IJPAM: Volume 103, No. 3 (2015)


Asuka Ohashi$^1$, Tsuyoshi Sasaki Usuda$^1$,
Tomohiro Sogabe$^2$, Fatih Yılmaz$^3$
$^1$Graduate School of Information Science & Technology
Aichi Prefectural University
Aichi 480-1198, JAPAN
$^2$Graduate School of Engineering
Nagoya University
Nagoya 464-8603, JAPAN
$^3$Department of Mathematics
Polatlı Art and Science Faculty
Gazi University
06900, Ankara, TURKEY

Abstract. In the present paper, we provide a decomposition of a $k$-tridiagonal Toeplitz matrix via tensor product. By the decomposition, the required memory of the matrix is reduced and the matrix is easily analyzed since we can use properties of tensor product.

Received: May 14, 2015

AMS Subject Classification: 15A18, 15A15

Key Words and Phrases: $k$-tridiagonal Toeplitz matrix, decomposition, tensor product, determinant, eigenvalues, integer powers

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DOI: 10.12732/ijpam.v103i3.14 How to cite this paper?

International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 3
Pages: 537 - 545

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