Generalized LM-inverse of a matrix augmented by a column vector

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摘要

This paper presents a direct proof of the recursive formulae for the generalized LM- inverse of a matrix augmented by a column vector. The recursive relations are proved by direct verification of the four conditions of the generalized LM-inverse. Several auxiliary results pertaining to generalized inverses are also provided.

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

论文评审过程：Available online 1 June 2007.

论文官网地址：https://doi.org/10.1016/j.amc.2006.09.091