A system of linear recurrence equations for determinant of pentadiagonal matrix

• Autorzy: Borowska J. , Łacińska L. , Rychlewska J.
• Języki publikacji: EN

Abstrakty

EN

In this paper we present an application of the system of two homogeneous linear recurrence equations to evaluate the determinant of pentadiagonal matrix. The general considerations are illustrated by two examples. It is shown that the proposed approach is suited for implementation using computer algebra systems.

Słowa kluczowe

EN

pentadiagonal matrix; determinant; linear recurrence equations

PL

determinanta

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 2
• Strony: 5--12
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Borowska J.

• Institute of Mathematics, Czestochowa University of Technology Czestochowa, Poland

autor

Łacińska L.

• Institute of Mathematics, Czestochowa University of Technology Czestochowa, Poland

autor

Rychlewska J.

• Institute of Mathematics, Czestochowa University of Technology Czestochowa, Poland

Bibliografia

• [1] Aiat Hadj A.D., Elouafi M., On the characteristic polynomial, eigenvectors and determinant of a pentadiagonal matrix, Applied Mathematics and Computation 2008, 198, 634-642.
• [2] Zhao X., Huang T., On the inverse of a general pentadiagonal matrix, Applied Mathematics and Computation 2008, 202, 639-646.
• [3] Borowska J., Łacińska L., Rychlewska J., On determinant of certain pentadiagonal matrix, Journal of Applied Mathematics and Computational Mechanics 2013, 12(3), 21-26.
• [4] Elaydi S., An Introduction to Difference Equations, Springer, 2005.