| An algorithm for computing exponential solutions of first order linear differential systems |
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International Conference on Symbolic and Algebraic Computation
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Proceedings of the 1997 international symposium on Symbolic and algebraic computation
table of contents
Kihei, Maui, Hawaii, United States
Pages: 164 - 171
Year of Publication: 1997
ISBN:0-89791-875-4
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Author
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Eckhard Pflügel
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LMC-IMAG, 51 Rue des Mathématiques, 38041 Grenoble Cedex 9, France
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Downloads (6 Weeks): 7, Downloads (12 Months): 21, Citation Count: 4
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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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BARKATOU, M. An Efficient Algorithm for Computing Rational Solutions of Systems of Linear Differential Equations. RR, LMC-IMAG, 1997
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BARKATOU, M. An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system near an irregular singularity. Journal of App. Alg. in Eng. Comm. and Comp. vol 8, No 1.(1997)~ 1-23.
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BARKATOU, A., AND JUNG, F. Formal solutions of linear differential and difference equations. Programmirovanie, 1 (Jan.-Febr. 1997).
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BARKATOU, A., AND PFL~IGEL, E. A rational algorithm to compute a super-irreducible form of a linear differential system. RR, LMC-IMAG, 1997 (to appear).
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BECKEN, O. Algorithmen zum LSsen einfacher Differentialgleichungen. In Rostocker lnformatik-Berichte, vol. 17. Universit~it Rostock, 1995, pp. 5-28. ISBN 0233-0784.
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G~;RARD, R., AND LEVELT, A. Invariants mdsurant l'irrdgularitd en un point singulier des syst~mes diffdrentiels lindaires. Ann. Inst. Fourier 23, 1 (1973), 157-195.
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HILALI, A., AND WAZNER, A. Calcul des invaxiants de Maigrange et de Gdrard et Levelt d'un syst~me diffdrentiel lindaire en un point singulier irrdgulier. Jour. Diff. Equ. 69 (1987).
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HOEIJ, M. v. Factorization of Linear Differential Operators. PhD thesis, University of Nijmegen, 1996.
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LEVELT, A. Stabilizing Differential Operators. Differential Equations and Computer Algebra (1991), 181- 228.
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SCHLESINGER, L. Handbuch der Theorie der linearen Differential91eichungen. Teubner, Leipzig, 1895.
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SINGER, M. Liouvillian Solutions of n th Order Homogeneous Linear Differential Equations. American Journal of Mathematics 103, 4 (1981), 661-682.
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TOURNIER, E. Solutions formelles d 'dquations diffdrentielles. Th~se d'Etat, Universit~ de Grenoble, 1987.
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