The Convergence of Block Cyclic Projection with Over-Relaxation Parameters for Compressed Sensing Based Tomography

Authors

Fangjun Arroyo, Francis Marion UniversityFollow
Edward Arroyo, American Public University SystemFollow
Xiezhang Li, Georgia Southern UniversityFollow
Jiehua Zhu, Georgia Southern University

Document Type

Article

Publication Date

5-2015

Publication Title

Journal of Computational and Applied Mathematics

DOI

10.1016/j.cam.2014.11.036

ISSN

0377-0427

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.

Recommended Citation

Arroyo, Fangjun, Edward Arroyo, Xiezhang Li, Jiehua Zhu. 2015. "The Convergence of Block Cyclic Projection with Over-Relaxation Parameters for Compressed Sensing Based Tomography." Journal of Computational and Applied Mathematics, 280: 59-67. doi: 10.1016/j.cam.2014.11.036
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/325