Time-varying Generalized Tensor Eigen-analysis via Dynamic Methods

：Prof. Wei Yimin
：2020-10-26 09:00
：数理大楼6楼天元会议室 (线下)

Speaker：Prof. Wei Yimin

         复旦大学

Title: Time-varying Generalized Tensor Eigen-analysis via Dynamic Methods

Time：09:00, 26 Oct., 2020 

Location：数理大楼6楼天元会议室 (线下) 

Abstract:

Eigenanalysis of matrices with parameters has a long history. When the parameter is time, or the matrix is time-dependent, the Zhang neural networks for the time-varying matrix problem have been developed in recent years. Motivated by tensor generalized eigenvalues and the Zhang dynamics method, we investigate the time-varying eigenpair of symmetric tensors. A continuous Zhang dynamics model is given to compute the tensor eigenpairs, such as the H- and Z-eigenpairs. In order to accelerate the convergence, a modified Zhang dynamics model is also presented. Moreover, the generalized tensor/matrix eigenpairs could also be computed by the two proposed models. Theoretical analysis of the convergence and robustness are provided. We also test some numerical examples which illustrate that the two proposed models are effective.

Speaker Introduction：

魏益民教授，复旦大学教授、博士生导师，国家教育部“非线性数学模型与方法”重点实验室和和上海市“现代应用数学“重点实验室的研究人员。1997年毕业于复旦大学数学研究所，获理学博士学位。主要矩阵计算的理论和应用研究，至今已在SIAM J. Matrix Anal. Appl.、SIAM J. Numer. Anal.、SIAM J. Sci. Comput.、J. Sci. Comput.等国际重要学术期刊发表论文200余篇，出版多部专著和教材，曾主持多项国家自然科学基金项目、博士点基金项目和973子课题等项目。曾获得上海市高校优秀青年教师和上海市“曙光”学者的称号,获得上海市自然科学三等奖。现担任国际学术期刊《Comput. Appl. Math.》和《J. Appl. Math. Comput.》的编委。

 

联系人：白正简