Firstly,an upper bound is given for the sum of square modules of eigenvalues. The result is proven that it can get better bound for some special matrixes.
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廖平,赵丹,王龙,赵凤鸣. Schur不等式的一个注记[J].重庆工商大学学报(自然科学版),2015,32(11):54-56 LIAO Ping, ZHAO Dan, WANG Long, ZHAO Fengming. On the Schur Inequality[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2015,32(11):54-56