摘要
讨论了矩阵的和与其加项之间,在等价关系及(对称阵的)合同关系上的联系.并进一步讨论了矩阵和的非零特征值与其加项的非零特征值之间的联系,给出了C ra ig定理的一个代数形式和代数证明.
The relation between the equivalent canonical form of a sum of matrices and of its summand's is studied in this paper. The relation of the non-zero eigenvalues of a sum of matrices to of its summand's is considered too. A algebraic form and proof of the Craig's Theorem is given also.
出处
《数学的实践与认识》
CSCD
北大核心
2005年第10期153-156,共4页
Mathematics in Practice and Theory
基金
贵州省教育厅自然科学基金资助项目(2002303)