Mark Embree

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

Office:   575 McBryde Hall (VT map)
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; physics). The first class graduated in May 2017. As of January 2021, CMDA has graduated over 300 alumni and has over 550 current students pursuing the major.

Fall 2021 teaching

slides for lectures / short courses

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.
Section 1 in PDF from Princeton University Press
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.

Click on a linked title for further details.