Complex spectrally arbitrary zero-nonzero patterns

被引：6

作者：

McDonald, J. J. ^{[1
]}

Yielding, A. A. ^{[2
]}

机构：

[1] Washington State Univ, Dept Math, Pullman, WA 99164 USA

[2] Eastern Oregon Univ, Dept Math, La Grande, OR 97850 USA

来源：

LINEAR & MULTILINEAR ALGEBRA | 2012年 / 60卷 / 01期

关键词：

spectrally arbitrary; zero-nonzero patterns; complex matrices; SIGN PATTERNS; MATRICES; ORDER-4;

D O I：

10.1080/03081087.2010.512730

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we highlight interesting properties of complex spectrally arbitrary zero-nonzero patterns. In particular, we investigate irreducible complex spectrally arbitrary zero-nonzero patterns for which all Jacobians are zero at every nilpotent realization. We also study complex spectrally arbitrary patterns whose corresponding directed graph does not contain a two-cycle. Lastly, we provide a complete list of all 3 x 3 and 4 x 4 complex spectrally arbitrary zero-nonzero patterns.

引用

页码：11 / 26

页数：16

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