Distributed least square solution method to linear algebraic equations over multiagent networks

Viet Hoang Pham; Hyo-Sung Ahn

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arXiv · 2303.07884

Distributed least square solution method to linear algebraic equations over multiagent networks

Viet Hoang Pham·Hyo-Sung Ahn

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Abstract

This paper designs a distributed least square solution method for a linear algebraic equation over a multiagent network. The coefficient matrix is divided into multiple blocks, and each agent only knows a subset of these blocks. The designed method is discrete-time and based on a proximal ADMM algorithm. By applying the designed method, each agent can find its corresponding part in one least square solution of the considered linear algebraic equation while using only its information and communicating with its neighbors. Numerical simulations verify the effectiveness of the designed method in MATLAB.

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BibTeX RIS

Viet Hoang Pham, Hyo-Sung Ahn. 2023-03-14. Distributed least square solution method to linear algebraic equations over multiagent networks. https://arxiv.org/abs/2303.07884

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