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

Qinian Jin

doi:10.1007/s00211-009-0275-x

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

Qinian Jin^*

^*Corresponding author for this work

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

64 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	229-259
Number of pages	31
Journal	Numerische Mathematik
Volume	115
Issue number	2
DOIs	https://doi.org/10.1007/s00211-009-0275-x
Publication status	Published - 2010
Externally published	Yes

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abstract = "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.",

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AB - 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.

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DO - 10.1007/s00211-009-0275-x

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JO - Numerische Mathematik

JF - Numerische Mathematik

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ER -

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

Abstract

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