报告题目：Eigenvalue continuity and a few issues in teaching linear algebra

报告时间：2024年6月24日（周一）16:00-17:00

报告地点：创新港校区5-3107

报告摘要: Are eigenvalues continuous functions of matrix entries? In other words, do the eigenvalues of a matrix change continuously as the matrix itself undergoes small changes? (The answer is yes or no, depending on what is meant by eigenvalue continuity). Eigenvalue continuity is a fundamental concept in linear algebra and matrix theory that provides insights into the behavior of eigenvalues under small changes to matrices, with wide-ranging implications in theory and applications. However, eigenvalue continuity has been misused or carelessly used. We discuss the continuity of eigenvalues as functions (functional continuity) as well as in the topological sense (topological continuity). This talk is also concerned with a few issues of linear algebra, both in teaching and research. These issues are usually overlooked or carelessly treated in texts or teaching.

报告人简介：张福振，美国诺瓦东南大学数学教授。研究方向是矩阵论，已发表学术论文八十余篇，著作3部。他的专著“Matrix Theory: Basic results and techniques”广为人知。