Spectral Properties of Small Hadamard Matrices
Spectral Theory
2014-09-23 v2
Abstract
We prove that if and are Hadamard matrices which are both of size or and in dephased form, then implies that and have the same eigenvalues, including multiplicity. We calculate explicitly the spectrum for these matrices. We also extend these results to larger Hadamard matrices which are permutations of the Fourier matrix and calculate their spectral multiplicities.
Keywords
Cite
@article{arxiv.1409.1176,
title = {Spectral Properties of Small Hadamard Matrices},
author = {Dorin Ervin Dutkay and Eric Weber and John Haussermann},
journal= {arXiv preprint arXiv:1409.1176},
year = {2014}
}