A distributed algorithm for solving linear algebraic equations over random networks

SS Alaviani, N Elia - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
This article considers the problem of solving linear algebraic equations of the form Ax= b
among multiagents, which seek a solution by using local information in presence of random …

Distributed algorithm to solve a system of linear equations with unique or multiple solutions from arbitrary initializations

P Wang, W Ren, Z Duan - IEEE Transactions on Control of …, 2018 - ieeexplore.ieee.org
A discrete-time distributed algorithm to solve a system of linear equations Ax= b is proposed
with M-Fejer map**s. The algorithm can find a solution of Ax= b from arbitrary …

Rapid solution of linear equations with distributed algorithms over networks

O Cihan - IFAC-PapersOnLine, 2019 - Elsevier
In this study, we investigate the problem of accelerating distributed algorithms for solving
linear equations over multi-agent networks. While almost all distributed algorithms in the …

Distributed algorithms for solving a linear equation under a directed graph

Y Tang, J Mei - 2018 37th Chinese Control Conference (CCC), 2018 - ieeexplore.ieee.org
In this paper, we explore to solve the linear equation problem Aθ= b under a directed graph.
A “consen-sus+ innovation” type distributed algorithm is proposed. In order to promote the …

Applications of fixed point theory to distributed optimization, robust convex optimization, and stability of stochastic systems

SS Alaviani - 2019 - search.proquest.com
Large-scale multi-agent networked systems are becoming more and more popular due to
applications in robotics, machine learning, and signal processing. Although distributed …

Analysis of a distributed algorithm for solving linear equations

OM Duru - 2019 - search.proquest.com
Solving a linear equation system is one of the most known and important problems in
science and engineering. Such systems have numerous applications such as forecasting …

[LIVRE][B] Distributed Algorithms to Convex Optimization Problems

P Wang - 2017 - search.proquest.com
UNIVERSITY OF CALIFORNIA RIVERSIDE Distributed Algorithms to Convex Optimization
Problems A Dissertation submitted in partial sa Page 1 UNIVERSITY OF CALIFORNIA …