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Nonnegative Matrices in the Mathematical Sciences by Abraham Berman, Robert J. Plemmons (Paperback, 1987)

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Theory and applications of nonnegative matrices are blended here, and extensive references are included in each area. You will be led from the theory of positive operators via the Perron-Frobenius theory of nonnegative matrices and the theory of inverse positivity, to the widely used topic of M-matrices.