The Moore-Penrose generalized inverse for sums of matrices

Authors
Fill, JA Fishkind, DE
Citation
Ja. Fill et De. Fishkind, The Moore-Penrose generalized inverse for sums of matrices, SIAM J MATR, 21(2), 2000, pp. 629-635
Citations number
13
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
ISSN journal
08954798 → ACNP
Volume
21
Issue
2
Year of publication
2000
Pages
629 - 635
Database
ISI
SICI code
0895-4798(20000203)21:2<629:TMGIFS>2.0.ZU;2-M
Abstract
In this paper we exhibit, under suitable conditions, a neat relationship be tween the Moore-Penrose generalized inverse of a sum of two matrices and th e Moore-Penrose generalized inverses of the individual terms. We include an application to the parallel sum of matrices.