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Parallel univariate p-adic lifting on shared-memory multiprocessors

Published: 01 August 1992 Publication History
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References

[1]
B. Beauzamy, V. Trevisan and P. Wang, "Polynomia.1 Factorization" Sharp Bounds, Efficient Algorithms," Institute of Computational Mathemal;ics Technical Report No. ICM-9201-26, Department, of Ma.thematics and Computer Science, Kent State University, Kent OH, 1992 (submitted to Journal of Symbolic Computation).
[2]
S. C. Johnson and R. L. Graham, "SIGSAM problem #7," ACM SIGSAM Bulletin, Feb. 1974, page 4.
[3]
E. Kaltofen, "Factorization of Polynoll~ials," Computer Algebra-Symbolic and Algebraic Computation, Computing, Suppl. 4, Springer-Verlag, 1982, pp. 95-113.
[4]
D. E. Knuth. The Art of Computer Programmi1~g. Vol. 2'Semi-numer,zcal Algorithms, Addison- Wesley, Reading, Mass., 1980.
[5]
R. T. Moenck, "Practical Fast Polynomial Mult, iplication," Proceedings of the 1976 ACM Symposium on Symbolic and Algebraic Computation (SYMSAC'76), pp. 136-145.
[6]
P. M. A. Moore and A. C. Norman, "implementing a Polynomial Factorization and GCD Package," Proceedings of the 1981 ACM Symposmm on Symbolic and Algebraic Computation, August, 1981, pp. 109-116.
[7]
J. Moses and D. Y. Y. Yun, "The EZGCD Algorithm," Proceedings, 19 73 ACM National Conference, Pl). 159-166.
[8]
B. Serpette, j. Vuillemiu, and J. C. Iterv~, "'BigNum" A Fort.able and EflScient Package tot Arbitrary-Precision Arithmetic," Digital Equipmerit ('orp., Paris Research Laboratory, 85, Av. Victor Hugo. 92563 Rueil-Malmaison Cedex, France.
[9]
N. Sharma and P. S. Wang, "A Guide to Parallel Programming on the Sequent Balance," Technical Report, Institute for Mathematical Computation, Department of Mathematics and Computer Science, Kent State University, 1989.
[10]
P. S. Wang and B. M. Trager, "New Algorithms for Polynomial Square-free Decomposition over the integers," SIAM J. Computing, Vol. 8, No. 3, Aug. 1979, pp. 300-305.
[11]
P. S. Wang, "Parallel p-adic Constructions in the Univariate Polynomial Factoring Algorithm," Proceedings, MACSYMA Users' Conference 1979, Cambridge, MA, MIT pp. 310-318.
[12]
P. S. Wang, "Early Detection of True Factors in Univariate Polynomial Factorization," Proceedings, ACM EUROCAL'83, London, March 28-30, 1983.
[13]
P. S. Wang, "Parallel Univariate Polynomial Factorization on Shared-Memory Multiprocessors," Proceedings of the ISSAC'90, Addison-Wesley (ISBN 0-201-54892-5), Aug. 1990, pp. 145-151.
[14]
H. Zassenhaus, "On Hensel Factoriza.tion." J. Number Theory 1 (1969)pp. 291-311.

Cited By

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  • (1994)Parallelization of the sparse modular GCD algorithm for multivariate polynomials on shared memory multiprocessorsProceedings of the international symposium on Symbolic and algebraic computation10.1145/190347.190368(66-73)Online publication date: 1-Aug-1994
  • (1993)Polynomial FactorizationJournal of Symbolic Computation10.1006/jsco.1993.102815:4(393-413)Online publication date: 1-Apr-1993

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cover image ACM Conferences
ISSAC '92: Papers from the international symposium on Symbolic and algebraic computation
August 1992
406 pages
ISBN:0897914899
DOI:10.1145/143242
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 August 1992

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View all
  • (1994)Parallelization of the sparse modular GCD algorithm for multivariate polynomials on shared memory multiprocessorsProceedings of the international symposium on Symbolic and algebraic computation10.1145/190347.190368(66-73)Online publication date: 1-Aug-1994
  • (1993)Polynomial FactorizationJournal of Symbolic Computation10.1006/jsco.1993.102815:4(393-413)Online publication date: 1-Apr-1993

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