報(bào)告題目:解相關(guān)線性方程組的加速隨機(jī)Kaczmarz算法
報(bào)告專家:中國(guó)民航大學(xué)董巧麗教授
報(bào)告地點(diǎn):騰訊會(huì)議(會(huì)議號(hào)328-171-9712;密碼314159)
報(bào)告時(shí)間:2023年12月26日, 上午10:00
報(bào)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(bào)告人簡(jiǎn)介:董巧麗,,中國(guó)民航大學(xué)教授,,主要從事非線性分析、最優(yōu)化理論及算法研究工作,。主持國(guó)家自然科學(xué)基金,、天津市教委重點(diǎn)項(xiàng)目和航空科學(xué)基金,,中國(guó)數(shù)學(xué)會(huì)計(jì)算數(shù)學(xué)分會(huì)理事,入選天津市“131”創(chuàng)新型人才培養(yǎng)工程二層次人選,。
作者:吳念慈,;編輯:劉鹍;審核:郭暉,;發(fā)布:郭敏,。