On tridiagonal conjugate-normal matrices
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- 作者：Kh. D. Ikramov (1) ikramov@cs.msu.su
- 关键词：normal matrix ; conjugate ; normal matrix ; irreducible tridiagonal matrix ; polynomial in a matrix ; coneigenvalues
- 刊名：Computational Mathematics and Mathematical Physics
- 出版时间：February 2007
- 出版年：2007
- 期刊代码：pc576_0965-5425
- 类别：mat
- 卷：47
- 期：2
- 页码：173-179
- 数据来源：sp
摘要
Conjugate-normal matrices play the same role in the theory of unitary congruences as conventional normal matrices do with respect to unitary similarities. Naturally, the properties of both matrix classes are fairly similar up to the distinction between the congruence and similarity. However, in certain respects, conjugate-normal matrices differ substantially from normal ones. Our goal in this paper is to indicate one of such distinctions. It is shown that none of the familiar characterizations of normal matrices having the irreducible tridiagonal form has a natural counterpart in the case of conjugate-normal matrices.