An Alternative Proof of the Greville Formula

Firdaus Udwadia (1) , Robert Kalaba (1)

1 USC - University of Southern California

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.

Mots clés: Moore-Penrose inverse; Greville formula

Domaines: Mathématiques [math]

Firdaus Udwadia, Robert Kalaba. An Alternative Proof of the Greville Formula. Journal of Optimization Theory and Applications, 1997, 94, pp.23 - 28. ⟨10.1023/A:1022699317381⟩. ⟨hal-01403610⟩