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

Access to Document

10.1080/00036811.2011.629607

Cite this

@article{8c869d46bc9b4689b75f23c88283c230,

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.",

keywords = "convergence, evolution equation based on Gauss-Newton method, nonlinear inverse problems, rates of convergence, the discrepancy principle",

author = "Qinian Jin",

year = "2013",

month = mar,

doi = "10.1080/00036811.2011.629607",

language = "English",

volume = "92",

pages = "527--548",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "Taylor and Francis Ltd.",

number = "3",

}

TY - JOUR

T1 - Solving nonlinear inverse problems by evolution equations based on Gauss-Newton methods

AU - Jin, Qinian

PY - 2013/3

Y1 - 2013/3

N2 - 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.

AB - 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.

KW - convergence

KW - evolution equation based on Gauss-Newton method

KW - nonlinear inverse problems

KW - rates of convergence

KW - the discrepancy principle

UR - https://www.scopus.com/pages/publications/84873893137

U2 - 10.1080/00036811.2011.629607

DO - 10.1080/00036811.2011.629607

M3 - Article

SN - 0003-6811

VL - 92

SP - 527

EP - 548

JO - Applicable Analysis

JF - Applicable Analysis

IS - 3

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this