scientific article; zbMATH DE number 7811211

arXiv2002.07878MaRDI QIDQ6200252

Raul T. Marcavillaca, Marina Geremia, M. Marques Alves

Publication date: 29 February 2024

Full work available at URL: https://arxiv.org/abs/2002.07878

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

operator splittingmonotone operatorsrelative errorinertial algorithmsprojective splitting

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Decomposition methods (49M27) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Cites Work

• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• Inertial Douglas-Rachford splitting for monotone inclusion problems
• Convergence of damped inertial dynamics governed by regularized maximally monotone operators
• Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators
• Single-forward-step projective splitting: exploiting cocoercivity
• Projective splitting with forward steps
• On inexact relative-error hybrid proximal extragradient, forward-backward and Tseng's modified forward-backward methods with inertial effects
• Warped proximal iterations for monotone inclusions
• Convergence of a relaxed inertial proximal algorithm for maximally monotone operators
• Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms
• Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions
• Best Approximation from the Kuhn-Tucker Set of Composite Monotone Inclusions
• Solving Composite Monotone Inclusions in Reflexive Banach Spaces by Constructing Best Bregman Approximations from Their Kuhn-Tucker Set
• General Projective Splitting Methods for Sums of Maximal Monotone Operators
• Quasi-Nonexpansive Iterations on the Affine Hull of Orbits: From Mann's Mean Value Algorithm to Inertial Methods
• Multivariate Monotone Inclusions in Saddle Form
• Convergence Rates for Projective Splitting
• Solving Coupled Composite Monotone Inclusions by Successive Fejér Approximations of their Kuhn--Tucker Set
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Convex analysis and monotone operator theory in Hilbert spaces
• An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping

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