We consider a k-tridiagonal ℓ-Toeplitz matrix as one of generalizations of a tridiagonal Toeplitz matrix. In the present paper, we provide a decomposition of the matrix under a certain condition. By the decomposition, the matrix is easily analyzed since one only needs to analyze the small matrix obtained from the decomposition. Using the decomposition, eigenpairs and arbitrary integer powers of the matrix are easily shown as applications.
@article{bwmeta1.element.doi-10_1515_spma-2015-0019,
author = {A. Ohashi and T. Sogabe and T.S. Usuda},
title = {On decomposition of k-tridiagonal l-Toeplitz matrices and its applications},
journal = {Special Matrices},
volume = {3},
year = {2015},
zbl = {1327.15018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_spma-2015-0019}
}
A. Ohashi; T. Sogabe; T.S. Usuda. On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications. Special Matrices, Tome 3 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_spma-2015-0019/
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