关于矩阵per－相合数值域的一种扩充

On an Extension of the per-Congruence Numerical Range of a Matrix

对于Ａ∈Ｃｎ×ｎ扩充的ｐｅｒ－相合数值域是指集合笔者证明了当ｎ≥３时，ＲｎＴｎ（Ａ）在复平面上为中心在原点的圆面．

For A∈Cn×n, the extended per-congruence numerical range of A is the set In this paper, it is proved that R(A) is a disk centred at the origin in the complex plane provided that n≥3.