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An algorithm for complete enumeration of all factorizations of a linear ordinary differential operator
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Source 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: 226 - 231  
Year of Publication: 1996
ISBN:0-89791-796-0
Author
S. P. Tsarev  Department of Mathematics, Krasnoyarsk State Pedagogical University, Lebedevoi, 89, 660049, Krasnoyarsk, Russia
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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Downloads (6 Weeks): 4,   Downloads (12 Months): 17,   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.

 
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BEKE, E. Die Irreducibilit~t der homogenen linearen Differentialgleichungen. Math. Annalen ~5 (1894), 278- 300.
 
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BRONSTEIN, M., AND PETKOVSEK, M. On Ore rings, linear operators and factorization. Programming Computer Software 20, 1 (1994), 27-44.
 
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CHALYKH, O., AND VESELOV, A. P. Commutative partial differential operators and Lie algebras. Commun. Math. Phys. 126 (1990), 597-611.
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VAN HOEIJ, M. Factorization of differential operators with rational functions coefficients. Tech. Pep. 9552, University of Nijmegen, 1995.
 
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KRICHEVER, I, M., AND NOVIKOV, S. P, Holomorphic bundles over algebraic curves and nonlinear equations. Russian Math. Surveys 35, 6 (1980), 47-68.
 
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LOEWY, A. Uber reduzible lineare homogene Differentialgleichungen. Math. Annalen 56 (1903), 549-584.
 
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LOEWY, A. Uber vollstandig reduzible lineare homogene Differentialgleichungen. Math. Annalen 62 (190{3), 89-117.
 
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ORE, O. Formale Theorie der linearen Differentialgleichungen (Erster Tell). j. fiir die reine und angewandte Mathemat~k 167 (1932), 221-234.
 
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ORE, O. Formale Theorie der linearen Differentialgleichungen (Zweiter Teil). J. fiir die reme und angewandte Mathemat~k 168 (1932), 233-252.
 
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ORE, O~ Theory of non-commutative polynomials~ Annals of Mathematics 3~ (1933), 480-508.
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SINGER, M. F. Testing reducibility of linear differentJ{al operators: a group theoretic perspective, submitted to Applicable Algebra ~n Engineering, Communzcation and Computing, 1993.
 
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TSAREV, S. P. On some problems in factorization of linear ordinary differential operators. Programming Computer Software 20, 1 (1994), 27-29.

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