Barzilai-Borwein (BB) method

Preconditioned Barzilai-Borwein Methods for Multiobjective Optimization Problems

  • Jian Chen
    • Categories Multi-Criteria Optimization Tags , , ,

    Preconditioning is a powerful approach for solving ill-conditioned problems in optimization, where a preconditioning matrix is used to reduce the condition number and speed up the convergence of first-order method. Unfortunately, it is impossible to capture the curvature of all objective functions with a single preconditioning matrix in multiobjective optimization. Instead, second-order methods for multiobjective … Read more

    Two efficient gradient methods with approximately optimal stepsizes based on regularization models for unconstrained optimization

  • Zexian Liu
  • Wangli Chu
  • Hongwei Liu
    • Categories Unconstrained Optimization Tags , , , ,

    It is widely accepted that the stepsize is of great significance to gradient method. Two efficient gradient methods with approximately optimal stepsizes mainly based on regularization models are proposed for unconstrained optimization. More exactly, if the objective function is not close to a quadratic function on the line segment between the current and latest iterates, … Read more