摘要
给出了m×n矩阵k次广义迹的概念,并研究了其性质,在此基础上得到了m×n矩阵k次广义迹是矩阵全体特征值的k次初等对称多项式.
In this paper we present and research the concept and properties of the k-order generalized trace of am×n Matrix is equal to the elementary symmetrical polynomial of degree k in all eigenvalues of the matrix.
出处
《河南科学》
2012年第2期149-152,共4页
Henan Science
基金
国家自然科学基金(10771169)
关键词
方阵的迹
方阵的k次广义迹
m×n矩阵k次广义迹
初等对称多项式
square matrix trace: the k-order generalized trace of a square matrix
the k-order generalized traceof a m×n matrix: elementary symmetrical polynomial