Primes in several classes of the positive matrices

The classification of primes in the semi-ring of the positive matrices is of interest to control and system theory. A few examples of primes in the positive matrices are known. In this paper results on the classification of primes in the positive matrices, in the doubly stochastic matrices, and in t...

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Bibliographic Details
Published in:Linear algebra and its applications 1998-06, Vol.277 (1), p.149-185
Main Authors: Picci, G., van den Hof, J.M., van Schuppen, J.H.
Format: Article
Language:English
Subjects:
Doubly stochastic circulant
Doubly stochastic matrix
Positive matrix
Prime
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Summary:The classification of primes in the semi-ring of the positive matrices is of interest to control and system theory. A few examples of primes in the positive matrices are known. In this paper results on the classification of primes in the positive matrices, in the doubly stochastic matrices, and in the doubly stochastic circulants are presented.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(97)10060-X