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European Conference on Computer Algebra

EUROCAL 1983: Computer Algebra pp 68–77Cite as

Characterization of a linear differential system with a regular singularity

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 162))

Abstract

Two methods are known for determining if a singularity of a linear differential system is regular, and finding the regularizing transformation.

The cyclic vector method is complete in principle, but very expensive. We present another method applicable in most cases (including all with n≤3), which finds much simpler transforms.

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References

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Author information

Authors and Affiliations

  1. Laboratoire IMAG, B.P. No 68, 38402, Saint Martin D'Heres, France

    Aziz Hilali

Authors
  1. Aziz Hilali
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Editor information

J. A. van Hulzen

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© 1983 Springer-Verlag

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Hilali, A. (1983). Characterization of a linear differential system with a regular singularity. In: van Hulzen, J.A. (eds) Computer Algebra. EUROCAL 1983. Lecture Notes in Computer Science, vol 162. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12868-9_92

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  • DOI: https://doi.org/10.1007/3-540-12868-9_92

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12868-7

  • Online ISBN: 978-3-540-38756-5

  • eBook Packages: Springer Book Archive

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