Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms | Zendy

Tommy Elfving | Zendy; Per Christian Hansen | Zendy; Touraj Nikazad | Zendy

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Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms

Author(s) -

Tommy Elfving,

Per Christian Hansen,

Touraj Nikazad

Publication year - 2012

Publication title -

siam journal on scientific computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.674

H-Index - 147

eISSN - 1095-7197

pISSN - 1064-8275

DOI - 10.1137/110834640

Subject(s) - algorithm , relaxation (psychology) , tomographic reconstruction , mathematics , iterative reconstruction , computer science , artificial intelligence , psychology , social psychology

We give a detailed study of the semiconvergence 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.

Funding Agencies|Danish Research Council for Technology and Production Sciences|274-07-0065|

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