Mark Embree

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All published works

Action	Title	Year	Authors
+ PDF Chat	Optimal Algorithms for Quantifying Spectral Size with Applications to Quasicrystals	2024	Matthew J. Colbrook Mark Embree Jake Fillman
+ PDF Chat	On the balanced truncation error bound and sign parameters from arrowhead realizations	2024	Sean Reiter Tobias Damm Mark Embree Serkan Gugercin
+ PDF Chat	Gap labels for zeros of the partition function of the 1D Ising model via the Schwartzman homomorphism	2023	David Damanik Mark Embree Jake Fillman
+ PDF Chat	Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann–Beenker Tilings	2023	David Damanik Mark Embree Jake Fillman May Mei
+ PDF Chat	Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach	2023	Michael Brennan Mark Embree Serkan Gugercin
+ PDF Chat	Analysis of GMRES for Low‐Rank and Small‐Norm Perturbations of the Identity Matrix	2023	Arielle Carr Eric de Sturler Mark Embree
+	Extending Elman's Bound for GMRES	2023	Mark Embree
+ PDF Chat	Mathematics of magic angles in a model of twisted bilayer graphene	2022	Simon Becker Mark Embree Jens Wittsten Maciej Zworski
+	How Descriptive are GMRES Convergence Bounds?	2022	Mark Embree
+	Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann-Beenker Tilings	2022	David Damanik Mark Embree Jake Fillman May Lei Mei
+	Analysis of GMRES for Low-Rank and Small-Norm Perturbations of the Identity Matrix	2022	Arielle Carr Eric de Sturler Mark Embree
+	Gap Labels for Zeros of the Partition Function of the 1D Ising Model via the Schwartzman Homomorphism	2022	David Damanik Mark Embree Jake Fillman
+ PDF Chat	Spectral characterization of magic angles in twisted bilayer graphene	2021	Simon Becker Mark Embree Jens Wittsten Maciej Zworski
+	Polynomial Preconditioned Arnoldi with Stability Control	2021	Mark Embree Jennifer Loe Ronald B. Morgan
+	The balanced truncation bound is tight for SISO systems when the truncated system is state-space symmetric.	2020	Sean Reiter Mark Embree Serkan Gugercin
+	Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach	2020	Michael Brennan Mark Embree Serkan Gugercin
+	On the balanced truncation error bound and sign parameters from arrowhead realizations	2020	Sean Reiter Mark Embree Serkan Gugercin
+ PDF Chat	Spectra of discrete two-dimensional periodic Schrödinger operators with small potentials	2019	Mark Embree Jake Fillman
+	Pseudospectra of Loewner Matrix Pencils	2019	Mark Embree Antonio C. Ionita
+ PDF Chat	Unstable modes in projection-based reduced-order models: How many can there be, and what do they tell you?	2018	Mark Embree
+	Polynomial Preconditioned Arnoldi	2018	Mark Embree Jennifer Loe Ronald B. Morgan
+	Unstable modes in projection-based reduced-order models: How many can there be, and what do they tell you?	2018	Mark Embree
+	Unstable modes in projection-based reduced-order models: How many can there be, and what do they tell you?	2017	Mark Embree
+	Spectra of Discrete Two-Dimensional Periodic Schr\"odinger Operators with Small Potentials	2017	Mark Embree Jake Fillman
+ PDF Chat	Weighted Inner Products for GMRES and GMRES-DR	2017	Mark Embree Ronald B. Morgan Huy V. Nguyen
+ PDF Chat	Pseudospectra of Matrix Pencils for Transient Analysis of Differential-Algebraic Equations	2017	Mark Embree Blake Keeler
+	Spectra of Discrete Two-Dimensional Periodic Schrödinger Operators with Small Potentials	2017	Mark Embree Jake Fillman
+	Weighted Inner Products for GMRES and Arnoldi Iterations	2016	Mark Embree Ronald B. Morgan Huy V. Nguyen
+	Weighted Inner Products for GMRES and GMRES-DR	2016	Mark Embree Ronald B. Morgan Huy V. Nguyen
+	Pseudospectra of Matrix Pencils for Transient Analysis of Differential-Algebraic Equations	2016	Mark Embree Blake Keeler
+ PDF Chat	A DEIM Induced CUR Factorization	2016	D. C. Sorensen Mark Embree
+	Pseudospectra of Matrix Pencils for Transient Analysis of Differential-Algebraic Equations	2016	Mark Embree Blake Keeler
+	Weighted Inner Products for GMRES and GMRES-DR	2016	Mark Embree Ronald B. Morgan Huy Nguyen
+ PDF Chat	A DEIM Induced CUR Factorization	2015	D. C. Sorensen Mark Embree
+ PDF Chat	Spectral Approximation for Quasiperiodic Jacobi Operators	2015	Charles Puelz Mark Embree Jake Fillman
+ PDF Chat	Spectral Properties of Schrödinger Operators Arising in the Study of Quasicrystals	2015	David Damanik Mark Embree Anton Gorodetski
+ PDF Chat	Fast Singular Value Decay for Lyapunov Solutions with Nonnormal Coefficients	2015	Jonathan Baker Mark Embree John Sabino
+	Fast singular value decay for Lyapunov solutions with nonnormal coefficients	2014	Jonathan Baker Mark Embree John Sabino
+	Spectral Approximation for Quasiperiodic Jacobi Operators	2014	Charles Puelz Mark Embree Jake Fillman
+	Fast singular value decay for Lyapunov solutions with nonnormal coefficients	2014	Jonathan B. Baker Mark Embree John Sabino
+	Spectral Approximation for Quasiperiodic Jacobi Operators	2014	Charles Puelz Mark Embree Jake Fillman
+	A mathematical biography of Danny C. Sorensen	2012	Peter Benner Mark Embree Richard B. Lehoucq C. T. Kelley
+ PDF Chat	Ritz Value Localization for Non-Hermitian Matrices	2012	Russell Carden Mark Embree
+	Spectral Properties of Schrödinger Operators Arising in the Study of Quasicrystals	2012	David Damanik Mark Embree Anton Gorodetski
+ PDF Chat	Reconstructing an even damping from a single spectrum	2011	Steven Cox Mark Embree
+	Inverse Problems for end damped strings	2009	Steven J. Cox Mark Embree
+	Dynamical Systems and Non-Hermitian Iterative Eigensolvers	2009	Mark Embree Richard B. Lehoucq
+ PDF Chat	The Arnoldi Eigenvalue Iteration with Exact Shifts Can Fail	2009	Mark Embree
+ PDF Chat	The Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian	2008	David Damanik Mark Embree Anton Gorodetski Serguei Tcheremchantsev
+	Dynamical systems and Iterative Eigensolvers.	2007	Richard B. Lehoucq Mark Embree
+	Dynamical systems and Iterative Eigensolvers.	2007	Richard B. Lehoucq Mark Embree
+	VIII. Random Matrices	2005	Lloyd N. Trefethen Mark Embree
+	VII. Numerical Solution of Differential Equations	2005	Lloyd N. Trefethen Mark Embree
+	X. Further Mathematical Issues	2005	Lloyd N. Trefethen Mark Embree
+	II. Toeplitz Matrices	2005	Lloyd N. Trefethen Mark Embree
+ PDF Chat	On large Toeplitz band matrices with an uncertain block	2003	Albrecht Böttcher Mark Embree V. I. Sokolov
+ PDF Chat	The spectra of large Toeplitz band matrices with a randomly perturbed entry	2003	Albrecht Böttcher Mark Embree V. I. Sokolov
+ PDF Chat	The Tortoise and the Hare Restart GMRES	2003	Mark Embree
+ PDF Chat	Spectral approximation of banded Laurent matrices with localized random perturbations	2002	A. B�ttcher Mark Embree Marko Lindner
+ PDF Chat	Infinite Toeplitz and Laurent matrices with localized impurities	2002	Albrecht Böttcher Mark Embree V. I. Sokolov
+ PDF Chat	Piecewise Continuous Toeplitz Matrices and Operators: Slow Approach to Infinity	2002	Albrecht Böttcher Mark Embree Lloyd N. Trefethen
+ PDF Chat	Spectra, pseudospectra, and localization for random bidiagonal matrices	2001	Lloyd N. Trefethen Marco Contedini Mark Embree
+ PDF Chat	Spectra, pseudospectra, and localization for random bidiagonal matrices	2001	Lloyd N. Trefethen Marco Contedini Mark Embree
+ PDF Chat	Generalizing Eigenvalue Theorems to Pseudospectra Theorems	2001	Mark Embree Lloyd N. Trefethen
+	Spectra, Pseudospectra, and Localization for Random Bidiagonal Matrices	2000	Lloyd N. Trefethen Marco Contedini Mark Embree
+	Growth and decay of random Fibonacci sequences	1999	Mark Embree Lloyd N. Trefethen
+ PDF Chat	Green's Functions for Multiply Connected Domains via Conformal Mapping	1999	Mark Embree Lloyd N. Trefethen

Common Coauthors

Coauthor	Papers Together
Lloyd N. Trefethen	11
Jake Fillman	11
David Damanik	7
Ronald B. Morgan	6
Serkan Gugercin	5
Richard B. Lehoucq	4
Albrecht Böttcher	4
Charles Puelz	3
Marco Contedini	3
Blake Keeler	3
Sean Reiter	3
Huy V. Nguyen	3
V. I. Sokolov	3
Anton Gorodetski	3
Eric de Sturler	2
Jonathan Baker	2
Michael Brennan	2
Simon Becker	2
John Sabino	2
Arielle Carr	2
Jennifer Loe	2
Maciej Zworski	2
Jens Wittsten	2
D. C. Sorensen	2
John Sabino	1
Antonio C. Ionita	1
Russell Carden	1
Marko Lindner	1
May Lei Mei	1
Matthew J. Colbrook	1
Tobias Damm	1
Steven J. Cox	1
C. T. Kelley	1
Huy Nguyen	1
May Mei	1
Steven Cox	1
A. B�ttcher	1
Serguei Tcheremchantsev	1
Peter Benner	1
Jonathan B. Baker	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	9
+ PDF Chat	GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems	1986	Yousef Saad Martin H. Schultz	7
+	Eigenvalues and pseudo-eigenvalues of Toeplitz matrices	1992	Lothar Reichel Lloyd N. Trefethen	7
+ PDF Chat	Pseudospectra of Linear Operators	1997	Lloyd N. Trefethen	7
+	The Symmetric Eigenvalue Problem	1998	Beresford Ν. Parlett	7
+ PDF Chat	Computation of pseudospectra	1999	Lloyd N. Trefethen	6
+ PDF Chat	Non-Hermitian localization and delocalization	1999	Joshua Feinberg A. Zee	6
+ PDF Chat	Vortex pinning and non-Hermitian quantum mechanics	1997	Naomichi Hatano David R. Nelson	6
+ PDF Chat	Pseudospectra and Singular Values of Large Convolution Operators	1994	Albrecht Böttcher	6
+	On Szegö’s eingenvalue distribution theorem and non-Hermitian kernels	1975	H. J. Landau	6
+ PDF Chat	Spectra, pseudospectra, and localization for random bidiagonal matrices	2001	Lloyd N. Trefethen Marco Contedini Mark Embree	5
+ PDF Chat	Spectral properties of random non-self-adjoint matrices and operators	2001	E. B. Davies	5
+ PDF Chat	Non-Hermitian localization and population biology	1998	David R. Nelson Nadav M. Shnerb	5
+ PDF Chat	Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems	2000	Kesheng Wu Horst D. Simon	4
+ PDF Chat	Uniform Spectral Properties of One-Dimensional Quasicrystals, I. Absence of Eigenvalues	1999	David Damanik Daniel Lenz	4
+	Solution of large-scale Lyapunov equations via the block modified Smith method	2007	John Sabino	4
+	Real and Complex Stability Radii: A Survey	1990	D. Hinrichsen A. J. Pritchard	4
+ PDF Chat	On restarting the Arnoldi method for large nonsymmetric eigenvalue problems	1996	Ronald B. Morgan	4
+ PDF Chat	Jacobi Operators and Completely Integrable Nonlinear Lattices	1999	Gerald Teschl	4
+ PDF Chat	Electronic energy spectra of square and cubic Fibonacci quasicrystals	2008	Shahar Even-Dar Mandel Ron Lifshitz	4
+ PDF Chat	Ritz Value Localization for Non-Hermitian Matrices	2012	Russell Carden Mark Embree	4
+	A harmonic restarted Arnoldi algorithm for calculating eigenvalues and determining multiplicity	2005	Ronald B. Morgan Min Zeng	4
+ PDF Chat	The Arnoldi Eigenvalue Iteration with Exact Shifts Can Fail	2009	Mark Embree	4
+ PDF Chat	Singular continuous spectrum for palindromic Schrödinger operators	1995	At L. Hof Oliver Knill Barry Simon	4
+	On the convergence behavior of the restarted GMRES algorithm for solving nonsymmetric linear systems	1994	Wayne Joubert	4
+	Localization Problem in One Dimension: Mapping and Escape	1983	Mahito Kohmoto Leo P. Kadanoff Chao Tang	4
+ PDF Chat	Spectral properties of one dimensional quasi-crystals	1989	Jean Bellissard Bruno Iochum Elisabetta Scoppola D. Testard	4
+ PDF Chat	Spectral analysis of tridiagonal Fibonacci Hamiltonians	2013	William Yessen	3
+ PDF Chat	Spectral Properties of Schrödinger Operators Arising in the Study of Quasicrystals	2015	David Damanik Mark Embree Anton Gorodetski	3
+	Combination Preconditioning and the Bramble–Pasciak$^{+}$ Preconditioner	2008	Martin Stoll Andy Wathen	3
+ PDF Chat	On nonsymmetric saddle point matrices that allow conjugate gradient iterations	2008	Jörg Liesen Beresford Ν. Parlett	3
+	A Krylov--Schur Algorithm for Large Eigenproblems	2002	G. W. Stewart	3
+	Introduction to the theory of linear nonselfadjoint operators	1969	M. Г. Крейн Israel Gohberg	3
+ PDF Chat	Nonlinear Model Reduction via Discrete Empirical Interpolation	2010	Saifon Chaturantabut Danny C. Sorensen	3
+	Restarting the Nonsymmetric Lanczos Algorithm for Eigenvalues and Linear Equations Including Multiple Right-Hand Sides	2011	Ronald B. Morgan Dywayne A. Nicely	3
+	On the topology of arithmetic sums of regular Cantor sets	2000	Carlos Gustavo Moreira Eduardo M Muñoz Morales Juan Rivera‐Letelier	3
+	Spectral Properties of Schrödinger’s Operator with a Thue-Morse Potential	1990	Jean Bellissard	3
+	Adaptively Preconditioned GMRES Algorithms	1998	James Baglama Daniela Calvetti Gene H. Golub Lothar Reichel	3
+	Necessary and Sufficient Conditions for the Existence of a Conjugate Gradient Method	1984	Vance Faber Thomas A. Manteuffel	3
+ PDF Chat	The Faber–Manteuffel Theorem for Linear Operators	2008	Vance Faber Jörg Liesen Petr Tichý	3
+ PDF Chat	The Tortoise and the Hare Restart GMRES	2003	Mark Embree	3
+ PDF Chat	Localization Transitions in Non-Hermitian Quantum Mechanics	1996	Naomichi Hatano David R. Nelson	3
+ PDF Chat	Infinite Toeplitz and Laurent matrices with localized impurities	2002	Albrecht Böttcher Mark Embree V. I. Sokolov	3
+ PDF Chat	Distribution of Eigenvalues in Non-Hermitian Anderson Models	1998	Ilya Goldsheid Boris A. Khoruzhenko	3
+	None	2000	David Damanik	3
+	Any Nonincreasing Convergence Curve is Possible for GMRES	1996	Anne Greenbaum Vlastimil Pták Zdeněk Strakoš	3
+	Minimal Residual Method Stronger than Polynomial Preconditioning	1996	Vance Faber Wayne Joubert Emanuel Knill	3
+ PDF Chat	Uniform Singular Continuous Spectrum for the Period Doubling Hamiltonian	2001	David Damanik	3
+ PDF Chat	Pseudozeros of polynomials and pseudospectra of companion matrices	1994	Kim-Chuan Toh Lloyd N. Trefethen	3
+	Numerical stability of orthogonalization methods with a non-standard inner product	2012	Miroslav Rozložńık Miroslav Tůma Alicja Smoktunowicz Jiří Kopal	3