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Annulus containing all the eigenvalues of a matrix polynomial

Author

Listed:
  • Sunil Hans

    (Amity University)

  • Samir Raouafi

    (Auburn University)

Abstract

In this paper, we prove a more general result concerning the location of the eigenvalues of a matrix polynomial in an annulus from which we deduce an interesting result due to Higham and Tisseur [11]. Several other known results have been extended to matrix polynomials, which in particular include extension and generalization of a classical result of Cauchy [4]. We also present two examples of matrix polynomials to show that the bounds obtained are close to the actual bounds.

Suggested Citation

  • Sunil Hans & Samir Raouafi, 2022. "Annulus containing all the eigenvalues of a matrix polynomial," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(2), pages 405-412, June.
    • Handle: RePEc:spr:indpam:v:53:y:2022:i:2:d:10.1007_s13226-021-00211-8
    DOI: 10.1007/s13226-021-00211-8
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