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<p>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.</p>

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Synthesis of the Weyl Matrix on the Square Lattice

  • 期刊论文

  • 发表日期：

    2026年4月15日

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  • Dongjie Wu,
  • Aiwei Guan,
  • Natalia Pavlovna Bondarenko,
  • Chuanfu Yang

摘要

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.