Nonnegative matrices in the mathematical sciences. (English) Zbl 0484.15016

Berman, Abraham; Plemmons, Robert J.

Computer Science and Applied Mathematics. New York, San Francisco, London: Academic Press. XVIII, 316 p. $ 40.00 (1979).

MSC:

15B48	Positive matrices and their generalizations; cones of matrices
15-02	Research exposition (monographs, survey articles) pertaining to linear algebra
15A30	Algebraic systems of matrices
65F10	Iterative numerical methods for linear systems
15B51	Stochastic matrices
60J10	Markov chains (discrete-time Markov processes on discrete state spaces)
90C33	Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
93D25	Input-output approaches in control theory

Keywords:

invariant cone; nonnegative matrices; semi groups; inverse-positivity; M- matrices; iterative methods; finite Markov chains; input-output analysis; linear complementarity

Citations:

Zbl 0278.15011