Primes in the doubly stochastic circulants
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.
|Positive matrices and their generalizations; cones of matrices (msc 15B48), Factorization of matrices (msc 15A23), Stochastic matrices (msc 15B51)|
|Department of Operations Research, Statistics, and System Theory [BS]|
|Organisation||System and control theory|
Picci, G, van den Hof, J.M, & van Schuppen, J.H. (1995). Primes in the doubly stochastic circulants. Department of Operations Research, Statistics, and System Theory [BS]. CWI.