A. L. Kazakov, T. A. Batagaeva, “Investigation of the stability of simple quasi-Toeplitz tridiagonal systems with unlimited dimension”, Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 3,Pages <nobr>25

Investigation of the stability of simple quasi-Toeplitz tridiagonal systems with unlimited dimension

A. L. Kazakov^a, T. A. Batagaeva^b

^a Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, 134, Lermontov St., Irkutsk, 664033
^b National Research Irkutsk State Technical University, 83, Lermontov St., Irkutsk, 664074

Abstract: Investigation of quasi-Toeplitz tridiagonal systems of linear algebraic equations in the case where the dimension of unlimited increases. Proved theorem on the stability of the systems, which does not coincide with previously known conditions. Is an example that shows that the obtained sufficient conditions for stability are close to being necessary.

Keywords: systems of linear algebraic equations; tridiagonal matrix; quasi-Toeplitz matrix; stability.

UDC: 512.644