摘要
为了重新巩固Jordan阵理论的地位,使其更好地在科学研究领域发挥作用,从线性代数的基础理论之一—矩阵的特征值和特征向量的角度出发,论证了若当标准形理论的正确性,得出了任意(n×n)维矩阵都相似于某个若当标准形矩阵的结论。为得到这一结果,对某些特殊形式的矩阵进行了归纳,提出了新的定义,并对它们的性质进行了分析证明。
In recent years,some scholars cast doubt on the theory of λ-matrix.It affects Jordan matrix theory,which is always an important component of those subjects as linear algebra and matrix theory.For more contribution of Jordan matrix theory to scientific research,the theory of Jordan matrix using eigenvalue and eigenvectors of matrix is proved to be correct.The conclusion is that any square matrix can be turned into Jordan standard matrix by similar transformation.A special kind of matrix is classified for the...
出处
《控制工程》
CSCD
2008年第S2期35-37,共3页
Control Engineering of China
