关于Wielandt-Hoffman定理的一些结果

Some Results on Wielandt-Hoffman Theorem

本文给出了Wielandt-Hoffman定理的一个对称结果和若干推广结果。主要结论如下: 设A、B、C均为n×n阶实对称阵,它们的特征值依次为,如果B=C+A,则下列不等式成立: 如果B=C=A,则。

In this paper, some results for Wielandt-Hoffman theorem have been proved. Let A,B,C be n×n symmetrical matrices, them their characteristic values are α1≥α2≥…≥ αn,β1≥β2≥…≥βn,y1≥y2≥…≥ ynrespectively. If B=C+A,The following imequalities are true : a) b) c) d) If B=C-A then trB2≥