Recurrence form for determinant of a heptadiagonal symmetric Toeplitz matrix

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

Abstrakty

EN

In this paper we show that the determinant of heptadiagonal symmetric Toeplitz matrix can be represented by a particular solution of the system of three homogeneous linear recurrence equations. The general considerations are illustrated by certain numerical example implementated in the Maple system.

Słowa kluczowe

EN

Toeplitz matrix; heptadiagonal matrix; determinant; linear recurrence equations

PL

macierze Teoplitza; determinanta; liniowe równania rekurencyjne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 4
• Strony: 19--26
• Opis fizyczny: Bibliogr. 5 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] Elouafi M., A note for an explicit formula for the determinant of pentadiagonal and heptadiagonal symmetric Toeplitz matrices, Applied Mathematics and Computation 2013, 219, 4789-4791.
• [2] Elouafi M., On a relationship between Chebyshev polynomials and Toeplitz determinants, Applied Mathematics and Computation 2014, 229, 27-33.
• [3] Solary M.S., Finding eigenvalues for heptadiagonal symmetric Toeplitz matrices, J. Math. Anal. Appl. 2013, 402, 719-730.
• [4] 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, 13(2), 5-12.
• [5] Elaydi S., An Introduction to Difference Equations, Springer, 2005.