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Exact computation of the characteristic polynomial of an integer matrix

  • Asish Mukhopadhyay
  • Vangalur S. Alagar
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 229)

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References

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    Chatres, B.E., “Controlled Precision Calculations and the Danilevskii's Method”, Brown University, Division of Applied Mathematics Report, 1964.Google Scholar
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    Demidovich, B.P. and Maron, I.A., “Computational Mathematics”, Mir Publishers, Moscow, pp. 412–419, 1976.Google Scholar
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    Fank, W.I., “Computing Eingenvalues of Complex Matrices by Determinant Evaluation and by Methods of Danilevskii and Wielandt”, J. Siam, Vol. 6, pp. 378–392, 1958.Google Scholar
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    Hansen, E.R., “On the Danilevskii Method”, JACM. Vol. 10, pp. 102–109.Google Scholar
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    Koblitz, N., “P-adic Numbers, p-adic Analysis and Zeta Functions”, Springer-Verlag, Berlin, 1977.Google Scholar
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    Kornerup, P. and Gregory, R.T., “Mapping Integer and Hensel Codes onto Farey Fractions”, BIT 23, 1983.Google Scholar
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    Krishnamurthy, E.V., Mahadev Rao, T. and Subramanian, K., “Finite Segment p-adic Number System with Application to Exact Computation”, Proc. Indian Academy of Science, Vol. 81, Sec. A, No. 2, pp. 58–79, 1975.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Asish Mukhopadhyay
    • 1
  • Vangalur S. Alagar
    • 1
  1. 1.Department of Computer ScienceConcordia UniversityMontrealCanada

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