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5月25日学术报告:Fast computation of the largest singular values and vectors of large-scale discrete ill-po

作者:admin 点击:405 发布时间:2017-5-22 9:44:15

报告题目:Fast computation of the largest singular values and vectors of large-scale discrete ill-posed problems
 
报告人:Prof. Lothar Reichel 
 
报告时间:2017年5月25日周四  15:00-16:00
 
报告地点: 理学院547报告厅
 
摘要:
The singular value decomposition is commonly used to solve linear discrete ill-posed problems of small to moderate size. This decomposition not only can be applied to determine an approximate solution, but also provides insight into properties of the problem. However, large-scale problems generally are not solved with the aid of the singular value decomposition, because its computation is considered too expensive. We show that a truncated singular value decomposition, made up of a few of the largest singular values and associated right and left singular vectors, of the matrix of a large-scale linear discrete ill-posed problems can be computed quite inexpensively by an implicitly restarted Golub-Kahan bidiagonalization method.
 
报告人简介:
Prof. Lothar Reichel,美国Kent State University应用数学系教授;1982年在瑞典University of Stockholm获得博士学位;在数值分析、科学计算、数值代数等领域开展了一系列卓有成效的工作,在Numerische Mathematik、SIAM Journals、Numerical Linear Algebra with Applications等国际期刊上发表学术论文200多篇,论文被同行广泛引用。担任“Numerische Mathematik”、“Mathematics of Computation”、“SIAM Journal on Matrix Analysis and Applications”、 “Numerical Linear Algebra with Applications”等国际著名学术期刊编委。
联系人:王正盛