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https://idr.l4.nitk.ac.in/jspui/handle/123456789/12373
Title: | On the convergence of Broyden's method with regularity continuous divided differences and restricted convergence domains |
Authors: | Argyros, I.K. George, S. |
Issue Date: | 2017 |
Citation: | Journal of Nonlinear Functional Analysis, 2017, Vol.2017, , pp.- |
Abstract: | We present a semilocal convergence analysis for Broyden's method with regularly continuous divided differences in a Banach/Hilbert space setting. By using: center-Lipschitz-type conditions defining restricted convergence domains, at least as weak hypotheses and the same computational cost as in [6] we provide a new convergence analysis for Broyden's method with the following advantages: larger convergence domain; finer error bounds on the distances involved, and at least as precise information on the location of the solution. 2017 Journal of Nonlinear Functional Analysis. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/12373 |
Appears in Collections: | 1. Journal Articles |
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