On the Scalability of Parallel Krylov Subspace Methods. - Mark Embree; Calvin J. Ribbens (PP, 1997)

Green's Functions for Multiply Connected Domains via Conformal Mapping. - Mark Embree; Lloyd N. Trefethen (SIAM Rev., 1999)

Generalizing Eigenvalue Theorems to Pseudospectra Theorems. - Mark Embree; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2001)

Piecewise Continuous Toeplitz Matrices and Operators: Slow Approach to Infinity. - Albrecht Böttcher; Mark Embree; Lloyd N. Trefethen (SIAM J. Matrix Anal. Appl., 2002)

The spectra of large Toeplitz band matrices with a randomly perturbed entry. - Albrecht Böttcher; Mark Embree; V. I. Sokolov (Math. Comput., 2003)

The Tortoise and the Hare Restart GMRES. - Mark Embree (SIAM Rev., 2003)

Convergence of Restarted Krylov Subspaces to Invariant Subspaces. - Christopher Beattie; Mark Embree; John Rossi (SIAM J. Matrix Anal. Appl., 2004)

Convergence of Polynomial Restart Krylov Methods for Eigenvalue Computations. - Christopher A. Beattie; Mark Embree; Danny C. Sorensen (SIAM Rev., 2005)

The Arnoldi Eigenvalue Iteration with Exact Shifts Can Fail. - Mark Embree (SIAM J. Matrix Anal. Appl., 2009)

Dynamical Systems and Non-Hermitian Iterative Eigensolvers. - Mark Embree; Richard B. Lehoucq (SIAM J. Numer. Anal., 2009)

Ritz Value Localization for Non-Hermitian Matrices. - Russell L. Carden; Mark Embree (SIAM J. Matrix Anal. Appl., 2012)

Short-Term Recurrence Krylov Subspace Methods for Nearly Hermitian Matrices. - Mark Embree; Josef A. Sifuentes; Kirk M. Soodhalter; Daniel B. Szyld; Fei Xue (SIAM J. Matrix Anal. Appl., 2012)

One Can Hear the Composition of a String: Experiments with an Inverse Eigenvalue Problem. - Steven J. Cox; Mark Embree; Jeffrey M. Hokanson (SIAM Rev., 2012)

GMRES Convergence for Perturbed Coefficient Matrices, with Application to Approximate Deflation Preconditioning. - Josef A. Sifuentes; Mark Embree; Ronald B. Morgan (SIAM J. Matrix Anal. Appl., 2013)

Fast Singular Value Decay for Lyapunov Solutions with Nonnormal Coefficients. - Jonathan Baker; Mark Embree; John Sabino (SIAM J. Matrix Anal. Appl., 2015)

A DEIM Induced CUR Factorization. - Danny C. Sorensen; Mark Embree (SIAM J. Sci. Comput., 2016)

Pseudospectra of Matrix Pencils for Transient Analysis of Differential-Algebraic Equations. - Mark Embree; Blake Keeler (SIAM J. Matrix Anal. Appl., 2017)

Weighted Inner Products for GMRES and GMRES-DR. - Mark Embree; Ronald B. Morgan; Huy V. Nguyen (SIAM J. Sci. Comput., 2017)

Pseudospectra of Loewner Matrix Pencils. - Mark Embree; Antonio Cosmin Ionita (CoRR, 2019)

Unstable modes in projection-based reduced-order models: How many can there be, and what do they tell you? - Mark Embree (Syst. Control. Lett., 2019)

The balanced truncation bound is tight for SISO systems when the truncated system is state-space symmetric. - Sean Reiter; Mark Embree; Serkan Gugercin (CoRR, 2020)

Polynomial Preconditioned Arnoldi with Stability Control. - Mark Embree; Jennifer A. Loe; Ronald B. Morgan (SIAM J. Sci. Comput., 2021)

How Descriptive are GMRES Convergence Bounds? - Mark Embree (CoRR, 2022)

Analysis of GMRES for Low-Rank and Small-Norm Perturbations of the Identity Matrix. - Arielle K. Carr; Eric de Sturler; Mark Embree (CoRR, 2022)

Extending Elman's Bound for GMRES. - Mark Embree (CoRR, 2023)

Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach. - Michael C. Brennan; Mark Embree; Serkan Gugercin (SIAM Rev., 2023)

Optimal Algorithms for Quantifying Spectral Size with Applications to Quasicrystals. - Matthew J. Colbrook; Mark Embree; Jake Fillman (CoRR, 2024)

On the balanced truncation error bound and sign parameters from arrowhead realizations. - Sean Reiter; Tobias Damm; Mark Embree; Serkan Gugercin (Adv. Comput. Math., 2024)

Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann-Beenker Tilings. - David Damanik; Mark Embree; Jake Fillman; May Mei (Exp. Math., 2024)

Polynomial Approximation to the Inverse of a Large Matrix. - Mark Embree; Joel A. Henningsen; Jordan Jackson; Ronald B. Morgan (CoRR, 2025)

Regularizing Ill-Posed Inverse Problems: Deblurring Barcodes. - Mark Embree (CoRR, 2025)