Scholarlink

<p>In this paper, a regularized dynamical system of forward–backward–forward type method for solving structured monotone inclusions is studied. The novelty of the proposed dynamics consists of the fact that only the algebraic part of the dynamical system needs to be regularized, while the differential part remains unchanged. We obtain strong convergence of the generated trajectories to a solution of the original monotone inclusion and under strong monotonicity conditions we obtain a convergence estimate. A time discretization of the dynamical system by explicit Euler scheme provides an iterative regularization forward–backward–forward splitting method with relaxation parameters. Numerical experiments illustrate the effectiveness of the proposed dynamical system approach with regularization.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A simple regularized forward–backward–forward dynamical system for structured monotone inclusions

  • 期刊论文

  • 发表日期：

    2025年3月14日

查看全文
  • Pham Ky Anh,
  • Trinh Ngoc Hai

摘要

In this paper, a regularized dynamical system of forward–backward–forward type method for solving structured monotone inclusions is studied. The novelty of the proposed dynamics consists of the fact that only the algebraic part of the dynamical system needs to be regularized, while the differential part remains unchanged. We obtain strong convergence of the generated trajectories to a solution of the original monotone inclusion and under strong monotonicity conditions we obtain a convergence estimate. A time discretization of the dynamical system by explicit Euler scheme provides an iterative regularization forward–backward–forward splitting method with relaxation parameters. Numerical experiments illustrate the effectiveness of the proposed dynamical system approach with regularization.