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“九章讲坛”第435讲 — 荆燕飞 研究员

日期:2021-07-21点击数:

应亚博游戏手机登录网站黄玉梅教授的邀请,电子科技大学数学科学学院荆燕飞研究员将于近期访问我校并作学术报告。欢迎广大师生参加。

报告题目:Block Krylov Solvers for Sequences of Linear Systems

时间:2021年7月23日10: 00

地点:理工楼518报告厅

摘要:In this talk, we are interested in the solution of a sequence of linear systems with several right-hand sides given simultaneously or in sequence. Such problems are required in many large scientific and industrial applications, such as in Lattice QCD, radar cross section calculation in computational electromagnetism, wave scattering and wave propagation in acoustics, various source locations in seismic and so on.Block Krylov subspace methods appear as good candidates for the solution of such linear systems in the computational sciences. However, different from the “happy breakdown” in regular single Krylov solvers for solving a system of linear equations with only one right-hand side, one difficulty for applying block Krylov solvers for solving such systems rests on a common issue of rank deficiency, which might appear when expanding the residual spaces, and is caused by the convergence of individual or linear combination of solution vectors. Such rank deficiency problem could lead the block Arnoldi process to breakdown before the solutions for all the right-hand sides are found. We report two recently-developed block minimun residual norm subspace methods with addressing such rank deficiency problems. This work is joint with Emmanuel Agullo, Luc Giraud, Ting-Zhu Huang, Yan-Fei Xiang.


荆燕飞研究员简介

荆燕飞,电子科技大学数学科学学院研究员,博士生导师,副院长。电子科技大学应用数学博士,法国国家信息与自动化研究所(INRIA)博士后,荷兰格罗宁根大学数学与计算机科学所访问学者。主要研究方向为数值代数与科学计算及应用,主持国家和部省级科研项目5项,在国际权威期刊发表了30多篇学术论文。获四川省科技进步一等奖(自然科学类)(排名第2),四川省优秀博士学位论文,美国百人会英才奖,第四届中国计算数学学会优秀青年论文竞赛二等奖,第五届中国计算数学学会青年优秀论文竞赛优秀奖,四川省数学会首届应用数学二等奖。担任中国高等教育学会教育数学专业委员会常务理事,四川省数学会理事会理事,四川省普通本科高等学校数学类专业教学指导委员会委员,四川省侨联特聘专家委员会特聘专家,四川欧美同学会·四川留学人员联谊会会员,成都欧美同学会·成都留学人员联谊会理事,四川省学术和技术带头人。


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