论文标题
伪观察和同时的电力控制
Pseudospectra and Simultaneous Power Control
论文作者
论文摘要
我们证明，对于$ m> 0 $和$ n，m \ ge2 $，我们可以找到两个$ 10 \ times10 $矩阵$ a $ a $和$ b $，并带有相同的pseudospectra，以便我们同时拥有$ \ | a^n \ |/\ |/\ |/\ | | b^n \ |> m $和$ $ $和$ \ | a^m $ \ | a^m \ |/\ |/\ | | |我们还证明，在某些条件下，此结果可用于另外两个$ a $ a $ a和$ b $的通用功能。
We prove that, for $M>0$ and $n,m\ge2$, we can find two $10\times10$ matrices $A$ and $B$ with identical pseudospectra such that we have simultaneously $\|A^n\|/\|B^n\|>M$ and $\|A^m\|/\|B^m\|>M$. We also prove that, under certain conditions, this result holds for two more general functions of $A$ and $B$.
