
唯一分解整环上的矩阵分解问题
Problems of Matrix Factorization over Unique Factorization Domain
主要讨论唯一分解整环上矩阵的子式素分解和因子素分解问题, 得到该环上判别任意矩阵是否具有子式素分解的充分必要条件, 并对行满秩矩阵给出其关于其正则因子是否存在因子素分解的判定条件.
We investigate the problems of minor prime factorization and factor prime factorization for matrices over UFD. The sufficient and necessary condition for the existence of minor prime factorization or factor prime factorization for matrices over UFD are obtained. For matrices of full row rank, we present conditions for determining the existence of their factor prime factorizations with respect to their regular factors.
矩阵分解 / 子式素分解 / 因子素分解 / 唯一分解整环. {{custom_keyword}} /
/
〈 |
|
〉 |