Rational solutions of first order linear difference systems

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Rational solutions of first order linear difference 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: 124 - 131

Year of Publication: 1998

ISBN:1-58113-002-3

Authors

S. A. Abramov	Computer Center of the Russian Academy of Science, Vavilova 40, Moscow 117967, Russia
M. A. Barkatou	Université de Grenoble I, IMAG-LMC, 51 Rue de Mathématiques, B.P. 53, 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): 4, Downloads (12 Months): 14, Citation Count: 9

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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	S. A. Abramov (1989): Problems of computer algebra involved in the search for polynomial solutions of linear differential and difference equations, Moscow Univ. Comput. Math. and Cybernet., no. 3, 63-68. Transl. from Vestn. Moskov. univ. Set. XV. Vychisl. mat. kibernet., no. 3, 56-60.
	2	S. A. Abramov, Rational solutions of linear differential and difference equations with polynomial coefficients, USSR Computational Mathematics and Mathematical Physics, v.29 n.6, p.7-12, 1989 [doi>10.1016/S0041-5553(89)80002-3]
	3	S. A. Abramov, Rational solutions of linear difference and q-difference equations with polynomial coefficients, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.285-289, July 10-12, 1995, Montreal, Quebec, Canada [doi>10.1145/220346.220383]
	4	S. A. Abramov (1995): Rational solutions of linear difference and q-difference equations with polynomial coefficients. Programming and Comput. Software 21, No 6, 273-278. Transl. from Programmirovanie, No 6, 3-11.
	5	Sergei A. Abramov , Manuel Bronstein , Marko Petkovšek, On polynomial solutions of linear operator equations, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.290-296, July 10-12, 1995, Montreal, Quebec, Canada [doi>10.1145/220346.220384]
	6	Barkatou M.A. (1989): Contribution ~ l'~tude des ~quations diff~rentielles et aux diff~rences dans le champ complexe, th~se soutenue le 6 juin 1989 ~ l'institut national polytechnique de Grenoble (France).
	7	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]
	8	G.D, Birkhoff: Formal Theory of irregular linear difference equations, Acta. Math. 54 (1930), 205-246
	9	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]
	10	Yiu-Kwong Man , Francis J. Wright, Fast polynomial dispersion computation and its application to indefinite summation, Proceedings of the international symposium on Symbolic and algebraic computation, p.175-180, July 20-22, 1994, Oxford, United Kingdom [doi>10.1145/190347.190413]

CITED BY 9

	Sergei A. Abramov , Mark van Hoeij, Desingularization of linear difference operators with polynomial coefficients, Proceedings of the 1999 international symposium on Symbolic and algebraic computation, p.269-275, July 28-31, 1999, Vancouver, British Columbia, Canada
	Sergei A. Abramov , Manuel Bronstein, On solutions of linear functional systems, Proceedings of the 2001 international symposium on Symbolic and algebraic computation, p.1-6, July 2001, London, Ontario, Canada
	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
	Mark van Hoeij, Rational solutions of linear difference equations, Proceedings of the 1998 international symposium on Symbolic and algebraic computation, p.120-123, August 13-15, 1998, Rostock, Germany
	S. A. Abramov, A direct algorithm to compute rational solutions of first order linear q-difference systems, Discrete Mathematics, v.246 n.1-3, p.3-12, 6 March 2002
	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
	S. A. Abramov , S. P. Polyakov, Improved universal denominators, Programming and Computing Software, v.33 n.3, p.132-138, May 2007
	D. E. Khmelnov, Search for Polynomial Solutions of Linear Functional Systems by Means of Induced Recurrences, Programming and Computing Software, v.30 n.2, p.61-67, March-April 2004
	Moulay A. Barkatou , Gary Broughton , Eckhard Pflügel, Regular systems of linear functional equations and applications, Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, July 20-23, 2008, Linz/Hagenberg, Austria