THE HYPERPOWER ITERATION REVISITED

Citation
Xz. Chen et Re. Hartwig, THE HYPERPOWER ITERATION REVISITED, Linear algebra and its applications, 233, 1996, pp. 207-229
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00243795
Volume
233
Year of publication
1996
Pages
207 - 229
Database
ISI
SICI code
0024-3795(1996)233:<207:THIR>2.0.ZU;2-#
Abstract
The hyperpower method is generalized by inseting an idempotent matrix P. It is shown that most of the iterations that can be used for comput ing generalized inverses can be recast in this form by suitable choice of the idempotent, the limit, or the initial values. The convergence behavior of B-qk is analyzed and the results are applied to give a det ailed investigation of this iteration.