A Dynamic Alternating Direction of Multipliers for Nonconvex Minimization with Nonlinear Functional Equality Constraints

2021 ◽  
Author(s):  
Eyal Cohen ◽  
Nadav Hallak ◽  
Marc Teboulle
Keyword(s):  
Equality Constraints ◽  
Nonconvex Minimization ◽  
Nonlinear Functional ◽  
Alternating Direction

A Symmetric Alternating Direction Method of Multipliers for Separable Nonconvex Minimization Problems

2017 ◽  
Vol 34 (06) ◽  
pp. 1750030 ◽  
Author(s):  
Zhongming Wu ◽  
Min Li ◽  
David Z. W. Wang ◽  
Deren Han
Keyword(s):  
Linear Constraints ◽  
Bounded Sequence ◽  
Alternating Direction Method ◽  
Method Of Multipliers ◽  
Penalty Parameter ◽  
Augmented Lagrangian Function ◽  
Nonconvex Minimization ◽  
Nonconvex Functions ◽  
Alternating Direction ◽  
The Given

In this paper, we propose a symmetric alternating method of multipliers for minimizing the sum of two nonconvex functions with linear constraints, which contains the classic alternating direction method of multipliers in the algorithm framework. Based on the powerful Kurdyka–Łojasiewicz property, and under some assumptions about the penalty parameter and objective function, we prove that each bounded sequence generated by the proposed method globally converges to a critical point of the augmented Lagrangian function associated with the given problem. Moreover, we report some preliminary numerical results on solving [Formula: see text] regularized sparsity optimization and nonconvex feasibility problems to indicate the feasibility and effectiveness of the proposed method.

Performance analysis of various massive MIMO detection algorithms in 5G Wireless technologies

2019 ◽  
Vol 10 ◽  
Author(s):  
Shihab Jimaa ◽  
Jawahir Al-Ali
Keyword(s):  
Massive Mimo ◽  
Spectrum Efficiency ◽  
System Capacity ◽  
Network Coverage ◽  
Mimo Detection ◽  
Infinity Norm ◽  
Detection Algorithms ◽  
Alternating Direction ◽  
5G Systems ◽  
Efficient Power

Background: The 5G will lead to a great transformation in the mobile telecommunications sector. Objective: The huge challenges being faced by wireless communications such as the increased number of users have given a chance for 5G systems to be developed and considered as an alternative solution. The 5G technology will provide a higher data rate, reduced latency, more efficient power than the previous generations, higher system capacity, and more connected devices. Method: It will offer new different technologies and enhanced versions of the existing ones, as well as new features. 5G systems are going to use massive MIMO (mMIMO), which is a promising technology in the development of these systems. Furthermore, mMIMO will increase the wireless spectrum efficiency and improve the network coverage. Result: In this paper we present a brief survey on 5G and its technologies, discuss the mMIMO technology with its features and advantages, review the mMIMO capacity and energy efficiency and also presents the recent beamforming techniques. Conclusion: Finally, simulation of adopting different mMIMO detection algorithms are presented, which shows the alternating direction method of multipliers (ADMM)-based infinity-norm (ADMIN) detector has the best performance.

Sign in / Sign up

Export Citation Format

Share Document