JP Journal of Algebra, Number Theory and Applications
Volume 45, Issue 1, Pages 85 - 100
(January 2020) http://dx.doi.org/10.17654/NT045010085 |
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EXPLICIT INVERSE AND DETERMINANT OF PERTURBED TRIBAND TOEPLITZ MATRIX INVOLVING THE FIBONACCI NUMBERS
Jiali Zhao and Zhaolin Jiang
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Abstract: In this paper, we derive explicit determinant and inverse of triband Toeplitz matrix with perturbed columns involving the Fibonacci numbers. Our techniques include a clever use of matrix decomposition with the Sherman-Morrison-Woodbury formula and the inverse of Fibonacci matrix. Moreover, the determinants and inverses of four special disturbances are given, respectively. |
Keywords and phrases: inverse, determinant, perturbed triband Toeplitz matrix, Fibonacci numbers, Sherman-Morrison-Woodbury formula.
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