Computing the Determinant and Inverse of the Complex Fibonacci Hermitian Toeplitz Matrix
Jixiu Sun
School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, P.R. China and School of Sciences, Linyi University, Linyi 276005, P.R. China.
Zhaolin Jiang *
School of Sciences, Linyi University, Linyi 276005, P.R. China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we consider the determinant and the inverse of the complex Fibonacci Hermitian Toeplitz matrix. We first give the definition of the complex Fibonacci Hermitian Toeplitz matrix. Then we compute the determinant and inverse of the complex Fibonacci Hermitian Toeplitz matrix by constructing the transformation matrices.
Keywords: Hermitian Toeplitz matrix, determinant, inverse, complex Fibonacci numbers.