Relation between determinants of tridiagonal and certain pentadiagonal matrices

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

Abstrakty

EN

In this paper we consider a pentadiagonal matrix which consists of only three non-zero bands. We prove that the determinant of such a matrix can be represented by a product of two determinants of corresponding tridiagonal matrices. It is shown that such an approach gives greatly shorter time of computer calculations.

Słowa kluczowe

EN

pentadiagonal matrix; tridiagonal matrix; determinant; recurrence equations

PL

determinanta; równanie Fouriera

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 3
• Strony: 21--28
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Borowska J.

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

autor

Łacińska L.

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

Bibliografia

• [1] Borowska J., Łacińska L., Rychlewska J., On determinant of certain pentadiagonal matrix, Journal of Applied Mathematics and Computational Mechanics 2013, 12(3), 21-26.
• [2] Borowska J., Łacińska L., Rychlewska J., A system of linear recurrence equations for determinant of pentadiagonal matrix, Journal of Applied Mathematics and Computational Mechanics 2014, 2(13), 5-12.
• [3] Elaydi S., An Introduction to Difference Equations, Springer, 2005.
• [4] Adams P., Smith K., Vyborny R., Introduction to Mathematics with Maple, World Scientific, 2004.