Quadratically normal matrices of type 1 and unitary similarities between them

被引：0
|
作者：
Ikramov, Kh. D. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2009年 / 86卷 / 3-4期
关键词：
unitary similarity; quadratic normal matrices; quadratic minimal polynomials; cubic minimal polynomials; Jordan form; OPERATORS;
D O I：
10.1134/S0001434609090065
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Verification of the unitary similarity between matrices having quadratic minimal polynomials is known to be much cheaper than the use of the general Specht-Pearcy criterion. Such an economy is possible due to the following fact: n x n matrices A and B with quadratic minimal polynomials are unitarily similar if and only if A and B have the same eigenvalues and the same singular values. It is shown that this fact is also valid for a subclass of matrices with cubic minimal polynomials, namely, quadratically normal matrices of type 1.
引用
收藏
页码：342 / 348
页数：7
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