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scientific article; zbMATH DE number 7363383

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7363383

Statements

scholarly article

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publication date

25 June 2021

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full work available at URL

https://www.heldermann.de/MTA/MTA06/MTA061/mta06001.htm

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zbMATH Keywords

convex structured optimization

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linear constraint

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Lagrange multipliers

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maximally monotone operators

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proximal ADMM

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inertial methods

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Nesterov accelerated method

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Hessian damping

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping

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A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics.

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Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality

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A strongly convergent primal-dual method for nonoverlapping domain decomposition

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Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity

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Convergence of damped inertial dynamics governed by regularized maximally monotone operators

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Convergence Rates of Inertial Forward-Backward Algorithms

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Convergence of a relaxed inertial proximal algorithm for maximally monotone operators

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Convergence of a relaxed inertial forward-backward algorithm for structured monotone inclusions

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Convergence rate of a relaxed inertial proximal algorithm for convex minimization

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Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity

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Combining fast inertial dynamics for convex optimization with Tikhonov regularization

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Convergence rate of inertial proximal algorithms with general extrapolation and proximal coefficients

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Coupling Forward-Backward with Penalty Schemes and Parallel Splitting for Constrained Variational Inequalities

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Asymptotic behavior of second-order dissipative evolution equations combining potential with non-potential effects

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The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than $1/k^2$

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Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators

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Fast convex optimization via inertial dynamics with Hessian driven damping

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A New Class of Alternating Proximal Minimization Algorithms with Costs-to-Move

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Convex analysis and monotone operator theory in Hilbert spaces

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A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

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On damped second-order gradient systems

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Approaching monotone inclusion problems via second order dynamical systems with linear and anisotropic damping

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An inertial Tseng's type proximal algorithm for nonsmooth and nonconvex optimization problems

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Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems

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An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems

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An inertial alternating direction method of multipliers

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Inertial Douglas-Rachford splitting for monotone inclusion problems

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Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers

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A Monotone+Skew Splitting Model for Composite Monotone Inclusions in Duality

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On the convergence of the iterates of the ``fast iterative shrinkage/thresholding algorithm''

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Inertial Proximal ADMM for Linearly Constrained Separable Convex Optimization

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A proximal-based deomposition method for compositions method for convex minimization problems

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Quasi-Nonexpansive Iterations on the Affine Hull of Orbits: From Mann's Mean Value Algorithm to Inertial Methods

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MiKM: multi-step inertial Krasnosel'skiǐ-Mann algorithm and its applications

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Performance of first-order methods for smooth convex minimization: a novel approach

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Fast alternating linearization methods for minimizing the sum of two convex functions

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Fast Alternating Direction Optimization Methods

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Optimized first-order methods for smooth convex minimization

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Another Look at the Fast Iterative Shrinkage/Thresholding Algorithm (FISTA)

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Inertial Game Dynamics and Applications to Constrained Optimization

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An inertial forward-backward algorithm for monotone inclusions

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On the Convergence of Alternating Direction Lagrangian Methods for Nonconvex Structured Optimization Problems

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Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms

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Convergence of a splitting inertial proximal method for monotone operators

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Introductory lectures on convex optimization. A basic course.

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iPiano: Inertial Proximal Algorithm for Nonconvex Optimization

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Weak convergence of the sequence of successive approximations for nonexpansive mappings

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Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time

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Monotone Operators and the Proximal Point Algorithm

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Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming

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A UNIFIED FRAMEWORK FOR SOME INEXACT PROXIMAL POINT ALGORITHMS<sup>*</sup>

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4995610

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