The weighted generalized inverses of a partitioned matrix
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摘要
A constructive proof for the recursive representation of the weighted Moore–Penrose inverse of a partitioned matrix A=(UV) is given. Using the same thread of reasoning, similar results for A(1,3M) and A(1,4N) are derived. And all of these results can be represented by an unified form.
论文关键词:Weighted generalized inverses,Moore–Penrose inverse,Partitioned matrices,Unified form
论文评审过程:Available online 18 September 2003.
论文官网地址:https://doi.org/10.1016/S0096-3003(03)00772-0