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Articles by Mark Embree

Optimal Algorithms for Quantifying Spectral Size with Applications to Quasicrystals
29 July 2024 by Matthew Colbrook and others
Spectral Theory, Numerical Analysis
On the balanced truncation error bound and sign parameters from arrowhead realizations
17 January 2024 by Sean Reiter and others at LogoVirginia Tech
Systems and Control, Dynamical Systems
Extending Elman's Bound for GMRES
22 December 2023 by Mark Embree
Numerical Analysis
Gap Labels for Zeros of the Partition Function of the 1D Ising Model via the Schwartzman Homomorphism
3 November 2022 by David Damanik and others at LogoRice University
Spectral Theory
Analysis of GMRES for Low-Rank and Small-Norm Perturbations of the Identity Matrix
21 October 2022 by Arielle Carr and others
Numerical Analysis
Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann-Beenker Tilings
3 September 2022 by David Damanik and others at LogoRice University
Spectral Theory, Numerical Analysis
How Descriptive are GMRES Convergence Bounds?
2 September 2022 by Mark Embree
Numerical Analysis
Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach
29 December 2020 by Michael Brennan and others
Numerical Analysis
Mathematics of magic angles in a model of twisted bilayer graphene
13 October 2020 by Simon Becker and others
Mathematical Physics, Materials Science
Spectral characterization of magic angles in twisted bilayer graphene
11 October 2020 by Simon Becker and others
Strongly Correlated Electrons, Mesoscale and Nanoscale Physics
Pseudospectra of Loewner Matrix Pencils
26 October 2019 by Mark Embree and A. Cosmin Ionita
Numerical Analysis, Spectral Theory
Unstable modes in projection-based reduced-order models: How many can there be, and what do they tell you?
23 November 2018 by Mark Embree
Numerical Analysis, Optimization and Control
Polynomial Preconditioned Arnoldi
21 June 2018 by Mark Embree and others
Numerical Analysis, Spectral Theory
Weighted Inner Products for GMRES and GMRES-DR
18 March 2017 by Mark Embree and others
Numerical Analysis
Spectra of Discrete Two-Dimensional Periodic Schrödinger Operators with Small Potentials
3 January 2017 by Mark Embree and Jake Fillman
Spectral Theory, Mathematical Physics
Pseudospectra of Matrix Pencils for Transient Analysis of Differential-Algebraic Equations
28 December 2016 by Mark Embree and Blake Keeler
Numerical Analysis
A DEIM Induced CUR Factorization
18 September 2015 by D. Sorensen and Mark Embree
Numerical Analysis
Fast singular value decay for Lyapunov solutions with nonnormal coefficients
30 January 2015 by Jonathan Baker and others
Numerical Analysis, Optimization and Control
Spectral Approximation for Quasiperiodic Jacobi Operators
28 December 2014 by Charles Puelz and others
Spectral Theory, Numerical Analysis
Spectral Properties of Schrödinger Operators Arising in the Study of Quasicrystals
6 May 2014 by David Damanik and others at LogoRice University
Mathematical Physics, Dynamical Systems
The Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian
2 May 2007 by David Damanik and others at LogoRice
Mathematical Physics, Spectral Theory
Spectra, Pseudospectra, and Localization for Random Bidiagonal Matrices
20 October 2000 by Lloyd Trefethen and others
Statistical Mechanics