Name
Title | ||
|---|---|---|
Inverses of -Toeplitz matrices with applications to resonator arrays with multiple receivers. |
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. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.amc.2020.125185 | Applied Mathematics and Computation |
Keywords | DocType | Volume |
Tridiagonal k-Toeplitz matrix,Determinant,Inverse,Wireless power transfer,Resonator array,Multiple receivers,Currents,Efficiency,Closed-form formulas | Journal | 377 |
ISSN | Citations | PageRank |
0096-3003 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| José Alberto | 1 | 0 | 0.34 |
| Jose Brox | 2 | 0 | 0.34 |