报告人：贾志刚(江苏师范大学)

时间：2023年11月10日 15:00-

地点：理科楼LA106

摘要：The existing shift technique for quaternion matrix computation is to use real shifts rather than quaternion shifts, because quaternions are multiplicatively non-commutative in general. This becomes the obstacle to the development of fast and stable algorithms for computing partial quaternion eigenpairs. To overcome this difficulty, a new inverse quaternion iteration with quaternion shift is derived for solving general right quaternion eigenvalue problem. Fixed and updated quaternion shift techniques are developed to speed up the convergence. The advantage of quaternion shifts is explained geometrically, as well as the fact that real shifts may lead to wrong results. The convergence theory is built in a different way to that in real and complex cases. Numerical experiments on simulated data and color face database demonstrate the efficiency and superiority of the newly proposed method over the state-of the-art algorithms.

简介：贾志刚 ，江苏师范大学太阳成集团tyc539，教授、硕士生导师。2009年毕业于华东师范大学数学系，获理学博士学位；2021年入选“闽江学者”讲座教授；2022年在第九届世界华人数学家大会上作45分钟邀请报告。主要研究方向为数值代数与图像处理，至今已在IEEE Trans. Image Process.，SIAM J. Matrix Anal. Appl., SIAM J. Sci. Comput., SIAM J. Imaging Sci. 等期刊上发表学术论文40余篇，在科学出版社出版专著和译著各1部，主持国家自然科学基金项目3项、省高校自然科学研究重大项目1项，参加国家自然科学基金重大项目1项。曾先后到英国曼彻斯特大学、香港浸会大学、澳门大学等高校数学系进行学术访问。

邀请人：李寒宇

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