Fast computations in the lattice of polynomial rational function fields

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Fast computations in the lattice of polynomial rational function fields

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1996 international symposium on Symbolic and algebraic computation table of contents

Zurich, Switzerland

Pages: 43 - 48

Year of Publication: 1996

ISBN:0-89791-796-0

Author

Franz Binder

Department of Mathematics, University of Linz, Austria

Sponsors

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

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 3, Downloads (12 Months): 10, Citation Count: 3

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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	ALONSO, C. Desarrollo, Andlisis e Implementaci6n de Algoritmos para la Manipulaci6n de Variedades Paramgtricas. P hD thesis, Universidad de Cantabria, Santander, 1994.
	2	Cesar Alonso , Jaime Gutierrez , Tomás Recio, A rational function decomposition algorithm by near-separated polynomials, Journal of Symbolic Computation, v.19 n.6, p.527-544, June 1995 [doi>10.1006/jsco.1995.1030]
	3	BINDER, F. Polynomial decomposition. Master's thesis, University of Linz, June 1995.
	4	ENGSTROM, H. T. Polynomial substitutions. American Journal of Mathematics 63 (1941), 249- 255.
	5	FRIED, M., AND MACRAE, R. On curves with separated variables. Math. Ann. 10 (1969), 220- 226.
	6	LAUSCH, H., AND NOBAUER, W. Algebra of Polynomials, vol. 5 of North-Holland Mathematical Library. North Holland, Amsterdam, 1973.
	7	LIDL, R., MULLEN, G. L., AND TURNWALD, G. Dickson Polynomials, vol. 65 of Pitman Monographs and Surveys in Pure and Applied Mathematics. Longman Scientific & Technical, London, 1993.
	8	SCHINZEL, A. Seclected Topics on Polynomials. Ann Arbor, University of Michigan press, 1982.
	9	VAN DER WAERDEN, n. L. Algebra, 5 ed., vol. II. Springer-Verlag, Berlin Heidelberg New York, 1967.
	10	J. von zur Gathen, Functional decomposition of polynomials: the Tame case, Journal of Symbolic Computation, v.9 n.3, p.281-299, March 1990 [doi>10.1016/S0747-7171(08)80014-4]
	11	J. von zur Gathen, Functional decomposition of polynomials: the wild case, Journal of Symbolic Computation, v.10 n.5, p.437-452, Nov. 1990 [doi>10.1016/S0747-7171(08)80054-5]

CITED BY 3

	S. P. Tsarev, On factorization of nonlinear ordinary differential equations, Proceedings of the 1999 international symposium on Symbolic and algebraic computation, p.159-164, July 28-31, 1999, Vancouver, British Columbia, Canada
	Johannes Grabmeier , Erich Kaltofen , Volker Weispfenning, Cited References, Computer algebra handbook, Springer-Verlag New York, Inc., New York, NY, 2003
	Ruyong Feng , Xiao-Shan Gao , Zhenyu Huang, Rational solutions of ordinary difference equations, Journal of Symbolic Computation, v.43 n.10, p.746-763, October, 2008