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Spectral Properties of Circulant Band Matrices Arising in ODE Methods

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Book cover Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

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Abstract

We investigate interesting spectral properties of circulant matrices with a band structure by analyzing the roots of an associated polynomial. We also derive practical conditions about the curve containing the eigenvalues of the matrix which can be used to study the stability domain of some numerical methods for the solution of ODEs.

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References

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bari, Via E. Orabona 4, I-70125, Bari, Italy

    Pierluigi Amodio

Authors
  1. Pierluigi Amodio
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Rousse, 7000, Rousse, Bulgaria

    Lubin Vulkov  & Plamen Yalamov  & 

  2. UNI-C,Danish Computing Center for Research and Education, DTU,Building 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2001 Springer-Verlag Berlin Heidelberg

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Amodio, P. (2001). Spectral Properties of Circulant Band Matrices Arising in ODE Methods. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_2

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  • DOI: https://doi.org/10.1007/3-540-45262-1_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

  • eBook Packages: Springer Book Archive

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