The weighted Moore–Penrose inverse of modified matrices
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摘要
The weighted Moore–Penrose inverse of modified matrix A−CB is derived under some range conditions,where CB is a full rank factorization. The generalized singular value decomposition of a matrix is used to derive systematically the weighted Moore–Penrose inverse for a modified matrix, where CB need not be a full rank factorization. The results extend the earlier works by various authors.
论文关键词:Weighted Moore–Penrose inverse,Moore–Penrose inverse,Weighted singular value decomposition,Modified matrix
论文评审过程:Available online 31 May 2001.
论文官网地址:https://doi.org/10.1016/S0096-3003(00)00007-2