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【学术报告】On the Polyak momentum variants of the greedy deterministic single and multiple row-action methods

发布日期:2023-08-07    点击:

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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:202388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,20206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 ProblemsNumerical 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

 

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