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Sparse Power Series and Parameterized Linear Operators

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Abstract

A modular–probabilistic approach is suggested to facilitate the computation of the greatest common right divisor of linear parameterized differential or difference operators, which arise when searching for sparse power series solutions of a given linear differential equation.

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REFERENCES

  1. Abramov, S.A., m-Sparse Solutions of Linear Ordinary Differential Equations with Polynomial Coefficients, Discrete Math., 2000, vol. 217, pp. 3–15.

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  5. Chardin, M., Differential Resultants and Subresultants, Lecture Notes in Computer Science, Berlin: Springer, vol. 529, pp. 180–189.

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Authors and Affiliations

  1. Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    S. A. Abramov & A. A. Ryabenko

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  1. S. A. Abramov
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  2. A. A. Ryabenko
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Abramov, S.A., Ryabenko, A.A. Sparse Power Series and Parameterized Linear Operators. Programming and Computer Software 30, 83–87 (2004). https://doi.org/10.1023/B:PACS.0000021265.08335.6b

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  • DOI: https://doi.org/10.1023/B:PACS.0000021265.08335.6b

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