Simplified Levenberg-Marquardt method in Banach spaces for nonlinear ill-posed operator equations

In 2011, Jin Qinian has proposed a Levenberg-Marquardt method, by making use of duality mapping and the Bregman distance, to get an approximate solution of a nonlinear ill-posed operator equation in Banach space using an a posteriori parameter choice strategy and Morozov-type stopping rule. The meth...

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Bibliographic Details

Published in:	Applicable analysis Vol. 102; no. 1; pp. 124 - 148
Main Authors:	Mahale, Pallavi, Shaikh, Farheen M.
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 02.01.2023 Taylor & Francis Ltd
Subjects:	Banach spaces Bregman distance duality mapping Hilbert space Ill posed problems Levenberg-Marquardt method in Banach spaces Morozov-type stopping rule Nonlinear ill-posed operator equations Operators (mathematics) Parameter modification
ISSN:	0003-6811, 1563-504X
Online Access:	Get full text
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