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Network Flows That Solve Linear Equations

Shi, Guodong; Anderson, Brian; Helmke, Uwe


We study distributed network flows as solvers in continuous time for the linear algebraic equation z=Hy .Each node i has access to a row hTi of the matrix H and the corresponding entry zi in the vector z. The first “consensus + projection” flow under investigation consists of two terms, one from standard consensus dynamics and the other contributing to projection onto each affine subspace specified by the hi and zi. The second “projection consensus” flow on the other hand simply replaces the...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: IEEE Transactions on Automatic Control
DOI: 10.1109/TAC.2016.2612819


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