Cavity approach to the spectral density of non-Hermitian sparse matrices

Tim Rogers, Isaac Perez Castillo

Research output: Contribution to journalArticle

36 Citations (Scopus)

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.
Original languageEnglish
Article number012101
Number of pages4
JournalPhysical Review E
Volume79
DOIs
Publication statusPublished - 21 Jan 2009

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