TY - JOUR
T1 - Cavity approach to the spectral density of non-Hermitian sparse matrices
AU - Rogers, Tim
AU - Perez Castillo, Isaac
PY - 2009/1/21
Y1 - 2009/1/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=60349130737&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1103/PhysRevE.79.012101
UR - http://arxiv.org/abs/0810.0991
U2 - 10.1103/PhysRevE.79.012101
DO - 10.1103/PhysRevE.79.012101
M3 - Article
SN - 1539-3755
VL - 79
JO - Physical Review E
JF - Physical Review E
M1 - 012101
ER -