Generalized Tensor Eigenvalue Problems
Speaker:Prof. Yimin WEI, Professor of Fudan University
Date & Time:2 Feb 2015 (Monday) 10:30 - 11:30
Venue:E11-1036
Organized by:Department of Mathematics

Abstract

In this talk, it is devoted to the generalized tensor eigenvalue problems. We focus on the properties and perturbations of the spectra of regular tensor pairs. Employing different techniques, we extend several classical results from matrices or matrix pairs to tensor pairs, such as the Gershgorin circle theorem, the Perron-Frobenius theorem, the Bauer-Fike theorem, the Rayleigh-Ritz theorem, the backward error analysis, the componentwise distance of a nonsingular tensor to singularity, etc. Some of these results preserve their original forms, whereas the others change when being extended.

Biography

Prof. Wei received his B.S. and Ph.D. degrees in computational mathematics from Shanghai Normal University, Shanghai, China, and from Fudan University, Shanghai, China, in 1991 and 1997, respectively. He was a Visiting Scholar with the Division of Engineering and Applied Science of Harvard University, Boston, Mass, USA, from 2000 to 2001. He was a Lecturer of the Department of Mathematics at Fudan University from 1997 to 2000. From 2001 to 2005, he was an Associate Professor in the School of Mathematical Science at Fudan University. He is now a Professor at the School of Mathematical Science of Fudan University. His research interests include numerical linear algebra, sensitivity in computational linear control, and perturbation analysis.