Inverses of \(k\)-Toeplitz matrices with applications to resonator arrays with multiple receivers

DOI10.1016/J.AMC.2020.125185OpenAlexW3012773955MaRDI QIDQ2177875

José Alberto, Jose Brox

Publication date: 7 May 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125185

zbMATH Keywords

efficiencycurrentsdeterminantinversewireless power transferresonator arraymultiple receiversclosed-form formulastridiagonal \(k\)-Toeplitz matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Analytic circuit theory (94C05) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• The eigenproblem of a tridiagonal 2-Toeplitz matrix
• Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings
• Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
• On some tridiagonal \(k\)-Toeplitz matrices: Algebraic and analytical aspects. applications
• On the Application of a Generalization of Toeplitz Matrices to the Numerical Solution of Integral Equations with Weakly Singular Convolution Kernels
• Explicit inverses of some tridiagonal matrices

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