. Caviness , Michael Rothstein, A modular greatest common divisor algorithm for gaussian polynomials, Proceedings of the 1975 annual conference, p.270-273, January 1975 [doi>10.1145/800181.810340]
	5	Angel Díaz , Erich Kaltofen, On computing greatest common divisors with polynomials given by black boxes for their evaluations, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.232-239, July 10-12, 1995, Montreal, Quebec, Canada [doi>10.1145/220346.220375]
	6	Angel Díaz , Erich Kaltofen, FOXBOX: a system for manipulating symbolic objects in black box representation, Proceedings of the 1998 international symposium on Symbolic and algebraic computation, p.30-37, August 13-15, 1998, Rostock, Germany [doi>10.1145/281508.281538]
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	14	KALTOFEN. E. Spa.rse Hensel lifting. Tech. Rep. 85- 12, Rensselaer Polytechnic Instit., Dept. Comput. Sci., Troy, N. Y., 1985.
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CITED BY 2

	Michael B. Monagan , Allan D. Wittkopf, On the design and implementation of Brown's algorithm over the integers and number fields, Proceedings of the 2000 international symposium on Symbolic and algebraic computation, p.225-233, July 2000, St. Andrews, Scotland
	Howard Cheng , George Labahn, Output-sensitive modular algorithms for polynomial matrix normal forms, Journal of Symbolic Computation, v.42 n.7, p.733-750, July, 2007