关于Patel-Toda迹不等式的一个推广

摘要

王伯英等[Lin.Alg.Appl.,293(1999):39-49]将半正定Hermitian矩阵的Patel-Toda迹不等式V从迹推广到特征值.我们证明了这个结果在比"半正定"更弱的条件下也是成立的.%Bo-ying Wang, ect(1999) generalized the Patel-Toda inequality V from trace to eigenvalue,which is concerning of the trace of the positive definite Hermitian matrix. We prove that the conclusion holds in the more weaker condition than that of "positive seme-definite property".