Cover Image

Convergence of the Preconditioned Proximal Point Method and Douglas-Rachford Splitting in the Absence of Monotonicity

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Evens, Brecht, Pas, Pieter, Latafat, Puya, Patrinos, Panagiotis
Format:	Preprint
Published:	2023
Subjects:	Optimization and Control 47H04, 49J52, 49J53, 65K05, 65K15, 90C26
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Convergence of the Chambolle-Pock Algorithm in the Absence of Monotonicity
by: Evens, Brecht, et al.
Published: (2023)

Spingarn's Method and Progressive Decoupling Beyond Elicitable Monotonicity
by: Evens, Brecht, et al.
Published: (2025)

Cyclic Relaxed Douglas-Rachford Splitting for Inconsistent Nonconvex Feasibility
by: Dinh, Thi Lan, et al.
Published: (2025)

Convergence analysis of a proximal-type algorithm for DC programs with applications to variable selection
by: Wu, Shuang, et al.
Published: (2015)

Smoothness of Subgradient Mappings and Its Applications in Parametric Optimization
by: Hang, Nguyen T. V., et al.
Published: (2023)

Understanding the Douglas-Rachford splitting method through the lenses of Moreau-type envelopes
by: Atenas, Felipe
Published: (2023)

The Golden Ratio Primal-Dual Algorithm with Two New Stepsize Rules for Convex-Concave Saddle Point Problems
by: Soe, Santanu, et al.
Published: (2025)

Scaled Relative Graphs for Nonmonotone Operators with Applications in Circuit Theory
by: Quan, Jan, et al.
Published: (2024)

Block-coordinate and incremental aggregated proximal gradient methods for nonsmooth nonconvex problems
by: Latafat, Puya, et al.
Published: (2019)

Forward-Reflected-Backward and Shadow-Douglas--Rachford with partial inverse for Solving Monotone Inclusions
by: Roldán, Fernando
Published: (2023)

A penalty barrier framework for nonconvex constrained optimization
by: De Marchi, Alberto, et al.
Published: (2024)

Local properties and augmented Lagrangians in fully nonconvex composite optimization
by: De Marchi, Alberto, et al.
Published: (2023)

Bregman Finito/MISO for nonconvex regularized finite sum minimization without Lipschitz gradient continuity
by: Latafat, Puya, et al.
Published: (2021)

Quasar-Convex Optimization: Fundamental Properties and High-Order Proximal-Point Methods
by: Ahookhosh, Masoud, et al.
Published: (2026)

Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: decoupling approach revisited
by: Fabian, Marián, et al.
Published: (2023)

Stability Criteria and Calculus Rules via Conic Contingent Coderivatives in Banach Spaces
by: Mordukhovich, Boris S., et al.
Published: (2024)

Relative Well-Posedness of Truncated Constrained Systems Accompanied by Variational Calculus
by: Mordukhovich, Boris S., et al.
Published: (2022)

Stability of Nonhomogeneous Split Equality and Split Feasibility Problems with Possibly Nonconvex Constraint Sets
by: Huong, Vu Thi, et al.
Published: (2024)

Douglas-Rachford splitting and ADMM for nonconvex optimization: Accelerated and Newton-type linesearch algorithms
by: Themelis, Andreas, et al.
Published: (2020)

An Inexact Boosted Difference of Convex Algorithm for Nondifferentiable Functions
by: Ferreira, Orizon P., et al.
Published: (2024)

Algorithmic approaches to avoiding bad local minima in nonconvex inconsistent feasibility
by: Dinh, Thi Lan, et al.
Published: (2025)

Modified Bregman Golden Ratio Algorithm for Mixed Variational Inequality Problems
by: Kumar, Gourav, et al.
Published: (2025)

Weak convergence of projection algorithm with momentum terms and new step size rule for quasimonotone variational inequalities
by: Kumar, Gourav, et al.
Published: (2025)

An interior-point trust-region method for nonsmooth regularized bound-constrained optimization
by: Leconte, Geoffroy, et al.
Published: (2024)

ItsOPT: An inexact two-level smoothing framework for nonconvex optimization via high-order Moreau envelope
by: Kabgani, Alireza, et al.
Published: (2024)

ItsDEAL: Inexact two-level smoothing descent algorithms for weakly convex optimization
by: Kabgani, Alireza, et al.
Published: (2025)

A Unified Regularity Condition for Optimal Control: Bridging LICQ, MFCQ, and Subdifferentials
by: Abbasov, Majid
Published: (2026)

SPIRAL: A superlinearly convergent incremental proximal algorithm for nonconvex finite sum minimization
by: Behmandpoor, Pourya, et al.
Published: (2022)

Convergence of a Multi-Inertial-Iteration Scheme in Cone b, p-Normed Banach Spaces
by: Rada, Elvin
Published: (2025)

Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces
by: Schiavo, Lorenzo Dello, et al.
Published: (2023)

On the natural domain of Bregman operators
by: Themelis, Andreas, et al.
Published: (2025)

Bregman level proximal subdifferentials and new characterizations of Bregman proximal operators
by: Wang, Ziyuan, et al.
Published: (2025)

A relaxed version of Ryu's three-operator splitting method for structured nonconvex optimization
by: Alcantara, Jan Harold, et al.
Published: (2025)

Extra-Gradient Method with Flexible Anchoring: Strong Convergence and Fast Residual Decay
by: Boţ, Radu Ioan, et al.
Published: (2024)

Stability and Regularization of Quasi-Variational Inequalities under Monotone Operator Perturbations
by: Rashid, M. H. M.
Published: (2025)

Bridging local and semilocal stability: A topological approach
by: Camacho, J.
Published: (2026)

No-gap second-order conditions for minimization problems in spaces of measures
by: Wachsmuth, Gerd, et al.
Published: (2024)

A Symplectic Discretization Based Proximal Point Algorithm for Convex Minimization
by: Yuan, Ya-xiang, et al.
Published: (2024)

Cyqlone: A Parallel, High-Performance Linear Solver for Optimal Control
by: Pas, Pieter, et al.
Published: (2025)

Weak sharp minima at infinity and solution stability in mathematical programming via asymptotic analysis
by: Lara, Felipe, et al.
Published: (2024)