On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications

• Autorzy: A. Ohashi , T. Sogabe , T.S. Usuda
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

k-tridiagonal ℓ-Toeplitz matrix; decomposition; tensor product; eigenpairs; integer powers

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-06-25

zaakceptowano

2015-09-03

online

2015-10-05

Twórcy

autor

A. Ohashi

• Graduate School of Information Science & Technology, Aichi Prefectural University, Japan

autor

T. Sogabe

• Graduate School of Engineering, Nagoya University, Japan

autor

T.S. Usuda

• Graduate School of Information Science & Technology, Aichi Prefectural University, Japan

Bibliografia

• ---
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Identyfikatory

DOI

10.1515/spma-2015-0019