Convergence analysis of modified inertial forward–backward splitting scheme with applications
From MaRDI portal
Publication:6139754
DOI10.1002/mma.8024OpenAlexW4200054748MaRDI QIDQ6139754
Jen-Chih Yao, Olaniyi Samuel Iyiola, Yekini Shehu, Cyril Dennis Enyi
Publication date: 19 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8024
strong convergenceweak convergenceHilbert spacesinertial forward-backward splittinglasso penalty problemsSCAD penalty problems
Convex programming (90C25) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Numerical methods for variational inequalities and related problems (65K15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- A primal-dual splitting method for convex optimization involving Lipschitzian, proximable and linear composite terms
- A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators
- An inertial forward-backward algorithm for monotone inclusions
- Convergence theorems for inertial KM-type algorithms
- Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
- Convergence of a splitting inertial proximal method for monotone operators
- A first-order primal-dual algorithm for convex problems with applications to imaging
- A splitting algorithm for dual monotone inclusions involving cocoercive operators
- Iterative method with inertial terms for nonexpansive mappings: applications to compressed sensing
- General inertial proximal gradient method for a class of nonconvex nonsmooth optimization problems
- Proximal Splitting Methods in Signal Processing
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Atomic Decomposition by Basis Pursuit
- Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Forward-Douglas–Rachford splitting and forward-partial inverse method for solving monotone inclusions
- Some methods of speeding up the convergence of iteration methods
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Convex analysis and monotone operator theory in Hilbert spaces
