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Cited by 326 publications
(266 citation statements)
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“…Therefore the second assumption made in the Corollary 3.1 holds true, hence we only require assumptions A(a)-A(f), which are in fact quite mild. For example, they are met by the following instance of the consensus problem (see [7,Section 7] for introduction of the consensus problem) 25) where w > 0 is some constant. Thus, the two block ADMM algorithm converges linearly for (3.25) regardless of the rank of A.…”
Section: Qedmentioning
confidence: 99%
“…Therefore the second assumption made in the Corollary 3.1 holds true, hence we only require assumptions A(a)-A(f), which are in fact quite mild. For example, they are met by the following instance of the consensus problem (see [7,Section 7] for introduction of the consensus problem) 25) where w > 0 is some constant. Thus, the two block ADMM algorithm converges linearly for (3.25) regardless of the rank of A.…”
Section: Qedmentioning
confidence: 99%
“…The convergence of three-part ADMM is explained in [2], in which He et al suggested that there is little difference between ADMMs with or without the use of Gaussian back substitution, and in practice, the process always achieves an O(1/k) convergence rate. Therefore, under the convergence guarantee, the next major step is to derive the closed-form solution of the sub-problem for shadow matrix S .…”
Section: Algorithm Framework and Solution Of Shadow Matrixmentioning
confidence: 99%
“…The alternating directions method (ADM) is a powerful method for solving (6) [8], [9]. Taking advantage of ADM, problem (5) can be solved with the following iterative scheme.…”
Section: Solutionmentioning
confidence: 99%