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

页码：342 / 348

页数：7

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