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Matrix and Lie asymptotic results
时间  Datetime
2017-05-31 09:00 — 10:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Tin-Yau Tam
单位  Affiliation
Auburn University
邀请人  Host
Zhang Xiaodong
报告摘要  Abstract

We will discuss some recent asymptotic results in matrix space and their extensions in Lie group, namely,
(1) Beurling-Gelfand-Yamamoto's theorem and the generalization of Huang and Tam.
(2) QR and Iwasawa asymptotic results of Huang and Tam.
(3) Francis-Kublanovskaya's QR algorithm and the generalization of Holmes, Huang and Tam.  
(4) Rutishauer's LR algorithm and the generalization of Thompson and Tam.
These results are related to several important matrix decompositions, namely, SVD, QR decomposition, Gelfand-Naimark decomposition, Jordan decomposition and their counterparts, Cartan decomposition, Iwasawa decomposition, Bruhat decomposition, complete multiplicative Jordan decomposition