幂零矩阵的性质

Properties and Applications of Nilpotent Matrices

主要研究幂零矩阵的性质.为方便研究,先引进了一些定义和引理,如弱伴随矩阵、直积、k和、收敛矩阵等.在已有性质的基础上对幂零矩阵的性质给予了推广,并且利用引进的定义对幂零矩阵的一些新的性质进行了研究.

This article main research content is the properties of nilpotent matrix. Before studying the properties of nilpotent matrix,this paper introduced some definitions,such as weak adjoint matrix,Kronecker product,Kronecker sum,convergent matrix,etc. In the properties of nilpotent matrix,we generalize the properties of nilpotent matrix and investigate its some new properties.