Convergence analysis of a parallel projection algorithm for solving convex feasibility problems
dc.contributor.author | Dang, Y. | |
dc.contributor.author | Meng, F. | |
dc.contributor.author | Sun, Jie | |
dc.date.accessioned | 2017-04-28T13:59:15Z | |
dc.date.available | 2017-04-28T13:59:15Z | |
dc.date.created | 2017-04-28T09:06:07Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Dang, Y. and Meng, F. and Sun, J. 2016. Convergence analysis of a parallel projection algorithm for solving convex feasibility problems. Numerical Algebra, Control and Optimization. 6 (4): pp. 505-519. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/52586 | |
dc.identifier.doi | 10.3934/naco.2016023 | |
dc.description.abstract |
The convex feasibility problem (CFP) is a classical problem in nonlinear analysis. In this paper, we propose an inertial parallel projection algorithm for solving CFP. Different from the previous algorithms, the proposed method introduces a sequence of parameters and uses the information of last two iterations at each step. To prove its convergence in a simple way, we transform the parallel algorithm to a sequential one in a constructed product space. Preliminary experiments are conducted to demonstrate that the proposed approach converges faster than the general extrapolated algorithms. | |
dc.publisher | American Institute of Mathematical Sciences | |
dc.relation.sponsoredby | http://purl.org/au-research/grants/arc/DP160102819 | |
dc.title | Convergence analysis of a parallel projection algorithm for solving convex feasibility problems | |
dc.type | Journal Article | |
dcterms.source.volume | 6 | |
dcterms.source.number | 4 | |
dcterms.source.startPage | 505 | |
dcterms.source.endPage | 519 | |
dcterms.source.issn | 2155-3289 | |
dcterms.source.title | Numerical Algebra, Control and Optimization | |
curtin.department | Department of Mathematics and Statistics | |
curtin.accessStatus | Open access via publisher |
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