The Chambolle--Pock method converges weakly with $\theta >1/2$ and $\tau \sigma \Vert L{\Vert }^2<4/(1+2\theta )$

Sebastian Banert, Manu Upadhyaya, Pontus Giselsson

The Chambolle--Pock method is a versatile three-parameter algorithm designed to solve a broad class of composite convex optimization problems, which encompass two proper, lower sem…