摘要
基于正规矩阵、矩阵奇异值分解的理论和方法,对满足条件A^(*)=kA^(2)(0≠k=a+bi∈C)的矩阵A进行了研究.发现此类矩阵是一类正规矩阵;得到了矩阵A,以及两个适于上述条件的矩阵A与B的张量积的奇异值分解式;给出了n维复空间C^(n)关于矩阵A的核与-A的值域的分解,给出了相关矩阵函数序列收敛的一个例子.
Based on the concept of normal matrix,utilizing theory and method of singular value decomposition of matrix,the matrix A which satisfied A^(∗)=kA^(2)(0≠k=a+bi∈C)was explored,it is found that thematrix A is a new kind of norm matrix;especially the singular value decomposition forms of matrix A and the tensor product A⊗B of the same kind matrices A with B are investigated;and the result that the decomposition of complex space C^(n)on the Kerof matrix A with the Random of-A,and an example correlationconvergence matrix function series are also obtained.
作者
田咏梅
TIAN Yongmei(General Education Center,Zhengzhou Business University,Zhengzhou 451200,China)
出处
《商丘师范学院学报》
CAS
2023年第12期1-3,共3页
Journal of Shangqiu Normal University
基金
国家自然科学基金资助项目(11801529)
关键词
正规矩阵
张量积
奇异值分解
矩阵函数序列
norm matrix
tensor product
singular value decomposition
convergence matrix function sequence
