Why linear sampling really seems to work
type: Item
instance of: scholarly article
title: Why linear sampling really seems to work
zbMATH Open document ID: 1180.35560
author: Martin Hanke
published in: Inverse Problems and Imaging
publication date: 2008-11-06T00:00:00Z
review text: The author provides a qualitative and quantitative analysis of the linear sampling method, and give an interpretation of the obtained results for cases where the fatorization methods is also known to work. To this end the author formally restrict his treatment to the specific case of acoustic scattering by sound-soft obstacles. The analysis of the author, however, extends to other cases of interest, as it only exploits general techniques from the theory of linear ill-posed problems. Moreover, the main tool of the author is a careful investigation of the Tikhonov regularization method and the discrepancy principle for linear operator equations with inconsistent right-hand sides and, possibly, perturbed operators.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 65N21
zbMATH DE Number: 5362903
zbMATH Keywords: inverse scattering
zbMATH Keywords: sampling method
zbMATH Keywords: factorization method
MaRDI profile type: Publication
full work available at URL: ipi.2008.2.373
OpenAlex ID: W2320715650
DOI: 10.3934/IPI.2008.2.373
description: scientific article; zbMATH DE number 5362903