Eigenvalues of 2-tridiagonal Toeplitz matrix

• Autorzy: Borowska J. , Łacińska L.

Identyfikatory

DOI

10.17512/jamcm.2015.4.02

• Języki publikacji: EN

Abstrakty

EN

In this article an explicit formula for eigenvalues of a 2-tridiagonal Toeplitz matrix can be derived on the basis of a certain relation between the determinant of this matrix and the determinant of a pertinent tridiagonal matrix. It can be pointed out that the problem is investigated without imposing any conditions on the elements of matrix.

Słowa kluczowe

EN

eigenvalues; k-tridiagonal matrices; Toeplitz matrix

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2015
• Tom: Vol. 14, nr 4
• Strony: 11--17
• 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] Yueh W.C., Eigenvalues of tridiagonal matrices, Applied Mathematics E-Notes 2005, 5, 66-74.
• [2] Asci M., Tasci D., El-Mikkawy M., On determinants and permanents of k-tridiagonal Toeplitz matrices, Util. Math. 2012, 89, 97-106.
• [3] Jia J., Sogabe T., El-Mikkawy M., Inversion of k-tridiagonal matrices with Toeplitz structure, Computers and Mathematics with Applications 2013, 65, 116-125.
• [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] Borowska J., Łacińska L., Rychlewska J., On determinant of certain pentadiagonal matrix, Journal of Applied Mathematics and Computational Mechanics 2013, 12(3), 21-26.