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PhD Thesis

  • Title: Convergence Rates of First-Order Splitting Methods
  • Chapter 4 contains unpublished result on a general multi-step inertial operator splitting scheme for monotone inclusion problem, which can be used to derive multi-step inertial versions of
    • Forward--Backward splitting, Generalized Forward--Backward, Forward--Douglas--Rachford splitting
    • A class of Primal--Dual splitting methods
    • Proximal Point Algorithm, Douglas--Rachford splitting and Alternating Direction Method of Multipliers (ADMM)