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Demidenko, E. (2006) Separable Laplace Equation, Magic Toeplitz Matrix, and Generalized Ohm’s Law. Applied Mathematics and Computations, 181, 1313-1327.
https://doi.org/10.1016/j.amc.2006.02.030

has been cited by the following article:

• TITLE: Applications of Symmetric Circulant Matrices to Isotropic Markov Chain Models and Electrical Impedance Tomography

  AUTHORS: Eugene Demidenko

  KEYWORDS: Circulant Matrix, Electrical Impedance Tomography, Laplace Equation, Markov Chain, Ohm’s Law

  JOURNAL NAME: Advances in Pure Mathematics, Vol.7 No.2, February 9, 2017

  ABSTRACT: Symmetric circulant matrices (or shortly symmetric circulants) are a very special class of matrices sometimes arising in problems of discrete periodic convolutions with symmetric kernel. First, we collect major properties of symmetric circulants scattered through the literature. Second, we report two new applications of these matrices to isotropic Markov chain models and electrical impedance tomography on a homogeneous disk with equidistant electrodes. A new special function is introduced for computation of the Ohm’s matrix. The latter application is illustrated with estimation of the resistivity of gelatin using an electrical impedance tomography setup.