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【95周年校庆系列讲座】Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems

时间: 2019-11-23         阅读:

光华讲坛——社会名流与企业家论坛第5942期


主题: 外围买彩票appKaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems

主讲人: 同济大学 殷俊锋教授

主持人: 经济数学学院 顾先明博士

时间: 外围买彩票app2020年11月24日(周二)9:30-11:00

直播平台及会议ID: 腾讯会议,336 625 540

主办单位:外围买彩票app_靠谱的外围买球app_【官网】 经济数学学院 科研处

主讲人简介:

外围买彩票appYINJUNFENG,TONGJIDAXUESHUXUEKEXUEXUEYUANJIAOSHOU,BOSHISHENGDAOSHI,TONGJIDAXUECHUANGXINCHUANGYEXUEYUANFUYUANZHANG,ZHANGQICONGSHISHUZHIDAISHU、BINGXINGJISUANHEGAOXINGNENGJISUANFANGFADENGFANGMIANDEYANJIU,ZHUCHIHECANYUDUOXIANGGUOJIAZIRANKEXUEJIJINYUSHENGBUJIKEYANXIANGMU。BINGZAIGUOJIZHIMINGQIKANSHANGFABIAODUOPIANGAOSHUIPINGDEXUESHULUNWEN。2009NIANHUODESHANGHAISHIKEWEIPUJIANGRENCAIZIZHU,2010NIANRONGHUOZHONGGUOSHUXUEHUIYINGYONGSHUZHIDAISHUJIANG,2013NIANRONGHUOSHANGHAISHIYOUXIUSHUOSHILUNWENZHIDAOLAOSHI。

内容提要:

We propose using greedy and randomized Kaczmarz inner-iterations as preconditioners for the right-preconditioned flexible GMRES method to solve consistent linear systems, with a parameter tuning strategy for adjusting the number of inner iterations and the relaxation parameter. We also present theoretical justifications of the right-preconditioned flexible GMRES for solving consistent linear systems. Numerical experiments on overdetermined and underdetermined linear systems show that the proposed method is superior to the GMRES method preconditioned by NE-SOR inner iterations in terms of total CPU time.

WAIWEIMAICAIPIAOappTICHULEYILEINEIWAIDIEDAIGESHIDEYUCHULIGMRESFANGFA,QIYUCHULIGUOCHENGSHIJIYUTANLANSUIJIKaczmarzFANGFAWANCHENGDE。WAIWEIMAICAIPIAOappTAOLUNLENEIDIEDAIBUSHUHESONGCHIYINZIDECANSHUDIAOZHENGCELVE,BINGDUIYOUYUCHULIGMRESJICHULILUNFENXI。ZHENDUICHAODINGHEQIANDINGXIANXINGXITONGDESHUZHISHIYANBIAOMINGSUANFAYOUYUNE-SORYUCHULIDEGMRESFANGFA。

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