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随机Kaczmarz迭代步骤:算法扩大和收敛理论

2023.10.18

投稿:龚惠英部门:理学院浏览次数:

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汇报标题 (Title):Randomized Kaczmarz Iteration Methods:Algorithmic Extensions and Convergence Theory (随机Kaczmarz迭代步骤:算法扩大和收敛理论)

汇报人 (Speaker):白中治 教授(中国科学院数学与系统科学钻研院)

汇报功夫 (Time):2023年10月20日(周五) 8:00

汇报地址 (Place):校本部F309

约请人(Inviter):李常品、蔡敏

主办部门:理学院数学系

汇报提要:We review and compare several representative and effective randomized projection iteration methods, including the randomized Kaczmarz method, the randomized coordinate descent method, and their modifications and extensions, for solving the large, sparse, consistent or inconsistent systems of linear equations. We also anatomize, extract, and purify the asymptotic convergence theories of these iteration methods, and discuss, analyze, and summarize their advantages and disadvantages from the viewpoints of both theory and computations.

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