Title page for etd-0726114-231715


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URN etd-0726114-231715
Author Jou-An Yen
Author's Email Address No Public.
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Department Applied Mathematics
Year 2013
Semester 2
Degree Master
Type of Document
Language English
Title Projection Methods for Constrained Convex Optimization
Date of Defense 2014-07-16
Page Count 16
Keyword
  • convergence
  • projection
  • fi xed point
  • algorithm
  • averaged mapping
  • nonexpansive mapping
  • Constrained convex optimization
  • Abstract In this paper, we study the problem of finding a common minimizer of a finite family of constrained minimization problems. We convert this problem into an equivalent problem of finding a common fixed point of a finite family of nonexpansive mappings. Our methods are basically projection methods. We use three kinds of projection methods which are cyclic, parallel and successive, respectively. We prove that the sequence generated by each of these three projection methods weakly converges to an optimal solution of the problem.
    Advisory Committee
  • Lai-Jiu Lin - chair
  • Jen-Chih Yao - co-chair
  • Ngai-Ching Wong - co-chair
  • Hong-Kun Xu - advisor
  • Files
  • etd-0726114-231715.pdf
  • Indicate in-campus at 1 year and off-campus access at 1 year.
    Date of Submission 2014-08-27

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