68. Regularity of sets under a reformulation in a product space of reduced dimension
Invited abstract in session WF-3: Splitting algorithms, stream Variational analysis: theory and algorithms.
Wednesday, 16:20 - 18:00Room: M:J
Authors (first author is the speaker)
| 1. | Rubén Campoy
|
| Department of Mathematics, Universidad de Alicante |
Abstract
Different notions on regularity of sets and of collection of sets play an important role in the analysis of the convergence of projection algorithms in nonconvex scenarios. While some projection algorithms can be applied to feasibility problems defined by finitely many sets, some other require the use of a product space reformulation to construct equivalent problems with two sets. In this talk we analyze how some regularity properties are preserved under a reformulation in a product space of reduced dimension. This allows us to establish local linear convergence of parallel projection methods which are constructed through this reformulation.
Keywords
- Analysis and engineering of optimization algorithms
Status: accepted
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