This paper first identifies a flaw in the proof of the convergence theorem of Algorithm 2 of the paper by Jindal <etal xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"/> [“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.
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He et al. (2011) studied this question.
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