報告題目:解相關線性方程組的加速隨機Kaczmarz算法
報告專家:中國民航大學董巧麗教授
報告地點:騰訊會議(會議號328-171-9712;密碼314159)
報告時間:2023年12月26日, 上午10:00
報告摘要: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 signi?cantly outperform the two-subspace Kaczmarz method in solving coherent linear systems.
報告人簡介:董巧麗,中國民航大學教授,主要從事非線性分析、最優化理論及算法研究工作。主持國家自然科學基金、天津市教委重點項目和航空科學基金,中國數學會計算數學分會理事,入選天津市“131”創新型人才培養工程二層次人選。
作者:吳念慈;編輯:劉鹍;審核:郭暉;發布:郭敏。