Seminar | Clustering of Eigenvalues within the Complex Plane (October 2024)

Department of Mathematics and Statistics Seminar

Title: Clustering of Eigenvalues within the Complex Plane

Abstract: Eigenvalues of matrices form a fundamental topic that we cover in the undergraduate curriculum, as they have a wide range of applicability in all fields of science and engineering. Developing computational algorithms and theoretical apparatus that determine eigenvalues and their clustering within the complex plane is an old subject that keeps reviving due to the significant applications of eigenvalues. For example, the QR factorization, the Routh-Hurwitz and the Jury’s algorithms are taught in mathematics and control theory at the undergraduate level.

In this seminar, we present a novel algorithm recently developed by the speaker and his collaborators. We show its advantages over other algorithms. Students are encouraged to attend, as most of the seminar will be presented at the introductory level.

About the speaker
Dr. Zyiad Sharawi, American University of Sharjah