1995
Primes in the doubly stochastic circulants
Publication
Publication
The algebraic structure of the set of doubly stochastic circulants is that of a semi-ring. The concept of a prime in the doubly stochastic circulants is introduced in this paper and examples are given. The classification of a prime in the doubly stochastic circulants is equivalent to the solvability of a linear equation over a doubly stochastic circulant. A representation of doubly stochastic circulants as polynomials in the quotient semi-ring of $R_+[z]$ is presented.
Additional Metadata | |
---|---|
, , | |
CWI | |
Department of Operations Research, Statistics, and System Theory [BS] | |
Organisation | System and control theory |
Picci, G., van den Hof, J. M., & van Schuppen, J. (1995). Primes in the doubly stochastic circulants. Department of Operations Research, Statistics, and System Theory [BS]. CWI. |