Relaxed successive projection algorithm with strong convergence for the multiple-sets split equality problem
作者： Xueling Zhou , , Meixia Li , Haitao Che ,
DOI: 10.3934/JIMO.2020082
关键词: Range (mathematics) 、 Signal processing 、 Convergence (routing) 、 Operator (computer programming) 、 Dykstra's projection algorithm 、 Algorithm 、 Computed tomography 、 Operator norm 、 Iterative reconstruction 、 Computer science
摘要: The multiple-sets split equality problem is an extended form of the feasibility problem. It has a wide range applications in image reconstruction, signal processing, computed tomography, etc. In this paper, we propose relaxed successive projection algorithm to solve which does not need prior knowledge operator norms, and prove strong convergence algorithm. numerical examples indicate that good effectiveness by comparing with other
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