On accelerated Proximal Gradient Methods

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I am working on accelerated optimization scheme, which unified in the paper by Paul Tseng, "On Accelerated Proximal Gradient Methods for Convex-Concave Optimization". But unfortunately, it is sometimes difficult to understand. Is there any other source for this methods which is more clear and more explicit, especially about algorithms 3 and 4 of the paper. I think reading papers by Nesterov about this methods is more difficult. If there isn't. Can anyone explain where algorithms 3 and 4 come from?

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You could check out Boyd's monograph called Proximal Algorithms. Also, Vandenberghe's 236c notes are very helpful. Nesterov's textbook Introductory Lectures on Convex Optimization is another good resource for this material.