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Article
The Convergence of Block Cyclic Projection with Over-Relaxation Parameters for Compressed Sensing Based Tomography
Journal of Computational and Applied Mathematics
  • Fangjun Arroyo, Francis Marion University
  • Edward Arroyo, American Public University System
  • Xiezhang Li, Georgia Southern University
  • Jiehua Zhu, Georgia Southern University
Document Type
Article
Publication Date
5-1-2015
DOI
10.1016/j.cam.2014.11.036
Disciplines
Abstract
The convergence of the block cyclic projection for compressed sensing based tomography (BCPCS) algorithm had been proven recently in the case of underrelaxation parameter λ∈(0,1]. In this paper, we prove its convergence with overrelaxation parameter λ∈(1,2). As a result, the convergence of the other two algorithms (BCAVCS and BDROPCS) with overrelaxation parameter λ∈(1,2) in a special case is derived. Experiments are given to demonstrate the convergence behavior of the BCPCS algorithm with different values of λ.
Citation Information
Fangjun Arroyo, Edward Arroyo, Xiezhang Li and Jiehua Zhu. "The Convergence of Block Cyclic Projection with Over-Relaxation Parameters for Compressed Sensing Based Tomography" Journal of Computational and Applied Mathematics Vol. 280 (2015) p. 59 - 67
Available at: http://works.bepress.com/jiehua_zhu/37/