We consider the Gaussian Leonardo numbers and investigate some of their amazing
characteristic properties, including their generating function, the associated Binet formula …

This survey revisits Jenő Egerváry and Otto Szász's article of 1928 on trigonometric
polynomials and simple structured matrices focussing mainly on the latter topic. In particular …

In this paper, we present a new breakdown-free recursive algorithm for computing the
determinants of periodic tridiagonal matrices via a three-term recurrence. Even though the …

Two symbolic algorithms for inverting k-tridiagonal matrices have been recently found by El-
Mikkawy and Atlan (2014, 2015). These two algorithms are mainly based on the Doolittle LU …

Tridiagonal matrices and quasi-tridiagonal matrices frequently arise in the numerical
simulations of biosensors and electrochemical systems, and have attracted attention in the …

In the present article we give a new breakdown-free recursive algorithm for inverting general
k-tridiagonal matrices without imposing any simplifying assumptions. The implementation of …

In the current paper, we present a numerical algorithm for computing the determinants of
block k-tridiagonal matrices. The algorithm is based on the use of a fast block …

In this article we present a method to speed up the singular value decomposition (SVD) of a
general k-tridiagonal matrix using its block diagonalization. We show a O (n 3/k 3) parallel …

In this paper, we present an efficient numerical algorithm for evaluating the determinants of
general bordered k-tridiagonal matrices in linear time. The algorithm is based on a novel …

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 …