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This paper first identifies a flaw in the proof of the convergence theorem of Algorithm 2 of the paper by Jindal “Sum power iterative water-filling for multi-antenna Gaussian broadcast channels,” IEEE Trans. Inf. Theory, vol. 54, no. 4, pp. 1570–1580, Apr. 2005 and then presents a corrected convergence proof for that algorithm.
He et al. (Tue,) studied this question.
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