Halmos Mathematics Colloquium Series Hosts Seminar on Eigenvalue Inequalities of Matrix Product

On Friday, September 20, Halmos faculty member Fuzhen Zhang, Ph.D. will present a seminar entitled, “Eigenvalue Inequalities of Matrix Product”. A joint work with Dr. Bo-Yan Xi, this talk will discuss how Given two n-by-n complex matrices, one is Hermitian and one is positive semidefinite, all of the n eigenvalues (counting multiplicities) of the product of the given matrices are necessarily real. Selecting any k of the n eigenvalues, we present lower and upper bounds for the sum of these k selected eigenvalues. Our results extend and complement the existing ones.

Halmos College of Natural Sciences and Oceanography department of mathematics hosts the mathematics colloquium series in Parker Building, Room 301. For more information about the math colloquium series, please contact mathematics faculty member Jing Chen, Ph.D. (jchen1@nova.edu) or Evan Haskell (haskell@nova.edu).