Asynchronous Distributed Algorithms for Solving Linear Algebraic Equations

DOI10.1109/TAC.2017.2714645zbMath1392.65022OpenAlexW2626045462MaRDI QIDQ4567080

Ji Liu, A. Stephen Morse, Shaoshuai Mou

Publication date: 27 June 2018

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2017.2714645

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

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Continuous distributed algorithms for solving linear equations in finite time ⋮ Distributed least squares solver for network linear equations ⋮ Distributed fixed point method for solving systems of linear algebraic equations ⋮ Distributed and communication-efficient solutions to linear equations with special sparse structure ⋮ Red light green light method for solving large Markov chains ⋮ Distributed solving linear algebraic equations with switched fractional order dynamics ⋮ Distributed observers design for a class of nonlinear systems to achieve omniscience asymptotically via differential geometry ⋮ Distributed networked learning with correlated data ⋮ Scalable distributed least square algorithms for large-scale linear equations via an optimization approach

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