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矩阵 
，定义
的每个特征值都位于至少一个圆盘中
是一个整数，其中 
，并设 
是第 
列中 
个最大非对角元素的量级之和。那么 
的每个特征值要么位于以下圆盘之一中
是 
的任何子集，使得 
(Brualdi and Mellendorf 1994)。