Frozen Landweber iteration for nonlinear ill-posed problems

J. Xu; B. Han; L. Li

doi:10.1007/s10255-007-0375-2

Frozen Landweber iteration for nonlinear ill-posed problems

J. Xu^*
, B. Han
, L. Li

^*Corresponding author for this work

School of Mathematics

CAS - Academy of Mathematics and System Sciences
Harbin Institute of Technology

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

8 Scopus citations

Abstract

In this paper we propose a modification of the Landweber iteration termed frozen Landweber iteration for nonlinear ill-posed problems. A convergence analysis for this iteration is presented. The numerical performance of this frozen Landweber iteration for a nonlinear Hammerstein integral equation is compared with that of the Landweber iteration. We obtain a shorter running time of the frozen Landweber iteration based on the same convergence accuracy.

Original language	English
Pages (from-to)	329-336
Number of pages	8
Journal	Acta Mathematicae Applicatae Sinica
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/s10255-007-0375-2
State	Published - Apr 2007

Keywords

Ill-posed problem
Landweber iteration
Regularization

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10.1007/s10255-007-0375-2

Cite this

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abstract = "In this paper we propose a modification of the Landweber iteration termed frozen Landweber iteration for nonlinear ill-posed problems. A convergence analysis for this iteration is presented. The numerical performance of this frozen Landweber iteration for a nonlinear Hammerstein integral equation is compared with that of the Landweber iteration. We obtain a shorter running time of the frozen Landweber iteration based on the same convergence accuracy.",

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AU - Xu, J.

AU - Han, B.

AU - Li, L.

PY - 2007/4

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N2 - In this paper we propose a modification of the Landweber iteration termed frozen Landweber iteration for nonlinear ill-posed problems. A convergence analysis for this iteration is presented. The numerical performance of this frozen Landweber iteration for a nonlinear Hammerstein integral equation is compared with that of the Landweber iteration. We obtain a shorter running time of the frozen Landweber iteration based on the same convergence accuracy.

AB - In this paper we propose a modification of the Landweber iteration termed frozen Landweber iteration for nonlinear ill-posed problems. A convergence analysis for this iteration is presented. The numerical performance of this frozen Landweber iteration for a nonlinear Hammerstein integral equation is compared with that of the Landweber iteration. We obtain a shorter running time of the frozen Landweber iteration based on the same convergence accuracy.

KW - Ill-posed problem

KW - Landweber iteration

KW - Regularization

UR - https://www.scopus.com/pages/publications/34147124176

U2 - 10.1007/s10255-007-0375-2

DO - 10.1007/s10255-007-0375-2

M3 - 文章

AN - SCOPUS:34147124176

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JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 2

ER -

Frozen Landweber iteration for nonlinear ill-posed problems

Abstract

Keywords

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