[專題演講] 【09月28日】李勇達 / Decompositions in matrix computations

by 許書豪 | 2022-09-20 18:51:25

Decompositions in matrix computations

時 間:2022-09-28 14:00 (星期三) / 地 點:M212 / 茶 會:M104 (13:30)

李勇達
李勇達 教授
(輔仁大學數學系)

Matrix decompositions play a central role in matrix computations. In this talk, we comment on the history of some widely used decompositions such as Cholesky decomposition; LU decomposition; QR decomposition; eigenvalue decomposition and singular value decomposition. Subsequently we take the QR algorithm and the Arnoldi iteration as examples to demonstrate the applications of the QR decomposition in matrix computations. Finally we present a novel matrix decomposition in pseudospectral methods.

Source URL: https://virtual.math.ntnu.edu.tw/index.php/2022/09/20/20220928_speech/