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Solving nonlinear inverse problems by evolution equations based on Gauss-Newton methods

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dc.contributor.authorJin, Qinian
dc.date.accessioned2015-12-13T22:16:27Z
dc.date.issued2013
dc.date.updated2016-02-24T08:58:34Z
dc.description.abstractIn this article, we solve nonlinear inverse problems by an evolution equation method which can be viewed as the continuous analogue of the Gauss-Newton method. Under certain conditions we prove the convergence and derive the rate of convergence when the discrepancy principle is coupled.
dc.identifier.issn1563-504X
dc.identifier.urihttp://hdl.handle.net/1885/70871
dc.publisherTaylor & Francis Group
dc.sourceApplicable Analysis
dc.subjectKeywords: convergence; evolution equation based on Gauss-Newton method; nonlinear inverse problems; rates of convergence; the discrepancy principle
dc.titleSolving nonlinear inverse problems by evolution equations based on Gauss-Newton methods
dc.typeJournal article
local.bibliographicCitation.issue3
local.bibliographicCitation.lastpage548
local.bibliographicCitation.startpage527
local.contributor.affiliationJin, Qinian, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidJin, Qinian, u5085802
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010301 - Numerical Analysis
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationf5625xPUB2450
local.identifier.citationvolume92
local.identifier.doi10.1080/00036811.2011.629607
local.identifier.scopusID2-s2.0-84873893137
local.identifier.thomsonID000314638000005
local.type.statusPublished Version

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