On determinant of certain pentadiagonal matrix

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

Abstrakty

EN

In this paper, using the LU factorization, the relation between the determinant of a certain pentadiagonal matrix and the determinant of a corresponding tridiagonal matrix will be derived. Moreover, it will be shown that determinant of this special pentadiagonal matrix can be calculated by applying the fourth order homogeneous linear difference equation.

Słowa kluczowe

EN

tridiagonal matrix; pentadiagonal matrix; determinant; LU factorization

PL

determinanta; rozkład LU

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 3
• Strony: 21--26
• 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] Gladwell G.M.L., Lawrence K.P., Siegel D., Isospectral finite element membranes, Mechanical Systems and Signal Processing 2009, 23, 1986-1999.
• [2] 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.
• [3] Zhao X., Huang T., On the inverse of a general pentadiagonal matrix, Applied Mathematics and Computation 2008, 202, 639-646.
• [4] Elaydi S., An Introduction to Difference Equations, Springer, 2005.