Centre for Mathematics, University of Coimbra

<Reference List>
Type:	Preprint
National /International:	International
Title:	Inverses of k-Toeplitz matrices with applications to resonator arrays with multiple receivers
Publication Date:	2019-06-21
Authors:	- José Alberto - Jose Brox
Abstract:	We find closed-form algebraic formulas for the elements of the inverses of tridiagonal 2- and 3-Toeplitz matrices which are symmetric and have constant upper and lower diagonals. These matrices appear, respectively, as the impedance matrices of resonator arrays in which a receiver is placed over every 2 or 3 resonators. Consequently our formulas allow to compute the currents of a wireless power transfer system in closed form, allowing for a simple, exact and symbolic analysis thereof. Small numbers are chosen for illustrative purposes, but the elementary linear algebra techniques used can be extended to k-Toeplitz matrices of this special form with k arbitrary, hence resonator arrays with a receiver placed over every k resonators can be analysed in the same way.
Institution:	DMUC 19-22
Online version:	http://www.mat.uc.pt...prints/eng_2019.html
Download:	Not available
Notes:	Revised version: March 8, 2020.