导航
学术报告|
当前位置:首页  科研  学术报告
报告题目: Some matrix equations and tensor decompositions over the quaternion algebra and their applications
报 告 人: 何卓衡
报告人所在单位: 上海大学
报告日期: 2021-12-02
报告时间: 14:00-15:00
报告地点: 腾讯会议ID: 203813323, 密码: 200433
   
报告摘要:

In this talk, we will consider some matrix equations and tensor decompositions over the quaternion algebra. We give some necessary and sufficient solvability conditions for some systems of Sylvester-type quaternion matrix equations in terms of ranks and generalized inverses of matrices. We also derive the general solutions to these systems when they are solvable. Moreover, we give some algorithms and numerical examples. We establish some simultaneous decomposition for tensors via different tensor products. These simultaneous decompositions transforms the tensors into some nice forms. We conclude with applications in the color video signal processing and color watermark processing.

12.2.pdf

   
本年度学院报告总序号: 334

Copyright © |2012 复旦大学数学科学学院版权所有 沪ICP备042465