A General Self-Adaptive Relaxed-PPA Method for Convex Programming with Linear Constraints

Algorithm 4

Adaptation-II.

if𝑟𝑥^𝑘−𝑥^𝑘2≥𝜏₁𝑠𝜆^𝑘−𝜆^𝑘2+1𝑟𝐴^𝑇(𝜆^𝑘−𝜆^𝑘)²

 𝑟𝑟∶=2𝜇;𝑠=𝐴𝐴^𝑇𝑟;

elseif𝜏₂𝑟𝑥^𝑘−𝑥^𝑘2≤𝑠𝜆^𝑘−𝜆^𝑘2+1𝑟𝐴^𝑇(𝜆^𝑘−𝜆^𝑘)²

 𝑠𝑠∶=2𝜇;𝑟=𝐴𝐴^𝑇𝑠;

else

 𝑟∶=𝑟;𝑠∶=𝑠.