Mark Embree

Professor of Mathematics
Virginia Tech
Professor, Department of Mathematics
Luther and Alice Hamlett Professor, College of Science
Leader, Computational Modeling and Data Analytics (CMDA) program

Office:   414 Data & Decision Sciences (VT maps)
Mail:  225 Stanger Street 0123, Virginia Tech, Blacksburg, Virginia 24061

research interests

Virginia Tech's Computational Modeling and Data Analytics (CMDA) major

In Spring 2015, Virginia Tech launched this new undergraduate major, a collaboration between the departments of Computer Science, Mathematics, and Statistics. Faculty have developed ten new courses for the major. Other departments have designed specialized options for students seeking to exercise CMDA skills in particular applications (biology; cryptography and cybersecurity; economics; geosciences; physics). The first class graduated in May 2017. As of September 2023, CMDA has graduated over 700 alumni (primary and secondary majors) and has roughly 550 current students pursuing the major.

Spring 2024

slides for lectures / short courses

Stability and Transient Dynamics for Linearized Reduced Order Models
Nonlinear Model Reduction for Control conference, May 2023.

Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theory Perspective
E-NLA Online Seminar Series on Numerical Linear Algebra (updated slides), June 2020.

Convergence Theory for Iterative Eigensolvers
Simons Institute workshop on Randomized Numerical Linear Algebra and Applications, September 2018, UC Berkeley.

Nonlinear Eigenvalue Problems: Interpolatory Algorithms and Transient Dyanmics
SIAM Conference on Applied Linear Algebra, May 2018, Hong Kong Baptist University
Version with pseudospectra movie is available here.

CUR Matrix Factorizations: Algorithms, Analysis, Applications

Pseudospectra and Nonnormal Dynamical Systems (4th Elgersburg School, March 2012)

relics from past classes

ph.d. students, past and present

Spectra and Pseudospectra

  Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators
Lloyd N. Trefethen and Mark Embree
Princeton University Press, 2005.
Princeton;; Barnes & Noble; AddAll search.


EigTool, Tom Wright's excellent MATLAB code for computing pseudospectra, can be downloaded via GitHub.

Papers, technical reports, preprints, etc.