Two generalized constrained inverses based on the core part of the Core-EP decomposition of a complex matrix
Two generalized constrained inverses based on the core part of the Core-EP decomposition of a complex matrix
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DOI：
10.2306/scienceasia1513-1874.2024.005
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发表时间：
2024
期刊：
影响因子：
1.2
通讯作者：
Xiaofei Cao;Sanzhang Xu;Xiaocai Wang;Kun Liu
中科院分区：
文献类型：
--
作者：
Xiaofei Cao;Sanzhang Xu;Xiaocai Wang;Kun Liu
：设 A 为复矩阵。回答了广义列约束逆与广义行约束逆重合的问题，从而引入了A的广义约束逆，并且该逆与弱群逆重合。此外，还给出了广义约束逆与沿两个矩阵的逆之间的“距离”，即 A 的广义约束逆与 A 的 ( A k , ( A k ) * A ) -逆重合，其中 k 是 A 的索引。
: Let A be a complex matrix. The question when a generalized column constrained inverse coincides with a generalized row constrained inverse was answered, which lead to the generalized constrained inverse of A was introduced and this inverse coincides with the weak group inverse. Moreover, the “distance” between the generalized constrained inverse and the inverse along two matrices was given, that is, the generalized constrained inverse of A coincides with the ( A k , ( A k ) ∗ A ) -inverse of A , where k is the index of A .