A simple proof of the Greville formula for the recursive computation of the Moore-Penrose (MP) inverse of a matrix is presented. The proof utilizes no more than the elementary properties of the MP inverse.
@article{hal-01403610,
author = {Udwadia, Firdaus and Kalaba, Robert},
title = {An Alternative Proof of the Greville Formula},
journal = {HAL},
volume = {1997},
number = {0},
year = {1997},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01403610}
}
Udwadia, Firdaus; Kalaba, Robert. An Alternative Proof of the Greville Formula. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-01403610/