# A solution of a nonlinear system arising in spectral perturbation theory of nonnegative matrices

@inproceedings{Rothblum1997ASO, title={A solution of a nonlinear system arising in spectral perturbation theory of nonnegative matrices}, author={Uriel G. Rothblum and Hans Schneider}, year={1997} }

- Published 1997
DOI:10.1016/s0024-3795(96)00154-1

Abstract Let P and E be two n × n complex matrices such that for sufficiently small positive e, P + eE is nonnegative and irreducible. It is known that the spectral radius of P + eE and corresponding (normalized) eigenvector have fractional power series expansions. The goal of the paper is to develop an algorithm for computing the coefficients of these expansions under two (restrictive) assumptions, namely that P has a single Jordan block corresponding to its spectral radius and that the… CONTINUE READING

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