Effective Spring 2014, I have moved to the Mathematics Department at Virginia Tech.
Research Interests 
 Krylov subspace methods for linear systems and eigenvalue problems;
 Nonnormal operators and spectral perturbation theory;
See the Pseudospectra Gateway and the EigTool package
 Toeplitz matrices, random matrices, damped wave operators

Teaching 

Ph.D. Students, past and present 

Book 
 Slides 

Papers and technical reports

 "Spectral properties of Schrödinger operators arising in the study of quasicrystals"
D. Damanik, M. Embree, A. Gorodetski
Rice University
CAAM Department Technical Report TR1221 (October 2012)
 "Ritz value localization for nonHermitian matrices"
R. Carden and M. Embree
SIAM J. Matrix Anal. Appl.
33 (2012) 13201338. (Copyright SIAM, 2012)
 "Shortterm recurrence Krylov subspace methods for nearly Hermitian matrices"
M. Embree , J. A. Sifuentes, K. M. Soodhalter, D. B. Szyld, and F. Xue
SIAM J. Matrix Anal. Appl.
33 (2012) 480500. (Copyright SIAM, 2012)
 "The stability of GMRES convergence, with application to approximate deflation preconditioning"
J. A. Sifuentes, M. Embree, and R. B. Morgan
Rice University
CAAM Department Technical Report TR1113 (revised January 2013)
 "Reconstructing an even damping from a single spectrum"
S. J. Cox and M. Embree
Inverse Problems
27 (2011) 035012 (18pp).
 "One can hear the composition of a string: experiments with an inverse eigenvalue problem"
S. J. Cox, M. Embree, and J. Hokanson
SIAM Review
54 (2012) 157178. (Copyright SIAM, 2012)
Additional data sets are available at
www.caam.rice.edu/~beads.
 "Dynamical systems and nonHermitian iterative eigensolvers"
M. Embree and R. B. Lehoucq
SIAM J. Num. Anal.
47 (2009) 14451473. (Copyright SIAM, 2009)
 "The fractal dimension of the spectrum of the Fibonacci Hamiltonian"
D. Damanik, M. Embree, A. Gorodetski, and S. Tcheremchantsev
Commun. Math. Phys. 280 (2008) 499516.
 "The Arnoldi eigenvalue iteration with exact shifts can fail"
SIAM J. Matrix Anal. Appl.
31 (2009) 110. (Copyright SIAM, 2009)
 "Parallel solution of largescale free surface viscoelastic flows
via sparse approximate inverse preconditioning"
Z. Castillo, X. Xie, D. C. Sorensen, M. Embree, and M. Pasquali
J. NonNewtonian Fluid Mech. 157 (2009) 4454.
 "The role of the penalty in the local discontinuous Galerkin method for
Maxwell's eigenvalue problem"
T. Warburton and Mark Embree
Comp. Methods Appl. Mech. Eng. 195 (2006) 32053323.
 "Convergence of polynomial restart Krylov methods for eigenvalue computation
Christopher A. Beattie, Mark Embree, D. C. Sorensen
SIAM Review
47 (2005) 492515. (Copyright SIAM, 2005)
 "Convergence of restarted Krylov subspaces to invariant subspaces"
Christopher Beattie, Mark Embree, John Rossi
SIAM J. Matrix Anal. Appl.
25 (2004) 10741109. (Copyright SIAM, 2004)
 "The tortoise and the hare restart GMRES"
SIAM Review
45 (2003) 259266. (Copyright SIAM, 2003)
 "The spectra of large Toeplitz band matrices with a randomly perturbed entry"
Albrecht Böttcher, Mark Embree, V. I. Sokolov
Math. Comp. 72 (2003), 13291348.
 "On large Toeplitz band matrices with an uncertain block"
Albrecht Böttcher, Mark Embree, V. I. Sokolov
Linear Algebra Appl. 366 (2003), 8797.
 "Spectral approximation of banded Laurent matrices with localized random perturbations"
Albrecht Böttcher, Mark Embree, Marko Lindner
Integral Equations Operator Theory 42 (2002), 142165.
(Copyright Birkhäuser, 2002)
gzipped postscript (833 KBytes),
pdf (1.0 MBytes).
 "Piecewise continuous Toeplitz matrices and operators:
slow approach to infinity
Albrecht Böttcher, Mark Embree, Lloyd N. Trefethen
SIAM J. Matrix Anal. Appl.
24 (2002) 484489. (Copyright SIAM, 2002)
 "Infinite Toeplitz and Laurent matrices with localized impurities"
Albrecht Böttcher, Mark Embree, V. I. Sokolov
Linear Algebra Appl. 343344 (2002), 101118.
 "Generalizing eigenvalue theorems to pseudospectra theorems"
Mark Embree and Lloyd N. Trefethen
SIAM J. Sci. Comp.
23 (2001) 583590. (Copyright SIAM, 2001)
 "Spectra, pseudospectra, and localization for random bidiagonal matrices"
Lloyd N. Trefethen, Marco Contedini, Mark Embree
Comm.
Pure Applied Math. 54 (2001) 595623.
 "How descriptive are GMRES convergence bounds?"
Oxford University Computing Laboratory Numerical Analysis Report 99/08, June 1999.
 "Green's functions for multiply connected domains via conformal mapping"
Mark Embree and Lloyd N. Trefethen
SIAM Review
41 (1999) 745761.
 "Growth and decay of random Fibonacci sequences"
Mark Embree and Lloyd N. Trefethen
Proc. Roy. Soc. London Series A
455 (1999) 24712485.

