Skip to main content
SpringerLink
Log in

Analysis of the properties of a linear system using the method of artificial basis matrices

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

Formulas relating elements of the method in adjacent basis matrices are used to solve a system of linear algebraic equations and to represent analytically the general solutions to the corresponding system of linear algebraic inequalities for a nondegenerate constraint matrix.

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. A. A. Samarskii and A. V. Gulin, Numerical Methods [in Russian], Nauka, Gl. Red. Fiz.-Mat. Lit., Moscow (1989).

    MATH  Google Scholar 

  2. V. V. Voevodin, Computational Fundamentals of Linear Algebra [in Russian], Nauka, Gl. Red. Fiz.-Mat. Lit., Moscow (1977).

    Google Scholar 

  3. V. I. Kudin, “On deriving general solutions to a class of systems of linear inequalities,” Visn. Kyiv. Univ., Ser. Fiz.-Mat. Nauky, Issue 3, 309–313 (2005).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Taras Shevchenko National University, Kyiv, Ukraine

    V. I. Kudin & S. I. Lyashko

  2. Prairie View A&M University, Prairie View, USA

    N. V. Khritonenko

  3. College of Business and Economics, Houston Baptist University, Houston, USA

    Yu. P. Yatsenko

Authors
  1. V. I. Kudin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. I. Lyashko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. V. Khritonenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yu. P. Yatsenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Sponsored by the ICS NATO program of April 18 2006, in line with the Project “Optimal replacement of information technologies and stable development (in Kazakhstan, Ukraine, and the USA),” NATO Grant CLG 982209.

__________

Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 119–127, July–August 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kudin, V.I., Lyashko, S.I., Khritonenko, N.V. et al. Analysis of the properties of a linear system using the method of artificial basis matrices. Cybern Syst Anal 43, 563–570 (2007). https://doi.org/10.1007/s10559-007-0081-3

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-007-0081-3

Keywords

Search

Navigation