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On a regularized Levenberg-Marquardt method for solving nonlinear inverse problems

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Jin, Qinian

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We consider a regularized Levenberg-Marquardt method for solving nonlinear ill-posed inverse problems. We use the discrepancy principle to terminate the iteration. Under certain conditions, we prove the convergence of the method and obtain the order optimal convergence rates when the exact solution satisfies suitable source-wise representations.

dc.contributor.authorJin, Qinian
dc.date.accessioned2015-12-07T22:55:22Z
dc.identifier.issn0029-599X
dc.identifier.urihttp://hdl.handle.net/1885/28358
dc.description.abstractWe consider a regularized Levenberg-Marquardt method for solving nonlinear ill-posed inverse problems. We use the discrepancy principle to terminate the iteration. Under certain conditions, we prove the convergence of the method and obtain the order optimal convergence rates when the exact solution satisfies suitable source-wise representations.
dc.publisherSpringer
dc.sourceNumerische Mathematik
dc.titleOn a regularized Levenberg-Marquardt method for solving nonlinear inverse problems
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume115
dc.date.issued2010
local.identifier.absfor010301 - Numerical Analysis
local.identifier.ariespublicationu5035478xPUB57
local.type.statusPublished Version
local.contributor.affiliationJin, Qinian, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage229
local.bibliographicCitation.lastpage259
local.identifier.doi10.1007/s00211-009-0275-x
dc.date.updated2015-12-07T12:55:06Z
local.identifier.scopusID2-s2.0-77952099629
local.identifier.thomsonID000275990000003
CollectionsANU Research Publications

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