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EXPLICIT EIGENVALUES AND INVERSES OF TRIDIAGONAL TOEPLITZ MATRICES WITH FOUR PERTURBED CORNERS

Part of: Basic linear algebra

Published online by Cambridge University Press:  01 January 2008

WEN-CHYUAN YUEH  and
SUI SUN CHENG
WEN-CHYUAN YUEH*
Affiliation:
Department of Refrigeration, Chin-Yi University of Technology, Taichung, Taiwan 411, Republic of China (email: yuehwc@ncut.edu.tw)
SUI SUN CHENG
Affiliation:
Department of Mathematics, Yuncheng University, Yuncheng, Shanxi 044000, People’s Republic of China
*
✉For correspondence; e-mail: yuehwc@ncut.edu.tw
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Abstract

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By means of a symbolic calculus for finding solutions of difference equations, we derive explicit eigenvalues, eigenvectors and inverses for tridiagonal Toeplitz matrices with four perturbed corners.

Keywords

Toeplitz matrixeigenvalueeigenvectorinversedifference equationsequence

MSC classification

Secondary: 15A09: Matrix inversion, generalized inverses 15A18: Eigenvalues, singular values, and eigenvectors
Type
Research Article
Information
The ANZIAM Journal , Volume 49 , Issue 3 , January 2008 , pp. 361 - 387
Copyright
Copyright © Australian Mathematical Society 2008

References

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