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An algorithm for computing exponential solutions of first order linear differential systems
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Source International Conference on Symbolic and Algebraic Computation archive
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
Author
Eckhard Pflügel  LMC-IMAG, 51 Rue des Mathématiques, 38041 Grenoble Cedex 9, France
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
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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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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.