1月演講
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Colloquium, Professor Tin-Yau Tam, Department of Mathematics and Statistics, University of Nevada, Reno
Thursday, January 11, 13:40—14:30 數學館3F會議室
Title: History of QR algorithm and Lie extensions Abstract:We will discuss the following algorithms, their history, and their extensions in Lie group:
(a) Francis-Kublanovskaya’s QR algorithm.
(b) Rutishauser’s LR algorithm.
These results are related to several important matrix decompositions, namely, SVD, QR decomposition, Gelfand-Naimark decomposition, LU decomposition, Jordan decomposition and their Lie counterparts: Cartan decomposition, Iwasawa decomposition, Bruhat decomposition, complete multiplicative Jordan decomposition.
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