On k-circulant matrices with the Lucas numbers
Abstract
Let k be a nonzero complex number. In this paper, we determine the eigenvalues of a k-circulant matrix whose first row is (L_{1},L_{2},...,L_{n}), where L_{n} is the n^{th} Lucas number, and improve the result which can be obtained from the result of Theorem 7. [25]. The Euclidean norm of such matrix is obtained. Bounds for the spectral norm of the Hadamard inverse of such matrix are also investigated. The obtained results are illustrated by examples.
Refbacks
- There are currently no refbacks.