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On the asymtotic behavior of some alternate smoothing series expansion iterative methods

Linear Algebra and its ApplicationsPublished 1 March 1990
Alvaro R. De Pierro, Alfredo N. Iusem
Citations26
SJR quartileQ1
SJR score0.98
SNIP1.40

Abstract

We study the asymptotic behavior of some iterative methods used in image reconstruction from projections. These methods combine in each step a major iteration of a standard series expansion algorithm like ART followed by the application of a smoothing matrix. We prove convergence for a whole family of these methods when the matrix is symmetric, and we give counterexamples for other cases.

Keywords

MathematicsMedicine