In this paper we analyze the eigenvalues of some perturbed Jacobi matrices. The results
contain as particular cases the known spectra of several classes of tridiagonal matrices …

Abstract (p, q)-Pentadiagonal matrices have attracted considerable attention in the past few
years, which are one of the generalizations of pentadiagonal matrices. In the current paper …

In this paper, we firstly derive a general expression for the entries of the mth (m∈ ℕ) power
for two certain types of tridiagonal matrices of arbitrary order. Secondly, we present a …

Recently, computing the integer powers of tridiagonal matrices has been a very popular
problem. Tridiagonal matrices are used in different areas of science and engineering, for …

In this work, we explore an extension of the Omega calculus in the context of matrix analysis
introduced recently by Neto [Matrix analysis and Omega calculus. SIAM Rev. 2020; 62 (1) …

As a generalization of the tridiagonal matrices, k-tridiagonal matrices have been attracted
much attention in the last few years. In this paper, we present an explicit expression for the …

In this note, we consider a generalized Fibonacci sequence {qn}. Then give a connection
between the sequence {qn} and the Chebyshev polynomials of the second kind Un (x). With …

In this paper, firstly we derive a general expression for the mth power (m∈ N) for one type of
tridiagonal matrices of even order. Secondly we present a method for computing integer …

Rimas (2005a, 2005b, 2006a, 2006b) studied positive integer powers of some tridiagonal
matrices. Öteles and Akbulak (2013, 2014) obtained integer powers and complex …

arXiv:1403.6696v1 [math.NA] 26 Mar 2014 Page 1 arXiv:1403.6696v1 [math.NA] 26 Mar
2014 Integer powers of certain complex tridiagonal matrices and some complex factorizations …