– 일시: 2017년 12월 13일 5시-6시
– 장소: 아산이학관 526호
– 연사: Professor Tin-Yau Tam (Auburn University)
– 제목: Matrix asymptotic results and their Lie extensions
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.