Wielandt不等式矩阵形式的一些推广

Some Generalized Matrix Versions of the Wielandt Inequalities

Wielandt不等式是对Cauchy-Schwarz不等式的一种改进.利用矩阵Schur补的方法,得到关于正定Herimite阵的一些矩阵形式的Wielandt型不等式,所得结果是Wielandt不等式的更一般形式的表达式.

The Wielandt inequality is an improvement on the general Cauchy-Schwarz inequality. In this paper,matrix versions of Wielandt inequality on positive definite matrices are studied by using Schur complement method, some matrix versions of Wielandt inequality are derived, and these results are general-ization of the Wielandt inequality for the positive definite matrix.