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On some conjectures regarding tridiagonal matrices

Fonseca C. M.

Journal of Applied Mathematics and Computational Mechanics

2018

Vol. 17, nr 4

13--17

We discuss several conjectures proposed recently by A.Z. Küçük and M. Düz on the permanent of certain type of tridiagonal matrices. We recall some less known results on tridiagonal matrices and, at the same time, bring other results together to a common framework.

Application of difference equations to certain tridiagonal matrices

Borowska J., Łacińska L., Rychlewska J.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2012

Vol. 11, nr 3

15-20

In this paper we present an application of second order homogeneous linear difference equations with constant coefficients to evaluate the determinant of tridiagonal matrices. Comparing the obtained results with a certain alternative approach [1] some formulae for the finite sum are derived.

Dynamic properties of chain systems with applications to biological models

Mitkowski W.

Archives of Control Sciences

1999

Vol. 9, no. 1/2

123-131

Spectral properties of chain systems are considered. We combine finite dimensional and asymptotic techniques. The microsatellite DNA repeats model is presented as example of chain system. Numerical calculations were made using the MATLAB program.