Skip to main content
Log in

On the spectrum of a matrix pencil and two-side infinite periodic Jacobi matrices

  • Published:
Integral Equations and Operator Theory Aims and scope Submit manuscript

Abstract

The spectrum and the Jordan structure of a matrix pencilA z =z −1 B+C+zB T has been considered. The results have been applied to investigation of the spectrum of two-side infinite periodic Jacobi matrices.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Gohberg I. and Feldman I., Convolution Equations and Projection Methods for Their Solutions, Math. Mongr.,41; Amer. Math. Soc. 1974.

  2. Percolab, L.,Inverse problem for periodic Jacobi matrix, Teor. funkc. funkc. anal. i ikh prilozheniya,42 (1984), pp. 107–121 (Russian).

    Google Scholar 

  3. Zhernakov N.Direct and inverse problems for periodic Jacobi matrix, Ukrain. mat. zhurnal,38, no. 6 (1986), pp. 785–788 (Russian).

    Google Scholar 

  4. Kac, M., van Moerbeke, P.On some periodic Toda lattice. Proc. Nat. Acad. Sci., USA72 (4) 1627–1629 (1975)

    Google Scholar 

  5. Heinig G.,Iversion of periodic Jacobi matrices, Matematicheskie issledovaniya,1 (1973), pp. 180–200 (Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kulesko, A. On the spectrum of a matrix pencil and two-side infinite periodic Jacobi matrices. Integr equ oper theory 25, 94–103 (1996). https://doi.org/10.1007/BF01192044

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01192044

AMS classification

Navigation