Controlling noise error in block iterative methods

In this paper, we analyze the semiconvergence behavior of a non-stationary sequential block iterative method. Based on a slightly modified problem, in the form of a regularized problem, we obtain three techniques for picking relaxation parameters to control the propagated noise component of the erro...

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Bibliographic Details
Published in:Numerical algorithms 2016-12, Vol.73 (4), p.907-925
Main Authors: Nikazad, T., Karimpour, M.
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Computer Science
Convergence
Error analysis
Errors
Iterative methods
Noise
Noise control
Noise propagation
Numeric Computing
Numerical Analysis
Original Paper
Parameter modification
Picking
Strategy
Theory of Computation
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Summary:In this paper, we analyze the semiconvergence behavior of a non-stationary sequential block iterative method. Based on a slightly modified problem, in the form of a regularized problem, we obtain three techniques for picking relaxation parameters to control the propagated noise component of the error. Also, we give the convergence analysis of the iterative method using these strategies. The performance of our strategies is shown by examples taken from tomographic imaging.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-016-0122-y