On the equivalence problem of linear differential systems and its application for factoring completely reducible systems

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On the equivalence problem of linear differential systems and its application for factoring completely reducible systems

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1998 international symposium on Symbolic and algebraic computation table of contents

Rostock, Germany

Pages: 268 - 275

Year of Publication: 1998

ISBN:1-58113-002-3

Authors

M. A. Barkatou	LMC-IMAG, B. P. 53, 51 Rue des Mathématiques, 38041 Grenoble Cedex 9, France
E. Pflügel	LMC-IMAG, B. P. 53, 51 Rue des Mathématiques, 38041 Grenoble Cedex 9, France

Sponsors

German Comp Soc : GI - Gesellshaft for Informatik
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): 5, Downloads (12 Months): 15, 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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	2	BARKATOU, M.A. An algorithm for computing a companion block diagonal form for a system of linear differential equations. Journal of App. Alg. in Eng. Comm. and Comp. ~ (1993).
	3	A. Barkatou, A rational version of Moser's algorithm, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.297-302, July 10-12, 1995, Montreal, Quebec, Canada [doi>10.1145/220346.220385]
	4	BARKATOU, M.A. An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system. Journal of App. Alg. in Eng. Comm. and Comp. 8, 1 (1997), 1-23.
	5	Moulay A. Barkatou, On rational solutions of systems of linear differential equations, Journal of Symbolic Computation, v.28 n.4-5, p.547-567, Oct./Nov. 1999 [doi>10.1006/jsco.1999.0314]
	6	Moulay Barkatou , Ekhard Pflügel, An algorithm computing the regular formal solutions of a system of linear differential equations, Journal of Symbolic Computation, v.28 n.4-5, p.569-587, Oct./Nov. 1999 [doi>10.1006/jsco.1999.0315]
	7	BERMAN, P., AND SINGER, M. Calculating the Galois Group of Ll(L2(y)) = O, El, L2 Completely Reducible Operators. Submitted to publication. Available at: http://www4.ncsu, edu/~singer/ms_papers .html, 1998.
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	13	A. Hilali , A. Wazner , Pamela B. Lawhead, Super-irreducible form of linear differential systems, Numerische Mathematik, v.50 n.4, p.429-449, FEB. 1987 [doi>10.1007/BF01396663]
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CITED BY 5

	M. A. Barkatou, Rational solutions of matrix difference equations: the problem of equivalence and factorization, Proceedings of the 1999 international symposium on Symbolic and algebraic computation, p.277-282, 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
	Thomas Cluzeau, Factorization of differential systems in characteristic p, Proceedings of the 2003 international symposium on Symbolic and algebraic computation, p.58-65, August 03-06, 2003, Philadelphia, PA, USA
	Xiao-Shan Gao , Mingbo Zhang, Decomposition of differential polynomials with constant coefficients, Proceedings of the 2004 international symposium on Symbolic and algebraic computation, p.175-182, July 04-07, 2004, Santander, Spain
	Ruben Debeerst , Mark van Hoeij , Wolfram Koepf, Solving differential equations in terms of bessel functions, Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, July 20-23, 2008, Linz/Hagenberg, Austria