Cavity approach to the spectral density of non-Hermitian sparse matrices
Disordered Systems and Neural Networks
2009-11-13 v2
Abstract
The spectral densities of ensembles of non-Hermitian sparse random matrices are analysed using the cavity method. We present a set of equations from which the spectral density of a given ensemble can be efficiently and exactly calculated. Within this approach, the generalised Girko's law is recovered easily. We compare our results with direct diagonalisation for a number of random matrix ensembles, finding excellent agreement.
Keywords
Cite
@article{arxiv.0810.0991,
title = {Cavity approach to the spectral density of non-Hermitian sparse matrices},
author = {Tim Rogers and Isaac Perez Castillo},
journal= {arXiv preprint arXiv:0810.0991},
year = {2009}
}
Comments
4 pages, 3 figures