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


Reference:

Rogers, T. and Perez Castillo, I., 2009. Cavity approach to the spectral density of non-Hermitian sparse matrices. Physical Review E, 79, 012101.

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Official URL:

http://dx.doi.org/10.1103/PhysRevE.79.012101

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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.

Details

Item Type Articles
CreatorsRogers, T.and Perez Castillo, I.
DOI10.1103/PhysRevE.79.012101
Related URLs
URLURL Type
http://arxiv.org/abs/0810.0991Free Full-text
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code32171

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