报告题目：解相关线性方程组的加速随机Kaczmarz算法

报告专家：中国民航大学董巧丽教授

报告地点：腾讯会议(会议号328-171-9712;密码314159)

报告时间：2023年12月26日, 上午10：00

报告摘要：By regarding the two-subspace Kaczmarz method as an alternated inertial randomized Kaczmarz algorithm we present a better convergence rate estimate under a mild condition. Furthermore, we accelerate the alternated inertial randomized Kaczmarz algorithm and introduce a multi-step inertial randomized Kaczmarz algorithm which is proved to have a faster convergence rate. Numerical experiments support the theory results and illustrate that the multi-inertial randomized Kaczmarz algorithm significantly outperform the two-subspace Kaczmarz method in solving coherent linear systems.

报告人简介：董巧丽，中国民航大学教授，主要从事非线性分析、最优化理论及算法研究工作。主持国家自然科学基金、天津市教委重点项目和航空科学基金，中国数学会计算数学分会理事，入选天津市“131”创新型人才培养工程二层次人选。

作者：吴念慈；编辑：刘鹍；审核：郭晖；发布：郭敏。