Ba Khiet Le

New efficient approach in finding a zero of a maximal monotone operator

  • Ba Khiet Le
    • Categories Convex Optimization, Nonsmooth Optimization Tags , , ,

    In the paper, we provide a new efficient approach to find a zero of a maximal monotone operator under very mild assumptions. Using a regularization technique and the proximal point algorithm, we can construct a sequence that converges strongly to a solution with at least linear convergence rate. ArticleDownload View PDF

    On the linear convergence of the forward-backward splitting algorithm

  • Ba Khiet Le
    • Categories Convex and Nonsmooth Optimization Tags , , ,

    In this paper, we establish a linear convergence result for the forward-backward splitting algorithm in the finding a zero of the sum of two maximal monotone operators, where one of them is set-valued strongly monotone and the other is Lipschitz continuous. We show that our convergence rate is better than Douglas–Rachford splitting algorithm’s rate used … Read more