报告题目：Real structure-preserving algorithms of Householder based transformations for quaternion matrices

报 告 人：魏木生教授（上海师范大学教授，博士生导师）

报告摘要：In this talk, we survey three different forms of Householder based transformations for quaternion matrices in the literature, and propose a new form of quaternion Householder based transformation. We propose real structure-preserving algorithms of these Householder based transformations, which make the procedure computationally more flexible and efficient. We compare the computation counts and assignment numbers of these algorithms. We also compare the effectiveness of these real structure-preserving algorithms applying to the quaternion QRD and the quaternion SVD. All these four real structure-preserving algorithms are more efficient, comparing to the algorithms which apply Quaternion Toolbox using quaternion arithmetics, or algorithms which directly performs real Householder transformations on the real representation of a quaternion matrix. Among these four real structure-preserving algorithms, the most efficient ones are based on quaternion Householder reflection, and new proposed Householder based transformation.

报告时间：2018年5月21日（周一）上午10：30-11：30

报告地点：002cc白菜资讯三楼专家接待室

报告人简介：魏木生，上海师范大学数理学院教授，博士生导师，聊城大学特聘教授。原华东师范大学数学系教授，博士生导师，终身教授。享受国务院政府特殊津贴。主要研究方向为计算数学。主持完成国家自然科学基金六项，国家教委优秀年轻教师基金一项，上海市科委基础研究重点项目基金一项，曾经参加美国自然科学基金，美国海军研究基金，巴西圣保罗州研究基金，加拿大自然科学基金等项目。已在国内外知名刊物发表学术论文150余篇，出版专著4部，并先后获得过国家教委科技进步奖、宝钢教育基金优秀教师奖、上海市科技进步奖，上海市育才奖和上海市自然科学奖（两项）。