Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms

Publication: Research - peer-reviewJournal article – Annual report year: 2012

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Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms. / Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj.

In: S I A M Journal on Scientific Computing, Vol. 34, No. 4, 2012, p. A2000-A2017.

Publication: Research - peer-reviewJournal article – Annual report year: 2012

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Author

Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj / Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms.

In: S I A M Journal on Scientific Computing, Vol. 34, No. 4, 2012, p. A2000-A2017.

Publication: Research - peer-reviewJournal article – Annual report year: 2012

Bibtex

@article{84fe86e670ce43cea15622f3bb2b9380,
title = "Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms",
keywords = "Algorithms, Parameter estimation, Tomography, Iterative methods, Projected Landweber iteration, Simultaneous iterative reconstruction technique, Relaxation parameters, Semiconvergence, Nonnegativity constraints, Tomographic imaging",
publisher = "Society for Industrial and Applied Mathematics",
author = "Tommy Elfving and Hansen, {Per Christian} and Touraj Nikazad",
note = "© 2012 Society for Industrial and Applied Mathematics",
year = "2012",
doi = "10.1137/110834640",
volume = "34",
number = "4",
pages = "A2000--A2017",
journal = "S I A M Journal on Scientific Computing",
issn = "1064-8275",

}

RIS

TY - JOUR

T1 - Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms

A1 - Elfving,Tommy

A1 - Hansen,Per Christian

A1 - Nikazad,Touraj

AU - Elfving,Tommy

AU - Hansen,Per Christian

AU - Nikazad,Touraj

PB - Society for Industrial and Applied Mathematics

PY - 2012

Y1 - 2012

N2 - We give a detailed study of the semiconverg ence behavior of projected nonstationary simultaneous iterative reconstruction technique (SIRT) algorithms, including the projected Landweber algorithm. We also consider the use of a relaxation parameter strategy, proposed recently for the standard algorithms, for controlling the semiconvergence of the projected algorithms. We demonstrate the semiconvergence and the performance of our strategies by examples taken from tomographic imaging. © 2012 Society for Industrial and Applied Mathematics.

AB - We give a detailed study of the semiconverg ence behavior of projected nonstationary simultaneous iterative reconstruction technique (SIRT) algorithms, including the projected Landweber algorithm. We also consider the use of a relaxation parameter strategy, proposed recently for the standard algorithms, for controlling the semiconvergence of the projected algorithms. We demonstrate the semiconvergence and the performance of our strategies by examples taken from tomographic imaging. © 2012 Society for Industrial and Applied Mathematics.

KW - Algorithms

KW - Parameter estimation

KW - Tomography

KW - Iterative methods

KW - Projected Landweber iteration

KW - Simultaneous iterative reconstruction technique

KW - Relaxation parameters

KW - Semiconvergence

KW - Nonnegativity constraints

KW - Tomographic imaging

U2 - 10.1137/110834640

DO - 10.1137/110834640

JO - S I A M Journal on Scientific Computing

JF - S I A M Journal on Scientific Computing

SN - 1064-8275

IS - 4

VL - 34

SP - A2000-A2017

ER -