Please use this identifier to cite or link to this item: https://idr.l1.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

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