154.com皇冠学术报告

On the Polyak momentum variants of the greedy deterministic single and multiple row-action methods

吴念慈

（中南民族大学）

报告时间：2023年8月8日 星期二 下午15:00-16:00

报告地点：沙河校区E404

报告摘要：For solving a consistent system of linear equations, the classical row-action method, such as Kaczmarz method, is a simple while really effective iteration solver. Based on the greedy index selection strategy and Polyak's heavy-ball momentum acceleration technique, we propose two deterministic row-action methods and establish the corresponding convergence theory. We show that our algorithm can linearly converge to a least-squares solution with minimum Euclidean norm. Several numerical studies have been presented to corroborate our theoretical findings. Real-world applications, such as data fitting in computer-aided geometry design, are also presented for illustrative purposes.

报告人简介：吴念慈，2020年6月毕业于武汉大学，获计算数学博士学位；同年8月，进入中南民族大学数统学院工作。研究方向为数值代数、反问题等，现已在Inverse Problems、Numerical Linear Algebra with Applications等计算数学专业杂志上发表SCI论文多篇。

邀请人：谢家新