This survey paper summarizes the more important recent applications of the eigenpairs
formulas for a family of tridiagonal matrices based on Losonczi's seminal work of almost …

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 note, we propose a research problem and two conjectures on the determinant of
pentadiagonal matrices. At the same, we recall some results on pentadiagonal matrices and …

The explicit determinants, inverses and eigenpairs of periodic tridiagonal Toeplitz-like
matrices with perturbed rows are presented in this paper. We derive the representation of …

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, tridiagonal Toeplitz matrix (type I, type II) with opposite-bordered rows are
introduced. Main attention is paid to calculate the determinants, the inverses and the …

In this paper, we study periodic tridiagonal Toeplitz matrices with perturbed corners. By
using some matrix transformations, the Schur complement and matrix decompositions …

In the context of matrix displacement decomposition, Bozzo and Di Fiore introduced the so-
called τ ε, φ algebra, a generalization of the well known τ algebra. We study the properties of …

The NP-hard maximum-entropy sampling problem (MESP) seeks a maximum (log-)
determinant principal submatrix, of a given order, from an input covariance matrix C. We give …

In this paper, our main attention is paid to calculate the determinants and inverses of two
types Toeplitz and Hankel tridiagonal matrices with perturbed columns. Specifically, the …