# MATH Seminar

Title: Rayleigh Quotient Optimizations and Eigenvalue Problems
Seminar: Numerical Analysis and Scientific Computing
Speaker: Zhaojun Bai of UC Davis
Contact: Yuanzhe Xi, yxi26@emory.edu
Date: 2020-11-13 at 2:40PM
Venue: https://emory.zoom.us/j/95900585494
Abstract:
Many computational science and data analysis techniques lead to optimizing Rayleigh quotient (RQ) and RQ-type objective functions, such as computing excitation states (energies) of electronic structures, robust classification to handle uncertainty and constrained data clustering to incorporate domain knowledge. We will discuss emerging RQ optimization problems, variational principles, and reformulations to algebraic linear and nonlinear eigenvalue problems. We will show how to exploit underlying properties of these eigenvalue problems for designing fast eigensolvers, and illustrate the efficacy of these solvers in applications.