DISPLACEMENT STRUCTURE OF GENERALIZED INVERSE MATRICES

Authors
HEINIG G HELLINGER F
Citation
G. Heinig et F. Hellinger, DISPLACEMENT STRUCTURE OF GENERALIZED INVERSE MATRICES, Linear algebra and its applications, 211, 1994, pp. 67-83
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
211
Year of publication
1994
Pages
67 - 83
Database
ISI
SICI code
0024-3795(1994)211:<67:DSOGIM>2.0.ZU;2-D
Abstract
It is shown that matrices with a UV-displacement structure possess gen eralized inverses with a VU-displacement structure. Estimations for th e displacement rank of the generalized inverses are presented. The res ults apply to matrices of Toeplitz, Vandermonde, and Cauchy type and p rovide formulas for generalized inverses which are important for fast algorithms.