利用分块矩阵和初等变换的性质给出了3种证明Sylvester不等式的方法,并得到了Sylvester不等式的本质及其等号成立的充要条件.%In this paper ,by using the properties of elementary transformation and partitioned matrices we give three method to prove Sylvester inequality and we explore the nature of the Sylvester inequality and the necessary and sufficient conditions when equals established.
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