RT info:eu-repo/semantics/article
T1 Inverses of k-Toeplitz matrices with applications to resonator arrays with multiple receivers
A1 Alberto, José
A1 Brox, Jose
K1 resonadores magnéticos, transferencia de energía sin cables, matrices tridiagonales, determinante, inversa
AB 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.
PB Elsevier
SN 0096-3003
YR 2020
FD 2020
LK https://uvadoc.uva.es/handle/10324/74803
UL https://uvadoc.uva.es/handle/10324/74803
LA spa
NO Applied Mathematics and Computation, Julio 2020, vol. 377, artículo n. 125185, 14 pp.
NO Producción Científica
DS UVaDOC
RD 05-feb-2025