AN ALTERNATIVE PROOF OF THE GREVILLE FORMULA

Authors
UDWADIA FE KALABA RE
Citation
Fe. Udwadia et Re. Kalaba, AN ALTERNATIVE PROOF OF THE GREVILLE FORMULA, Journal of optimization theory and applications, 94(1), 1997, pp. 23-28
Citations number
9
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
94
Issue
1
Year of publication
1997
Pages
23 - 28
Database
ISI
SICI code
0022-3239(1997)94:1<23:AAPOTG>2.0.ZU;2-J
Abstract
A simple proof of the Greville formula for the recursive computation o f the Moore-Penrose (MP) inverse of a matrix is presented. The proof u tilizes no more than the elementary properties of the MP inverse.