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Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators

The Newton-Kantorovich iterative regularization for nonlinear ill-posed equations involving monotone operators in Hilbert spaces is developed for the case of accretive operators in Banach spaces. An estimate for the convergence rates of the method is established.

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Bibliographic Details
Main Authors:	Nguen Byong, Vu Quang Hung
Format:	Article
Language:	English
Published:	Інститут математики НАН України 2005
Series:	Український математичний журнал
Subjects:	Короткі повідомлення
Online Access:	http://dspace.nbuv.gov.ua/handle/123456789/165622
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id	irk-123456789-165622
record_format	dspace
spelling	irk-123456789-1656222020-02-15T01:27:40Z Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators Nguen Byong Vu Quang Hung Короткі повідомлення The Newton-Kantorovich iterative regularization for nonlinear ill-posed equations involving monotone operators in Hilbert spaces is developed for the case of accretive operators in Banach spaces. An estimate for the convergence rates of the method is established. Розроблено ітераційну регулярнзацію Ньютона - Канторовича для нелінійних некоректних рівнянь з монотонним оператором у гільбертових просторах для випадку акретивного оператора в банахових просторах. Встановлено оцінки швидкостей збіжності методу. 2005 Article Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators / Nguen Byong, Vu Quang Hung // Український математичний журнал. — 2005. — Т. 57, № 2. — С. 271–276. — Бібліогр.: 9 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/165622 517.9 en Український математичний журнал Інститут математики НАН України
institution	Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection	DSpace DC
language	English
topic	Короткі повідомлення Короткі повідомлення
spellingShingle	Короткі повідомлення Короткі повідомлення Nguen Byong Vu Quang Hung Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators Український математичний журнал
description	The Newton-Kantorovich iterative regularization for nonlinear ill-posed equations involving monotone operators in Hilbert spaces is developed for the case of accretive operators in Banach spaces. An estimate for the convergence rates of the method is established.
format	Article
author	Nguen Byong Vu Quang Hung
author_facet	Nguen Byong Vu Quang Hung
author_sort	Nguen Byong
title	Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators
title_short	Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators
title_full	Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators
title_fullStr	Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators
title_full_unstemmed	Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators
title_sort	newton-kantorovich iterative regularization for nonlinear ill-posed equations involving accretive operators
publisher	Інститут математики НАН України
publishDate	2005
topic_facet	Короткі повідомлення
url	http://dspace.nbuv.gov.ua/handle/123456789/165622
citation_txt	Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators / Nguen Byong, Vu Quang Hung // Український математичний журнал. — 2005. — Т. 57, № 2. — С. 271–276. — Бібліогр.: 9 назв. — англ.
series	Український математичний журнал
work_keys_str_mv	AT nguenbyong newtonkantorovichiterativeregularizationfornonlinearillposedequationsinvolvingaccretiveoperators AT vuquanghung newtonkantorovichiterativeregularizationfornonlinearillposedequationsinvolvingaccretiveoperators
first_indexed	2023-10-18T22:16:32Z
last_indexed	2023-10-18T22:16:32Z
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Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators

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