Nonnegative Matrices in the Mathematical Sciencesby Abraham Berman, Robert J. Plemmons
Pub. Date: 01/28/1994
Here is a valuable text and research tool for scientists and engineers who use or work with theory and computation associated with practical problems relating to Markov chains and queuing networks, economic analysis, or mathematical programming. Originally published in 1979, this new edition adds material that updates the subject relative to developments from 1979 to 1993. 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.
Table of Contents1. Matrices which leave a cone invariant; 2. Nonnegative matrices; 3. Semigroups of nonnegative matrices; 4. Symmetric nonnegative matrices; 5. Generalized inverse- Positivity; 6. M-matrices; 7. Iterative methods for linear systems; 8. Finite Markov Chains; 9. Input-output analysis in economics; 10. The Linear complementarity problem; 11. Supplement 1979-1993; References; Index.
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