Cavity approach to the spectral density of non-Hermitian sparse matrices
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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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.
|Creators||Rogers, T.and Perez Castillo, I.|
|Departments||Faculty of Science > Mathematical Sciences|
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