EXPLICIT INVERSE AND DETERMINANT OF PERTURBED TRIBAND TOEPLITZ MATRIX INVOLVING THE FIBONACCI NUMBERS
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.
inverse, determinant, perturbed triband Toeplitz matrix, Fibonacci numbers, Sherman-Morrison-Woodbury formula.
