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Exact(12)
In this case, convergence is attained after three iterations.
For a realistic test case, convergence is attained in an acceptable time with 128 processors.
As in the previous case, convergence is attained after five iterations.
In this case, convergence of the butterfly shuffled decoding process tends towards 0.5.
In this case convergence of the process is questionable, for example, it may imply the end of the technical progress.
In each case, convergence studies are conducted as the domain size for the microscale problem is changed.
Similar(48)
Our protocol has a message exchange complexity of O(1) and a worst-case convergence time complexity of O(N).
For the new method, we prove its global convergence and establish its worst-case convergence rate in the ergodic sense.
In this section, we aim to prove the global convergence of Algorithm 1, and establish its worst-case convergence rate in a nonergodic sense.
Under a mild condition, we prove the global convergence and establish a worst-case convergence rate for the new inexact algorithm.
In Sections 3 and 4, we present the inexact PSALM algorithm with the new criteria, and its global convergence and worst-case convergence rate, respectively.
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