Mark Embree

Affiliations:
  • Rice University, Houston, TX, USA


According to our database1, Mark Embree authored at least 29 papers between 1997 and 2024.

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Bibliography

2024
On the balanced truncation error bound and sign parameters from arrowhead realizations.
Adv. Comput. Math., February, 2024

Optimal Algorithms for Quantifying Spectral Size with Applications to Quasicrystals.
CoRR, 2024

2023
Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach.
SIAM Rev., May, 2023

Extending Elman's Bound for GMRES.
CoRR, 2023

2022
Analysis of GMRES for Low-Rank and Small-Norm Perturbations of the Identity Matrix.
CoRR, 2022

Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann-Beenker Tilings.
CoRR, 2022

How Descriptive are GMRES Convergence Bounds?
CoRR, 2022

2021
Polynomial Preconditioned Arnoldi with Stability Control.
SIAM J. Sci. Comput., 2021

2020
The balanced truncation bound is tight for SISO systems when the truncated system is state-space symmetric.
CoRR, 2020

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

Pseudospectra of Loewner Matrix Pencils.
CoRR, 2019

2017
Weighted Inner Products for GMRES and GMRES-DR.
SIAM J. Sci. Comput., 2017

Pseudospectra of Matrix Pencils for Transient Analysis of Differential-Algebraic Equations.
SIAM J. Matrix Anal. Appl., 2017

2016
A DEIM Induced CUR Factorization.
SIAM J. Sci. Comput., 2016

2015
Fast Singular Value Decay for Lyapunov Solutions with Nonnormal Coefficients.
SIAM J. Matrix Anal. Appl., 2015

2013
GMRES Convergence for Perturbed Coefficient Matrices, with Application to Approximate Deflation Preconditioning.
SIAM J. Matrix Anal. Appl., 2013

2012
One Can Hear the Composition of a String: Experiments with an Inverse Eigenvalue Problem.
SIAM Rev., 2012

Short-Term Recurrence Krylov Subspace Methods for Nearly Hermitian Matrices.
SIAM J. Matrix Anal. Appl., 2012

Ritz Value Localization for Non-Hermitian Matrices.
SIAM J. Matrix Anal. Appl., 2012

2009
Dynamical Systems and Non-Hermitian Iterative Eigensolvers.
SIAM J. Numer. Anal., 2009

The Arnoldi Eigenvalue Iteration with Exact Shifts Can Fail.
SIAM J. Matrix Anal. Appl., 2009

2005
Convergence of Polynomial Restart Krylov Methods for Eigenvalue Computations.
SIAM Rev., 2005

2004
Convergence of Restarted Krylov Subspaces to Invariant Subspaces.
SIAM J. Matrix Anal. Appl., 2004

2003
The Tortoise and the Hare Restart GMRES.
SIAM Rev., 2003

The spectra of large Toeplitz band matrices with a randomly perturbed entry.
Math. Comput., 2003

2002
Piecewise Continuous Toeplitz Matrices and Operators: Slow Approach to Infinity.
SIAM J. Matrix Anal. Appl., 2002

2001
Generalizing Eigenvalue Theorems to Pseudospectra Theorems.
SIAM J. Sci. Comput., 2001

1999
Green's Functions for Multiply Connected Domains via Conformal Mapping.
SIAM Rev., 1999

1997
On the Scalability of Parallel Krylov Subspace Methods.
Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, 1997


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