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Pseudospectrum
Known as:
Spectrum (disambiguation)
In mathematics, the pseudospectrum of an operator is a set containing the spectrum of the operator and the numbers that are "almost" eigenvalues…
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Related topics
Related topics
2 relations
Eigenvalue algorithm
Broader (1)
Numerical linear algebra
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2013
Highly Cited
2013
Modulational Instability in the Whitham Equation for Water Waves
V. M. Hur
,
Mathew A. Johnson
2013
Corpus ID: 118406246
We show that periodic traveling waves with sufficiently small amplitudes of the Whitham equation, which incorporates the…
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Highly Cited
2007
Highly Cited
2007
Stability and Stabilization of Time-Delay Systems (Advances in Design & Control) (Advances in Design and Control)
W. Michiels
,
S. Niculescu
2007
Corpus ID: 61694207
Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics…
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2007
2007
Error Bounds for Approximate Eigenvalues of Periodic-Coefficient Linear Delay Differential Equations
E. Bueler
SIAM Journal on Numerical Analysis
2007
Corpus ID: 9657738
We describe a new Chebyshev spectral collocation method for systems of variable-coefficient linear delay differential equations…
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2006
2006
Instabilité spectrale semiclassique pour des opérateurs non-autoadjoints I: un modèle
Mildred Hager
2006
Corpus ID: 30125901
Dans ce travail, nous considerons un operateur differentiel simple ainsi que des perturbations. Alors que le spectre de l…
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Highly Cited
2004
Highly Cited
2004
Pseudospectra of semiclassical (pseudo‐) differential operators
N. Dencker
,
J. Sjöstrand
,
M. Zworski
2004
Corpus ID: 18272091
The pseudo-spectra (or spectral instability) of non-selfadjoint operators is a topic of current interest in applied mathematics…
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Highly Cited
2001
Highly Cited
2001
Large-Scale Computation of Pseudospectra Using ARPACK and Eigs
Thomas G. Wright
,
L. Trefethen
SIAM Journal on Scientific Computing
2001
Corpus ID: 14310239
ARPACK and its {\sc Matlab} counterpart, {\tt eigs}, are software packages that calculate some eigenvalues of a large…
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Highly Cited
2000
Highly Cited
2000
A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra
N. Higham
,
F. Tisseur
SIAM Journal on Matrix Analysis and Applications
2000
Corpus ID: 14928150
The matrix 1-norm estimation algorithm used in LAPACK and various other software libraries and packages has proved to be a…
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1997
1997
Spectral Perturbation Bounds for Positive Definite Matrices
R. Mathias
SIAM Journal on Matrix Analysis and Applications
1997
Corpus ID: 16072821
Let H and H + $\Delta$ H be positive definite matrices. It was shown by Barlow and Demmel and Demmel and Veselic that if one…
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Highly Cited
1996
Highly Cited
1996
Calculation of Pseudospectra by the Arnoldi Iteration
K. Toh
,
L. Trefethen
SIAM Journal on Scientific Computing
1996
Corpus ID: 14395997
The Arnoldi iteration, usually viewed as a method for calculating eigenvalues, can also be used to estimate pseudospectra. This…
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Highly Cited
1996
Highly Cited
1996
Lectures on finite precision computations
F. Chaitin-Chatelin
,
V. Frayssé
Software, environments, tools
1996
Corpus ID: 6432518
Foreword Iain S. Duff Preface General Presentation Notations. Part I. Computability in Finite Precision: Well-Posed Problems…
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