摘要
通过对算法进行计算机编程,计算8阶上三角幂零矩阵在可逆上三角矩阵变换下的所有402个不可分解标准形,其中333个标准形不含参数,有65个标准形仅含1个参数,有4个标准形含2个参数.
Based on the Python procedure of Belitskii algorithm,all the indeconposable Belitskii's canonical forms of upper triangular nilpotent matrices of order 8 under upper triangular similarity were calculated.It is shown that there are 402 indecomposable Belitskii's canonical forms,where there are 333 non-parameterized indecomposable Belitskii's canonical forms,65 one-parameterized ones and 4 two-parameterized ones.
作者
张恩萍
刘星月
王一帆
ZHANG Enping;LIU Xingyue;WANG Yifan(Chucai Honors College,Hubei University,Wuhan 430062,China;Faculty of Mathematics and Statistics,Hubei University,Wuhan 430062,China;School of Computer Science and Information Engineering,Hubei University,Wuhan 430062,China)
出处
《湖北大学学报(自然科学版)》
CAS
2023年第5期679-683,共5页
Journal of Hubei University:Natural Science
基金
湖北大学楚才学院科研立项(20202211068)资助。