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https://idr.l4.nitk.ac.in/jspui/handle/123456789/9549
Title: | A Broyden-type Banach to Hilbert space scheme for solving equations |
Authors: | Argyros, I.K. George, S. |
Issue Date: | 2019 |
Citation: | Panamerican Mathematical Journal, 2019, Vol.29, 2, pp.93-103 |
Abstract: | We present a new semi-local convergence analysis for an inverse free Broyden-type Banach to Hilbert space scheme (BTS) in order to approximate a locally unique solution of an equation. The analysis is based on a center-Lipschitz-type condition and our idea of the restricted convergence region. The operators involved have regularly continuous divided differences. This way we provide, weaker sufficient semi-local convergence conditions, tighter error bounds, and a more precise information on the location of the solution. Hence, our approach extends the applicability of BTS under the same hypotheses as before. 2019, International Publications. All rights reserved. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/9549 |
Appears in Collections: | 1. Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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30.A Broyden-type.pdf | 108.27 kB | Adobe PDF | View/Open |
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