Before revision:  We discuss an approach to quantify the improved linear asymptotic convergence factor that is based on computing the optimalasymptotic convergence factor for a stationary version of AA applied to ADMM . Numerical tests show that this allows us to estimate the asymptotic linear convergence factor of AA with finite window size applied to ADMM. The numerical results also explain how and by how much nonlinear acceleration methods like AA can accelerate ADMM, in terms of the spectral properties of the Jacobians of ADMM and stationary AA evaluated at the fixed point .
After revision:  We discuss an approach to quantify the improved linear asymptotic convergence factor that is based on computing the optimalasymptotic convergence factor for a stationary version of AA applied to ADMM . Numerical tests show that this allows us to estimate the asymptotic linear convergence factor of AA with finite window size that would allow quantification of this improvement in asymptotic convergence speed .