Many living and complex systems exhibit second-order emergent dynamics. Limited
experimental access to the configurational degrees of freedom results in data that appear to …

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 …

Some comments on k-tridiagonal matrices: Determinant, spectra, and inversion - ScienceDirect
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In the current paper, we present a symbolic algorithm, that never suffers from breakdown, for
computing the inverse of general bordered tridiagonal matrices. Meanwhile, an explicit …

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 paper, we mainly consider finding an explicit formula for the inverse of a
pentadiagonal Toeplitz matrix. For that purpose, we first factorize the modified form of a …

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 deal mainly with a class of periodic tridiagonal Toeplitz matrices with
perturbed corners. By matrix decomposition with the Sherman–Morrison–Woodbury formula …

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 …

Abstract k-Tridiagonal matrices have attracted much attention in recent years, which are a
generalization of tridiagonal matrices. In this note, a breakdown-free numerical algorithm of …