4.6 Article

Birkhoff's polytope and unistochastic matrices, N=3 and N=4

Journal

COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 259, Issue 2, Pages 307-324

Publisher

SPRINGER
DOI: 10.1007/s00220-005-1392-8

Keywords

-

Ask authors/readers for more resources

The set of bistochastic or doubly stochastic N x N matrices is a convex set called Birkhoff's polytope, which we describe in some detail. Our problem is to characterize the set of unistochastic matrices as a subset of Birkhoff's polytope. For N=3 we present fairly complete results. For N=4 partial results are obtained. An interesting difference between the two cases is that there is a ball of unistochastic matrices around the van der Waerden matrix for N=3, while this is not the case for N=4.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available