一类含有3n个非零元的谱任意ray模式  

Class of Spectrally Arbitrary ray Patterns with 3n Nonzero Entries

作　　者：张蓉[1] 高玉斌[1] ZHANG Rong GAO Yu-bin(School of Science, North University of China,Taiyuan 030051, China)

机构地区：[1]中北大学理学院,太原030051

出　　处：《重庆理工大学学报（自然科学）》2017年第2期157-162,共6页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(11071227);山西省回国留学人员科研资助项目(12-070)

摘　　要：若对任意n次首一复系数多项式f(λ),都存在复矩阵A∈Q(P),使得A的特征多项式为f(λ),则称ray模式矩阵P为谱任意的。本文利用幂零-雅克比方法证明了一类含有3n个非零元的n阶ray模式及其母模式为谱任意的。A ray pattern P is spectrally arbitrary if given any monic polynomial f（λ） of order n with complex coefficients,and there exists A∈Q（P）,thus the characteristic polynomial of A is f（λ）.A class ray pattern of order n matrix with nonzero entries was presented.It is show that this ray pattern and its superpattern are spectrally arbitrary by nilpotent-Jacobi method.

关 键 词：幂零雅克比 谱任意 符号模式 ray模式 

分 类 号：O157[理学—数学]