The levenberg-marquardt method for approximation of solutions of irregular operator equations / Vasin V. V. // AUTOMATION AND REMOTE CONTROL. - 2012. - V. 73, l. 3. - P. 440-449.

ISSN/EISSN:

0005-1179 / нет данных

Type:

Article

Abstract:

An ill-posed problem is considered in the form of a nonlinear operator equation with a discontinuous inverse operator. It is known that in investigating a high convergence of the methods of the type of Levenberg-Marquardt (LM) method, one is forced to impose very severe constraints on the problem operator. In the suggested article the LM method convergence is set up not for the initial problem, but for the Tikhonov-regularized equation. This makes it possible to construct a stable Fejer algorithm for approximation of the solution of the initial irregular problem at the conventional, comparatively nonburdensome conditions on the operator. The developed method is tested on the solution of an inverse problem of geophysics.

Author keywords:

нет данных

DOI:

10.1134/S0005117912030034

Web of Science ID:

ISI:000301791500003

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	MAR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Automation \& Control Systems; Instruments \& Instrumentation
Web-of-Science-Categories	Automation \& Control Systems; Instruments \& Instrumentation
Funding-Acknowledgement	Russian Foundation for Basic Research {[}09-01-00053]; Presidium of the Ural Branch of the Russian Academy of Sciences {[}12-P-2019]
Funding-Text	This work was supported by the Russian Foundation for Basic Research, project no. 09-01-00053 and the Presidium of the Ural Branch of the Russian Academy of Sciences, project no. 12-P-2019.
Number-of-Cited-References	11
Usage-Count-Since-2013	4
Journal-ISO	Autom. Remote Control
Doc-Delivery-Number	912IU