4 papers
Arithmetic triangular structures in the transfer-matrix of finite Kronig-Penney models
Lidia Aceto, Pietro Antonio Grassi, Helmuth Robert Malonek
This work provides a complete analytical characterization of the transfer- matrix structure associated with the finite Kronig-Penney model consisting of one-dimensional arrays of D…
Clifford-Appell formulation of a Dirac-type Kronig-Penney model in condensed matter physics
L. Aceto, P. A. Grassi, H. Malonek
We investigate the stationary Dirac equation associated with a generalized Kronig-Penney model in (N+1)-dimensional Clifford analysis. Away from the interaction sites, the free Dir…
Scaling-and-squaring method for computing the inverses of matrix -functions
Lidia Aceto, Luca Gemignani
This paper aims to develop efficient numerical methods for computing the inverse of matrix -functions, , for when is a lar…
Computing the Action of the Generating Function of Bernoulli Polynomials on a Matrix with An Application to Non-local Boundary Value Problems
Lidia Aceto, Luca Gemignani
This paper deals with efficient numerical methods for computing the action of the generating function of Bernoulli polynomials, say , on a typically large sparse matrix. Th…