IJPAM: Volume 34, No. 4 (2007)

ON THE CONVERGENCE OF THE STRUCTURED
PSB UPDATE IN HILBERT SPACE

Ioannis K. Argyros
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