Regularity of sets under a reformulation in a product space with reduced dimension

DOI10.1007/s11228-023-00702-2arXiv2303.13146OpenAlexW4388826986MaRDI QIDQ6141904

Publication date: 23 January 2024

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.13146

zbMATH Keywords

regularity linear convergence projection methods nonconvex feasibility problem product space reformulation super-regular set

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Decomposition methods (49M27)

Cites Work

Unnamed Item
Restricted normal cones and the method of alternating projections: theory
Linear and strong convergence of algorithms involving averaged nonexpansive operators
The method of alternating relaxed projections for two nonconvex sets
Local linear convergence for alternating and averaged nonconvex projections
Linear convergence of the generalized Douglas-Rachford algorithm for feasibility problems
Constraint reduction reformulations for projection algorithms with applications to wavelet construction
A product space reformulation with reduced dimension for splitting algorithms
The Douglas-Rachford algorithm for convex and nonconvex feasibility problems
Uniqueness of DRS as the 2 operator resolvent-splitting and impossibility of 3 operator resolvent-splitting
A cyclic Douglas-Rachford iteration scheme
Set regularities and feasibility problems
About regularity of collections of sets
A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting
Linear convergence of the Douglas–Rachford method for two closed sets
On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
Decomposition through formalization in a product space
Splitting Algorithms for the Sum of Two Nonlinear Operators
Linear Convergence of Projection Algorithms
Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems
Functional Operators (AM-22), Volume 2
Convex analysis and monotone operator theory in Hilbert spaces
Best approximation in inner product spaces
Distributed forward-backward methods for ring networks
The Splitting Algorithms by Ryu, by Malitsky–Tam, and by Campoy Applied to Normal Cones of Linear Subspaces Converge Strongly to the Projection onto the Intersection
Resolvent splitting for sums of monotone operators with minimal lifting

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