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1)  minimal g-inverse
极小g-逆
2)  minimum norm g-inverse
极小范数g逆
3)  least-squares g-inverse
最小二乘g逆
4)  g-inverse
g-逆
1.
The way to determine the reflexive g-inverse of full rank matrix A was discussed.
讨论了当矩阵A为满秩矩阵时求其反射g-逆的方法,并将此方法推广,给出当A为非满秩矩阵时求反射g-逆的一般方法,同时对每一种情况给出了具体的算例。
2.
By applying a decomposition of pairwise matrices,we give some equivalent conditions for two m×n matrices being block independent in g-inverse and reflexive g-inverse over a division ring.
通过使用除环上具有同行或同列的双矩阵分解定理,给出了除环上两个同阶矩阵的g-逆和自反g-逆具有子块独立性的充分必要条件。
3.
By applying the decomposition theorem, we obtain some neccessary and sufficient conditions of reverse order laws for g-inverse and reflexive g-inverse of matrix products on an arbitrary skew field.
利用该分解定理作为工具,获得了任意体上矩阵乘积的g一逆和自反g-逆的反序律的充分必要条件。
5)  g inverse
g逆
1.
Necessary and sufficient conditions are established for the product AB -C to have its numerical characters invariant with respect to every minimum norm g inverse, respectively.
利用矩阵论和线性模型理论研究矩阵乘积数值特征的不变性及在统计中的应用 ,给出了乘积AB- C的数值特征和关于每个最小模g逆不变的充分必要条件 。
6)  minimum norm generalized inverses
极小范数广义逆
1.
In this paper, we present two more general recursive relations for computing the minimum norm generalized inverses and the inverses of the Cline partitioned matrix by utilizing the minimum-norm least square method, which generalizes the existed results.
本文利用范数极小化方法给出了计算Cline分块矩阵的极小范数广义逆及逆的两个一般递推表示式,推广了已有的结果。
补充资料:提婆五逆与三逆
【提婆五逆与三逆】
 (故事)(参见:五逆)
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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