Convergence of string-averaging method for a class of operators
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Publication:2829581
DOI10.1080/10556788.2016.1209500OpenAlexW2507011108MaRDI QIDQ2829581
Mahdi Mirzapour, Mokhtar Abbasi, Touraj Nikazad
Publication date: 8 November 2016
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10556788.2016.1209500
Convex programming (90C25) Iterative procedures involving nonlinear operators (47J25) Numerical methods of relaxation type (49M20)
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Cites Work
- Unnamed Item
- Iterative methods for fixed point problems in Hilbert spaces
- Extrapolation and local acceleration of an iterative process for common fixed point problems
- Block-iterative methods for consistent and inconsistent linear equations
- Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
- A parallel subgradient projections method for the convex feasibility problem
- Iterative algorithms for large partitioned linear systems, with applications to image reconstruction
- Convergence of sequential and asynchronous nonlinear paracontractions
- Block-iterative projection methods for parallel computation of solutions to convex feasibility problems
- An acceleration scheme for cyclic subgradient projections method
- Convergence and perturbation resilience of dynamic string-averaging projection methods
- Family constraining of iterative algorithms
- Operators and iterative processes of Fejér type. Theory and applications.
- AIR tools -- a MATLAB package of algebraic iterative reconstruction methods
- Extrapolation algorithm for affine-convex feasibility problems
- On the string averaging method for sparse common fixed‐point problems
- Perturbation‐resilient block‐iterative projection methods with application to image reconstruction from projections
- On Diagonally Relaxed Orthogonal Projection Methods
- Properties of a class of block-iterative methods
- Decomposition through formalization in a product space
- Convergence of String-Averaging Projection Schemes for Inconsistent Convex Feasibility Problems
- On Projection Algorithms for Solving Convex Feasibility Problems
- Block-Iterative Algorithms with Diagonally Scaled Oblique Projections for the Linear Feasibility Problem
- Accelerated perturbation-resilient block-iterative projection methods with application to image reconstruction
- A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
- String-averaging projected subgradient methods for constrained minimization
