An alternative proof for the recursive formulae for computing the Moore–Penrose M-inverse of a matrix

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摘要

In this paper we provide an alternative proof for the recursive formulae for the determination of the generalized Moore–Penrose M-inverse of a matrix through the direct verification of the four properties of Moore–Penrose M-inverse.

论文关键词：Generalized inverse,Moore–Penrose M-inverse,Recursive formulae,Least squares problem

论文评审过程：Available online 5 July 2005.

论文官网地址：https://doi.org/10.1016/j.amc.2005.04.091