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Preconditioning splitting methods for the split feasibility problem
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DOI：10.1007/s40314-026-03679-4.png)
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Abstract
En 中文
In this paper, we employ two preconditioned general splitting methods to study the split feasibility problem. One is the preconditioned linear relaxed splitting method and the other is a preconditioned method that combines the alternating inertial step with the former. The methods employ a novel step-size strategy, which does not require any prior knowledge about the operator norm. Moreover, we also provide a convergence analysis of our algorithm under appropriate parameters. Finally, in a numerical experiment, we apply algorithms to solve a signal recovery problem. Compared with existing non-preconditioned algorithms, the numerical experiments demonstrate the effectiveness of our proposed methods.
Keywords:
Split feasibility problem
Preconditioned general splitting method
Alternating inertial step
Signal recovery
Journal
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Papers:
266
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