控制不等式与随机矩阵

Majorization and stochastic matrix

利用半正定初等随机矩阵研究了控制不等式,得到了当x,y∈Rn且x=x↓,y=y↓时,x<y,x<wy,x<wy成立的充要条件。

Semi-positive definite elementary stochastic matrices are used to give a characterization of majorization :for if any x,y∈R n and x=x↓,y=y ↓,the sufficient and necessary condition of x < y,x < wy,x < wy is discussed.