THE WEIGHTED ASTERISK-CORE-NILPOTENT DECOMPOSITION

Authors
HARTWIG RE
Citation
Re. Hartwig, THE WEIGHTED ASTERISK-CORE-NILPOTENT DECOMPOSITION, Linear algebra and its applications, 211, 1994, pp. 101-111
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
211
Year of publication
1994
Pages
101 - 111
Database
ISI
SICI code
0024-3795(1994)211:<101:TWAD>2.0.ZU;2-P
Abstract
The interaction between an involution (.) and the core-nilpotent deco mposition of a square matrix is investigated and used to derive a weig hted -core-nilpotent decomposition. This generalizes a decomposition by Gabriel and may be used to induce a new type of pseudoinverse, whic h includes the Gabriel inverse as a special case.