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- W3012773955 abstract "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." @default.
- W3012773955 created "2020-03-27" @default.
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- W3012773955 date "2020-07-01" @default.
- W3012773955 modified "2023-09-24" @default.
- W3012773955 title "Inverses of k-Toeplitz matrices with applications to resonator arrays with multiple receivers" @default.
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- W3012773955 doi "https://doi.org/10.1016/j.amc.2020.125185" @default.
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