A Variable Metric Proximal Point Algorithm for Monotone Operators
From MaRDI portal
Publication:4252991
DOI10.1137/S0363012992235547zbMath0918.90112MaRDI QIDQ4252991
Publication date: 24 June 1999
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Convex programming (90C25) Monotone operators and generalizations (47H05) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (27)
A customized proximal point algorithm for convex minimization with linear constraints ⋮ The developments of proximal point algorithms ⋮ Fast Moreau envelope computation I: Numerical algorithms ⋮ A new convergence analysis and perturbation resilience of some accelerated proximal forward–backward algorithms with errors ⋮ An accelerated inexact proximal point algorithm for convex minimization ⋮ A \(J\)-symmetric quasi-Newton method for minimax problems ⋮ Principled analyses and design of first-order methods with inexact proximal operators ⋮ Generic linear convergence through metric subregularity in a variable-metric extension of the proximal point algorithm ⋮ A projection-proximal point algorithm for solving generalized variational inequalities ⋮ An Asymptotically Superlinearly Convergent Semismooth Newton Augmented Lagrangian Method for Linear Programming ⋮ Variable metric forward-backward algorithm for minimizing the sum of a differentiable function and a convex function ⋮ On the optimal linear convergence rate of a generalized proximal point algorithm ⋮ An introduction to continuous optimization for imaging ⋮ Nonsymmetric proximal point algorithm with moving proximal centers for variational inequalities: convergence analysis ⋮ A general self-adaptive relaxed-PPA method for convex programming with linear constraints ⋮ A UNIFIED FRAMEWORK FOR SOME INEXACT PROXIMAL POINT ALGORITHMS* ⋮ Preconditioning of a Generalized Forward-Backward Splitting and Application to Optimization on Graphs ⋮ A variable metric proximal-descent algorithm for monotone operators ⋮ Customized proximal point algorithms for linearly constrained convex minimization and saddle-point problems: a unified approach ⋮ Modified proximal point algorithms on Hadamard manifolds ⋮ Convergence analysis of a variable metric forward-backward splitting algorithm with applications ⋮ Adaptive FISTA for Nonconvex Optimization ⋮ Variable metric forward–backward splitting with applications to monotone inclusions in duality ⋮ A Variable Metric Extension of the Forward–Backward–Forward Algorithm for Monotone Operators ⋮ The indefinite proximal point algorithms for maximal monotone operators ⋮ A splitting algorithm for coupled system of primal-dual monotone inclusions ⋮ Tseng’s Algorithm with Extrapolation from the past Endowed with Variable Metrics and Error Terms
This page was built for publication: A Variable Metric Proximal Point Algorithm for Monotone Operators