Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In this paper we consider a linear system of algebraic equations of a tridiagonal type. We show that the solution of such a system can be represented by a corresponding second order inhomogeneous linear recurrence equation. This approach enables us to represent the solution to the tridiagonal Toeplitz linear system of equations in a closed form.
Rocznik
Tom
Strony
5--10
Opis fizyczny
Bibliogr. 5 poz.
Twórcy
autor
- Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland
autor
- Institute of Mathematics, Czestochowa University of Technology
Bibliografia
- [1] Mazilu I., Mazilu D.A., Williams H.T., Applications of tridiagonal matrices in non-equilibrium statistical physics, Electronic Journal of Linear Algebra 2012, 24, 7-17.
- [2] Soujanya G.B.S.L., Reddy Y.N., Computational method for singularly perturbed delay differential equations with layer or oscillatory behaviour, Applied Mathematics and Information Sciences 2016, 10(2), 527-536.
- [3] El-Mikkawy M., Atlan F., Algorithms for solving linear systems of equations of tridiagonal type via transformations, Applied Mathematics 2014, 5, 413-422.
- [4] Borowska J., Łacińska L., Rychlewska J., Application of difference equation to certain tridiagonal matrices, Scientific Research of the Institute of Mathematics and Computer Science 2012, 3(11), 15-20.
- [5] Elaydi S., An Introduction to Difference Equations, Springer, 2005.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b6cfed84-f30c-4e0e-93c2-ac2a139e7d97