Linear preservers of circulant majorization on.

Abstract: Let be the set of all real matrices. An real matrix A is called circulant doubly stochastic if it is a convex combination of circulant permutation matrices. For , x is said to be circulant majorized by y (written as ), if there exists a circulant doubly stochastic matrix D such that . In this paper, the concept of circulant majorization is investigated and then the linear preservers and strong linear preservers of this concept are characterized on . [Copyright &y& Elsevier]