Spectral properties for a type of heptadiagonal symmetric matrices
Rings and Algebras
2019-07-17 v1
Abstract
In this paper we express the eigenvalues of a sort of real heptadiagonal symmetric matrices as the zeros of explicit rational functions establishing upper and lower bounds for each of them. From these prescribed eigenvalues we compute also eigenvectors for these type of matrices. A formula not depending on any unknown parameter for the determinant and the inverse of these heptadiagonal matrices is still provided.
Keywords
Cite
@article{arxiv.1907.06942,
title = {Spectral properties for a type of heptadiagonal symmetric matrices},
author = {João Lita da Silva},
journal= {arXiv preprint arXiv:1907.06942},
year = {2019}
}
Comments
18 pages