English

The Application of Tridiagonal Matrices in P-polynomial Table Algebras

Combinatorics 2019-06-17 v1

Abstract

In this paper, we study the characters of two classes of P-polynomial table algebras using tridiagonal matrices. To this end, we obtain some results about the eigen-structure of special tridiagonal matrices. We also find a recursive relation for the characteristic polynomial of the first intersection matrix of P-polynomial table algebras by means of LU factorization.

Keywords

Cite

@article{arxiv.1906.06135,
  title  = {The Application of Tridiagonal Matrices in P-polynomial Table Algebras},
  author = {Masoumeh Koohestani and Amir Rahnamai Barghi and Amirhossein Amiraslani},
  journal= {arXiv preprint arXiv:1906.06135},
  year   = {2019}
}