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

Qinian Jin

doi:10.1080/00036811.2011.629607

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

Qinian Jin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In 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.

Original language	English
Pages (from-to)	527-548
Number of pages	22
Journal	Applicable Analysis
Volume	92
Issue number	3
DOIs	https://doi.org/10.1080/00036811.2011.629607
Publication status	Published - Mar 2013

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title = "Solving nonlinear inverse problems by evolution equations based on Gauss-Newton methods",

abstract = "In 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.",

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

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