Skip to main content
Log in

Method of finding inverse matrix order N

  • Published:
Computational Mathematics and Mathematical Physics Aims and scope Submit manuscript

Abstract

A linear parameterization of group GL(N, C) formed by certain basis of matrices with in advance known symmetry properties is offered. The concept of the canonical basis is introduced by means of direct product of the corresponding so-called generalized Gell-Mann matrices. The properties of this canonical basis are enumerated and proved; algorithm of finding inverse matrix order N in canonical basis is proposed.

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. S. B. Pshenichnikov and R. M. Yamaleev, “Methods of Inverting Matrices of Order 2n,” Comput. Math. Math. Phys. 27(4), 188–191 (1987).

    Article  MathSciNet  MATH  Google Scholar 

  2. Kh. I. Semerdzhiev and R. M. Yamaleev, “Basis of Dickson Algebra and Its Matrix Realization,” Communication of JINR P5-88-834 (Dubna, 1988) [in Russian].

  3. R. A. Bertlmann and Ph. Krammer, “Bloch Vectors for Qudits,” J. Phys. A: Math. Theor 41, 235303–235325 (2008).

    Article  MathSciNet  Google Scholar 

  4. F. I. Fedorov, Lorentz Group (Nauka, Moscow, 1979) [in Russian].

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. N. Lavrenov.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lavrenov, A.N. Method of finding inverse matrix order N . Comput. Math. and Math. Phys. 52, 831–835 (2012). https://doi.org/10.1134/S0965542512060103

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0965542512060103

Keywords

Navigation