IJPAM: Volume 34, No. 4 (2007)
PSB UPDATE IN HILBERT SPACE
Department of Mathematical Sciences
Cameron University
Lawton, OK 73505, USA
e-mail: iargyros@cameron.edu
Abstract.In this paper we use a weaker version of the Newton-Kantorovich Theorem
[#!1!#] to provide under weaker hypotheses and the same computational cost as
in [#!6!#] a finer semilocal convergence analysis for the structured PSB
Update in Hilbert space. Moreover the upper bounds on the distances involved
are finer and the location of the solution as least as precise as in [#!6!#].
Our results extend the applicability of the update algorithm.
Received: November 10, 2006
AMS Subject Classification: 90C31, 90C25, 90C05, 47H17, 49M15
Key Words and Phrases: PSB Update, Newton-Kantorovich Theorem/Hypothesis, structured update, Hilbert space
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 4