| Algorithms for computing sparse shifts for multivariate polynomials |
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International Conference on Symbolic and Algebraic Computation
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Proceedings of the 1995 international symposium on Symbolic and algebraic computation
table of contents
Montreal, Quebec, Canada
Pages: 96 - 103
Year of Publication: 1995
ISBN:0-89791-699-9
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Authors
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Dima Yu. Grigoriev
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Department of Computer Science and Department of Mathematics, Pennsylvania State University, State College, PA
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Y. N. Lakshman
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Department of Mathematics and Computer Science, Drexel University, Philadelphia, PA
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Downloads (6 Weeks): 0, Downloads (12 Months): 4, Citation Count: 5
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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.
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Baur, W., and Strassen, V., (1983), "The complexity of partial derivatives," Theoretical Computer Science, Vol. 22, pp. 317-330.
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Grigoriev, D. Yu. and Karpinski, M. (1987), "The matching problem for bipartite graphs with polynomially bounded permanents is in NC," Proc. 28th IEEE Symp. Foundations Comp. Sci., pp. 166-172.
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Dima Yu. Grigoriev , Marek Karpinski , Andrew M. Odlyzko, Existence of short proofs for nondivisibility of sparse polynomials under the extended Riemann hypothesis, Papers from the international symposium on Symbolic and algebraic computation, p.117-122, July 27-29, 1992, Berkeley, California, United States
[doi> 10.1145/143242.143287]
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Grigoriev, D., Karpinski, M., and Singer, M. (1993a), "Computational complexity of sparse real algebraic function interpolation," Proc. MEGA '92, Progress in Mathematics, Birkhauser, Vol. 109, pp. 91-104.
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Grigoriev, D., and Lakshman Y. N., (1994), "Algorithms for Computing Sparse Shifts for Multivariate Polynomials," Manuscript.
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Kaplanski, I. (1957), "An introduction to differential algebra," Hermann, Paris.
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Kapur, D., and Lakshman Y.N., (1992), "Elimination methods: An introduction," in Symbolic and Numerical Computation for Artificial Intelligence, (Ed. Bruce Donald, Deepak Kapur, Joe Mundy), Academic Press, 1992, pp. 45-89.
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Lakshman Y.N., (1990) "On the Complexity of Computing CrSbner Bases for Zero Dimensional Polynomial Ideals", Ph.D. Thesis, Rensselaer Polytechnic Institute, Troy, New York, December 1990.
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Lazard D., (1989), " Solving Zero~Dimensional Algebraic Systems ", Tech. Report.no.89-48, LITP, Universite Paris VI, June 1989.
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