A Broyden-type Banach to Hilbert space scheme for solving equations

dc.contributor.author	Argyros, I.K.
dc.contributor.author	George, S.
dc.date.accessioned	2020-03-31T06:51:09Z
dc.date.available	2020-03-31T06:51:09Z
dc.date.issued	2019
dc.description.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.	en_US
dc.identifier.citation	Panamerican Mathematical Journal, 2019, Vol.29, 2, pp.93-103	en_US
dc.identifier.uri	https://idr.nitk.ac.in/handle/123456789/9549
dc.title	A Broyden-type Banach to Hilbert space scheme for solving equations	en_US
dc.type	Article	en_US

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