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PARTIALLY ASYNCHRONOUS ITERATIVE METHODS
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algorithm applied assigned assume Assumption asynchronous bounded broadcast called communication component computation consider constant continuous convergence convex coordinate corresponding cost defined definite depends differentiable direction discussed distributed dual elements entries equal equation equivalent example execution Exercise exists fact Figure fixed flow follows function Furthermore Gauss-Seidel given gradient graph holds hypercube Illustration implementation implies inequality initial integer iteration length limit linear mapping matrix method minimize multiplication node norm Note obtain optimal packet parallel particular path phase positive possible problem processor proof Prop Proposition prove received relaxation respectively result satisfies seen sequence shortest shown single node solution solving Step Subsection Suppose takes termination transmission unique units update variables vector xi(t zero