Physics – Mathematical Physics
Scientific paper
2004-01-20
Phys.Rev. E69 (2004) 065101
Physics
Mathematical Physics
Scientific paper
10.1103/PhysRevE.69.065101
Using a character expansion method, we calculate exactly the eigenvalue density of random matrices of the form M^\dagger M where M is a complex matrix drawn from a normalized distribution P(M) ~ exp(-\Tr(A M B M^\dagger) with A and B positive definite (square) matrices of arbitrary dimensions. Such so-called ``correlated Wishart matrices'' occur in many fields ranging from information theory to multivariate analysis.
Moustakas Aris L.
Simon Steven H.
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