On the convergence of the iterates of "FISTA"

By Antonin Chambolle, Charles Dossal. 2015

110 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/9ba257680c45e7c830c5b354b5916b878e8b932f

Citations in the corpus

• The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than 1/k2 (2015, methodology): “ lim k→∞ kkxk+1 −xkk = 0, respectively. In other words, (Ψ+Φ)(xk) −min(Ψ+Φ) = o(k−2) and kxk+1 −xkk = o(k−1). Moreover, we recover some results from [2, Section 5], closely connected with the ones in [5], with simplified arguments. As shown in [2, Example 2.13], there is no p > 2 such that the ord”