Surrogate functional based subspace correction methods for image processing

M. Hintermüller; A. Langer

doi:10.1007/978-3-319-05789-7__80

Surrogate functional based subspace correction methods for image processing

M. Hintermüller, A. Langer

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding › peer-review

1 Citation (Scopus)

Abstract

In this paper we present subspace correction methods for non-smooth and non-additive energies which are guaranteed to converge. Moreover, we are able to provide an estimate of the distance between the outcome of the subspace correction method and the global minimizer of the non-smooth and non-additive objective. With the help of this estimate we can finally show in our numerical experiments that the proposed method even converges to a true global minimizer.

Original language	English
Title of host publication	Domain Decomposition Methods in Science and Engineering XXI
Editors	Jocelyne Erhel, Martin J. Gander, Laurence Halpern, Géraldine Pichot, Taoufik Sassi, Olof Widlund
Publisher	Springer, Cham
Pages	829-837
Number of pages	9
ISBN (Electronic)	978-3-319-05789-7
ISBN (Print)	978-3-319-05788-0
DOIs	https://doi.org/10.1007/978-3-319-05789-7__80
Publication status	Published - 21 Apr 2014
Externally published	Yes
Event	21st international conference on domain decomposition methods in science and engineering - Rennes, France Duration: 25 Jun 2012 → 29 Jun 2012

Conference

Conference	21st international conference on domain decomposition methods in science and engineering
Country/Territory	France
City	Rennes
Period	25/06/12 → 29/06/12

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10.1007/978-3-319-05789-7__80

Cite this

Surrogate functional based subspace correction methods for image processing. / Hintermüller, M.; Langer, A.
Domain Decomposition Methods in Science and Engineering XXI. ed. / Jocelyne Erhel; Martin J. Gander; Laurence Halpern; Géraldine Pichot; Taoufik Sassi; Olof Widlund. Springer, Cham , 2014. p. 829-837.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding › peer-review

Hintermüller, M & Langer, A 2014, Surrogate functional based subspace correction methods for image processing. in J Erhel, MJ Gander, L Halpern, G Pichot, T Sassi & O Widlund (eds), Domain Decomposition Methods in Science and Engineering XXI. Springer, Cham , pp. 829-837, 21st international conference on domain decomposition methods in science and engineering, Rennes, France, 25/06/12. https://doi.org/10.1007/978-3-319-05789-7__80

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abstract = "In this paper we present subspace correction methods for non-smooth and non-additive energies which are guaranteed to converge. Moreover, we are able to provide an estimate of the distance between the outcome of the subspace correction method and the global minimizer of the non-smooth and non-additive objective. With the help of this estimate we can finally show in our numerical experiments that the proposed method even converges to a true global minimizer.",

author = "M. Hinterm{\"u}ller and A. Langer",

year = "2014",

month = apr,

day = "21",

doi = "10.1007/978-3-319-05789-7__80",

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AU - Langer, A.

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N2 - In this paper we present subspace correction methods for non-smooth and non-additive energies which are guaranteed to converge. Moreover, we are able to provide an estimate of the distance between the outcome of the subspace correction method and the global minimizer of the non-smooth and non-additive objective. With the help of this estimate we can finally show in our numerical experiments that the proposed method even converges to a true global minimizer.

AB - In this paper we present subspace correction methods for non-smooth and non-additive energies which are guaranteed to converge. Moreover, we are able to provide an estimate of the distance between the outcome of the subspace correction method and the global minimizer of the non-smooth and non-additive objective. With the help of this estimate we can finally show in our numerical experiments that the proposed method even converges to a true global minimizer.

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BT - Domain Decomposition Methods in Science and Engineering XXI

A2 - Erhel, Jocelyne

A2 - Gander, Martin J.

A2 - Halpern, Laurence

A2 - Pichot, Géraldine

A2 - Sassi, Taoufik

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PB - Springer, Cham

T2 - 21st international conference on domain decomposition methods in science and engineering

Y2 - 25 June 2012 through 29 June 2012

ER -

Surrogate functional based subspace correction methods for image processing

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