Within the symmetric inverse eigenvalue problem, the case of bisymmetric Jacobi matrices
occupies a central place, since for any strictly monotone list of n real numbers there exists a …

A class of tridiagonal matrices are examined and characterized. Their spectrum, the left and
right eigenvectors as well as their scalar products will be determined. The determinants of …

ABSTRACT The Sylvester–Kac matrix, sometimes known as Clement matrix, has many
extensions and applications throughout more than a century of its existence. The …

We propose a time-independent Hamiltonian protocol for the reversal of qubit ordering in a
chain of N spins. Our protocol has an easily implementable nearest-neighbor, transverse …

Abstract The Sylvester–Kac matrix (also known as the Clement matrix) and its
generalizations are of interest to researchers in diverse fields. A new parameterization of the …

In this paper, we consider a new Sylvester-Kac matrix, ie, Fibonacci-Sylvester-Kac matrix.
We discuss the eigenvalues, eigenvectors and characteristic polynomial of this matrix in two …

Abstract The Sylvester–Kac matrix, also known as Clement matrix, has many extensions and
applications. The evaluation of determinant and spectra of many of its generalizations …

A real persymmetric Jacobi matrix of order n whose eigenvalues are {2 k 2} k= 0 n− 1 is
presented, with entries given as explicit functions of n. Besides the possible use for testing …

An observation on the determinant of a Sylvester-Kac type matrix Page 1 DOI: 10.2478/auom-2020-0008
An. St. Univ. Ovidius Constanta Vol. 28(1),2020, 111–115 An observation on the determinant …

This paper proposes a method for a fast estimation of the largest eigenvalue of an
asymmetric tridiagonal matrix. The proposed method is based on the Power method and the …