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Some Properties of Hadamard Products Involving the Sign Matrix and Their Applications

Ding Shuliang (Department of Computer,Jiangxi Normal University,Nanchang 330027)  
In this paper,the sign matrix and some of its properties (such as eigenvalues,rank,trace,determinant of the product matrix of the sign matrix and some matrix) are introduced.Some of these results are employed to analyse the trace inequality given by Li Hongxi and Leng Gangsong.And a series of inequalites is derived.These results are applied to estimate the boundary of the trace of the difference between the variance matrices of GCIE and CIE in SURS when m=2 and ∑0 is know.
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