摘要
先证明了n阶次对称矩阵构成的子空间的完备性和n阶次Hermite矩阵集是Cn×n的闭子集,然后讨论了次Hermite矩阵谱半径与其次特征值的关系和在矩阵序列及矩阵幂级数中的应用,最后讨论了奇异的次Hermite矩阵的广义逆矩阵的结构及在解线性方程组中的应用.
At first,it is proved that n-degree suh-symmery matrix set is a complete subspace of R^n×n and sub-herrnitian matrix set is a closed subset of C^n×n. Then, the relationship of both spectral radius of sub-hermitian matrix with characteristic value of sub-hermitian matrix is discussed. Finally, the structure is deduced on generalized inverse matrix of sub-hermitian matrix and its application in the solution of linear equation group.
出处
《天津师范大学学报（自然科学版）》
CAS
2006年第3期39-41,44,共4页
Journal of Tianjin Normal University：Natural Science Edition
关键词
次HERMITE矩阵
次特征值
广义逆矩阵
sub-hermitian matrix
sub-characteristic valuer generalized inverse matrix
