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Article

Inverse Problem for Ising Connection Matrix with Long-Range Interaction

Center of Optical Neural Technologies, Scientific Research Institute for System Analysis, Russian Academy of Sciences, Nakhimov Ave, 36-1, 117218 Moscow, Russia
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Academic Editors: Theodore E. Simos and Charampos Tsitouras
Mathematics 2021, 9(14), 1624; https://doi.org/10.3390/math9141624
Received: 11 June 2021 / Revised: 6 July 2021 / Accepted: 7 July 2021 / Published: 9 July 2021
(This article belongs to the Special Issue Numerical Analysis and Scientific Computing)
In the present paper, we examine Ising systems on d-dimensional hypercube lattices and solve an inverse problem where we have to determine interaction constants of an Ising connection matrix when we know a spectrum of its eigenvalues. In addition, we define restrictions allowing a random number sequence to be a connection matrix spectrum. We use the previously obtained analytical expressions for the eigenvalues of Ising connection matrices accounting for an arbitrary long-range interaction and supposing periodic boundary conditions. View Full-Text
Keywords: Ising connection matrix; long-range interaction; eigenvalues; inverse problem Ising connection matrix; long-range interaction; eigenvalues; inverse problem
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MDPI and ACS Style

Litinskii, L.; Kryzhanovsky, B. Inverse Problem for Ising Connection Matrix with Long-Range Interaction. Mathematics 2021, 9, 1624. https://doi.org/10.3390/math9141624

AMA Style

Litinskii L, Kryzhanovsky B. Inverse Problem for Ising Connection Matrix with Long-Range Interaction. Mathematics. 2021; 9(14):1624. https://doi.org/10.3390/math9141624

Chicago/Turabian Style

Litinskii, Leonid, and Boris Kryzhanovsky. 2021. "Inverse Problem for Ising Connection Matrix with Long-Range Interaction" Mathematics 9, no. 14: 1624. https://doi.org/10.3390/math9141624

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