Synthesis of the Weyl matrix on the square lattice

Fuente: arXiv
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Auteurs principaux: Wu, Dongjie, Yang, ChuanFu, Bondarenko, Natalia Pavlovna
Format: Preprint
Publié: 2024
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author Wu, Dongjie
Yang, ChuanFu
Bondarenko, Natalia Pavlovna
author_facet Wu, Dongjie
Yang, ChuanFu
Bondarenko, Natalia Pavlovna
contents A method for successive synthesis of the Weyl matrix on the square lattice is proposed. It allows one to compute the Weyl matrix of a large graph by adding new edges and solving elementary systems of linear algebraic equations at each step. Synthesis of the Weyl matrix is useful to further study the inverse problems of the square lattice. Moreover, our approach can be extended to other types of periodic lattices.
format Preprint
id arxiv_https___arxiv_org_abs_2408_15285
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Synthesis of the Weyl matrix on the square lattice
Wu, Dongjie
Yang, ChuanFu
Bondarenko, Natalia Pavlovna
Mathematical Physics
A method for successive synthesis of the Weyl matrix on the square lattice is proposed. It allows one to compute the Weyl matrix of a large graph by adding new edges and solving elementary systems of linear algebraic equations at each step. Synthesis of the Weyl matrix is useful to further study the inverse problems of the square lattice. Moreover, our approach can be extended to other types of periodic lattices.
title Synthesis of the Weyl matrix on the square lattice
topic Mathematical Physics
url https://arxiv.org/abs/2408.15285