Skip to main content
SpringerLink
Log in

Classifying anti-commuting pairs of Toeplitz and Hankel matrices

  • Mathematics
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

Abstract

Conditions for commuting a Toeplitz matrix and a Hankel matrix were obtained relatively recently (in 2015). The solution to the problem of describing all anti-commuting pairs (T, H), where T is a Toeplitz matrix and H is a Hankel matrix, is sketched below.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. I. Gel’fgat, Comput. Math. Math. Phys. 38, 7–10 (1998).

    MathSciNet  Google Scholar 

  2. Kh. D. Ikramov, Math. Notes 57, 463–469 (1995).

    Article  MathSciNet  Google Scholar 

  3. Kh. D. Ikramov and V. N. Chugunov, Comput. Math. Math. Phys. 36, 131–137 (1996).

    MathSciNet  Google Scholar 

  4. Kh. D. Ikramov and V. N. Chugunov, J. Math. Sci. 150 (2), 1951–1960 (2008).

    Article  MathSciNet  Google Scholar 

  5. Kh. D. Ikramov and V. N. Chugunov, Math. Notes 85 (5), 674–681 (2009).

    Article  MathSciNet  Google Scholar 

  6. V. N. Chugunov, Comput. Math. Math. Phys. 49 (6), 893–900 (2009).

    Article  MathSciNet  Google Scholar 

  7. V. N. Chugunov and Kh. D. Ikramov, Linear Algebra Appl. 430 (8–9), 2094–2101 (2009).

    Article  MathSciNet  Google Scholar 

  8. V. N. Chugunov and Kh. D. Ikramov, Linear Algebra Appl. 432 (12), 3210–3230 (2010).

    Article  MathSciNet  Google Scholar 

  9. V. I. Gel’fgat, Comput. Math. Math. Phys. 51, 1102–1113 (2011).

    Article  MathSciNet  Google Scholar 

  10. V. N. Chugunov and Kh. D. Ikramov, Linear Algebra Appl. 467, 226–242 (2015).

    Article  MathSciNet  Google Scholar 

  11. V. N. Chugunov and Kh. D. Ikramov, Numer. Anal. Appl. 9 (4), 359–368 (2016).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, 119991, Russia

    V. N. Chugunov

  2. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

    Kh. D. Ikramov

Authors
  1. V. N. Chugunov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kh. D. Ikramov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kh. D. Ikramov.

Additional information

Original Russian Text © V.N. Chugunov, Kh.D. Ikramov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 476, No. 3, pp. 272–275.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chugunov, V.N., Ikramov, K.D. Classifying anti-commuting pairs of Toeplitz and Hankel matrices. Dokl. Math. 96, 468–471 (2017). https://doi.org/10.1134/S1064562417050131

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562417050131

Search

Navigation