中北大学学报（自然科学版）2017，Vol.38Issue(2)：114-118,5.DOI:10.3969/j.issn.1673-3193.2017.02.004
一类含有3n个非零元的谱任意ray模式
A Class of Spectrally Arbitrary Ray Patterns with 3n Nonzero Entries
摘要
Abstract
Using matrix eigenvalue theory,a class of n × n ray pattern matrices with 3n nonzero entries was studied.Take any n×n complex matrix belonged to the qualitative matrix class of the above ray pattern.The characteristic polynomial of this complex matrix was obtained.By the method of mathematical analysis,we found the condition that this complex matrix is nilpotent.Finally,we verify that the ray patterns and all superpatterns are spectrally arbitrary by Nilpotent-Jacobian method.关键词
幂零-雅可比/ray模式/谱任意/蕴含幂零Key words
Nilpotent-Jacobian method/ray pattern/spectrally arbitrary pattern/potentially nilpotent分类
数理科学引用本文复制引用
霍英杰,乔晓玲,邵燕灵..一类含有3n个非零元的谱任意ray模式[J].中北大学学报（自然科学版）,2017,38(2):114-118,5.基金项目
国家自然科学基金资助项目(11071227) （11071227）
山西省回国留学人员科研资助项目(12-070) （12-070）
