154.com皇冠学术报告

Computational Methods for Determining C-Eigenpairs and Time-Varying H- and Z-Eigenpairs: Analysis and Numerical Examples

莫长鑫

（重庆师范大学）

报告时间：2023年6月12日下午 16:00-17:00

报告地点：沙河校区E404

报告摘要：This presentation elucidates computational methodologies for determining the C-eigenvalues and associated C-eigenvectors, as well as the time-varying eigenpairs (specifically the H- and Z-eigenpairs), of a time-invariant piezoelectric-type tensor and time-varying symmetric tensors, respectively. The computation of C-eigenvalues involves employing a conversion technique to transform it into a Z-eigenpair solving problem. Additionally, for addressing the challenge of time-varying tensor eigenpairs, a dynamic method is proposed. Theoretical analysis confirms the feasibility of these methods, and the proposed algorithm's effectiveness is substantiated through examination of multiple numerical examples.

报告人简介：莫长鑫，重庆师范大学154.com皇冠讲师，硕士生导师. 2021年博士毕业于复旦大学，2018-2019年曾以访问学者身份赴加拿大McMaster University进行短期学术交流，主要从事张量理论与计算及神经网络计算与应用方面的工作，相关论文发表在Neurocomputing, Numerical Algorithms, Numer. Math-Theory Me., J. Comput. Appl. Math., Appl. Math. Comput., Neural. Ccompot. Appl.等国际刊物上. 主持国家自然科学基金青年基金项目，重庆市自然科学基金面上项目及重庆市教委科学技术研究计划青年项目各一项，主研重庆市科委与教委研究重点项目各一项.

邀请人：谢家新