Agapitos Hatzinikitas
Published 2007-11-07Version 1
In this work we provide a novel approach for computing the coefficients of the characteristic polynomial of a square matrix. We demonstrate that each coefficient can be efficiently represented by a set of circle graphs. Thus, one can employ a diagrammatic approach to determine the coefficients of the characteristic polynomial.
Joint moments of a characteristic polynomial and its derivative for the circular $β$-ensemble
Moments of characteristic polynomials for classical $β$ ensembles
Moments of the derivative of the characteristic polynomial of unitary matrices
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