Lloyd N. Trefethen, Marco Contedini, Mark Embree  Home/Search
Context
Related
| comlab.ox.ac.uk/pub/Do...NA0007.ps.gz Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: web.comlab.ox.ac.uk/ou...na0007 (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: There has been much recent interest, initiated by work of the physicists Hatano and Nelson, in the eigenvalues of certain random non-hermitian periodic tridiagonal matrices and their bidiagonal limits. These eigenvalues cluster along a \bubble with wings" in the complex plane, and the corresponding eigenvectors are localized in the wings, delocalized in the bubble. Here, in addition to eigenvalues, pseudospectra are analyzed, making it possible to treat the non-periodic analogues of these... (Update)
Active bibliography (related documents): More All
9.0: Spectra, Pseudospectra, and Localization for Random.. - Trefethen, Contedini, .. (Correct)
1.7: On large Toeplitz band matrices with an uncertain block - Böttcher, Embree, Sokolov (Correct)
1.7: Wave Packet Pseudomodes of Twisted Toeplitz Matrices - Trefethen, Chapman (2002) (Correct)
Similar documents based on text: More All
0.4: Generalizing Eigenvalue Theorems to Pseudospectra Theorems - Embree, Trefethen (2001) (Correct)
0.4: Computation of Pseudospectra - Trefethen (1999) (Correct)
0.3: Green's Functions For Multiply Connected Domains Via.. - Embree, Trefethen (Correct)
BibTeX entry: (Update)
@misc{ trefethen-spectra,
author = "Lloyd N. Trefethen and Marco Contedini and Mark Embree",
title = "Spectra, Pseudospectra, and Localization for Random Bidiagonal Matrices",
url = "citeseer.ist.psu.edu/643635.html" }
Citations (may not include all citations):584 Perturbation Theory for Linear Operators (context) - Kato - 1976
154 Probability and Random Processes (context) - Grimmett, Stirzaker - 1992
117 Applied Numerical Linear Algebra (context) - Demmel - 1997
98 Aspects of Multivariate Statistical Theory (context) - Muirhead - 1982
75 Introduction to the Theory of Linear Nonselfadjoint Operator.. (context) - Goberg, Krein - 1969
59 Methods of Modern Mathematical Physics I: Functional Analysi.. (context) - Reed, Simon - 1980
58 Eigenvalues and Condition Numbers of Random Matrices (context) - Edelman - 1989
52 Hydrodynamic stability without eigenvalues (context) - Trefethen, Trefethen et al. - 1993
47 Pseudospectra of matrices (context) - Trefethen
46 Pseudospectra of linear operators - Trefethen - 1997
41 Approximation theory and numerical linear algebra (context) - Trefethen - 1990
38 Computation of pseudospectra - Trefethen - 1999
38 Convolution Equations and Projection Methods for Their Solut.. (context) - Gohberg, Fel'dman - 1974
36 Eigenvalues and pseudo-eigenvalues of Toeplitz matrices (context) - Reichel, Trefethen - 1992
27 Stability of the method of lines (context) - Reddy, Trefethen - 1992
26 Approximate Calculation of Integrals (context) - Krylov - 1962
24 Banach Algebra Techniques in Operator Theory (context) - Douglas - 1972
22 Spectra and pseudospectra: the behavior of non-normal matric.. (context) - Trefethen - 1999
22 Random Matrices and the Statistical Theory of Energy Levels (context) - Mehta - 1967
20 Introduction to Large Truncated Toeplitz Matrices (context) - ottcher, Silbermann - 1998
18 Spectral value sets: a graphical tool for robustness analysi.. (context) - Hinrichsen, Kelb - 1993
18 Pseudozeros of polynomials and pseudospectra of companion ma.. - Toh, Trefethen - 1994
18 Spectral Methods in MATLAB (context) - Trefethen - 2000
17 the separation of two matrices (context) - Varah - 1979
13 usion in certain random lattices (context) - Anderson, di - 1958
12 Spectral portraits of matrices (context) - Godunov, Kiriljuk et al. - 1990
11 Linear stability analysis in the numerical solution of initi.. (context) - van Dorsselaer, Kraaijevanger et al.
10 Toeplitz matrices (context) - Widom - 1965
8 Lectures on Finite Precision Computations (context) - Chaitin-Chatelin, Frayss - 1996
8 The generalized product moment distribution in samples from .. (context) - Wishart - 1928
8 The Riemann zeros and eigenvalue asymptotics - Berry, Keating - 1999
7 Random matrices in physics (context) - Wigner - 1967
7 Statistical ensembles of complex (context) - Ginibre - 1965
6 Vortex pinning and non-Hermitian quantum mechanics (context) - Hatano, Nelson - 1997
6 Frobenius Eigenvalues (context) - Katz, Sarnak et al. - 1999
6 o's eigenvalue distribution theory and non-Hermitian kernels (context) - Landau, Szeg - 1975
6 Pseudospectra and singular values of large convolution opera.. (context) - ottcher - 1994
6 Stability and Transition in Shear Flows (context) - Henningson, Schmid - 2000
5 Condition numbers of random triangular matrices - Viswanath, Trefethen - 1998
5 the application of the theory of normed rings to singular in.. (context) - Gohberg - 1952
5 Resolvent estimates for Abel integral operators and the regu.. - Plato - 1997
4 Spectral properties of random non-self-adjoint matrices and .. (context) - Davies
4 Pseudospectra of di erential operators (context) - Davies
4 the harmonic oscillator and complex resonances (context) - Davies - 1999
3 Spectral curves of non-hermitian hamiltonians (context) - Feinberg, Zee - 1999
3 Non-hermitian localization and population biology (context) - Nelson, Shnerb - 1998
3 Distribution of eigenvalues in non-Hermitian Anderson models (context) - Ya, Khoruzhenko - 1998
2 Non-Hermitean delocalization: multiple scattering and bounds (context) - Br, Zee - 1998
2 The pseudospectrum of the resistive magnetohydrodynamics ope.. (context) - Borba - 1994
2 Localization transitions in non-hermitian quantum mechanics (context) - Hatano, Nelson - 1996
2 Pseudospectra of the convection-di usion operator (context) - Reddy, Trefethen - 1994
2 unpublished letter to D (context) - Trefethen - 1997
2 A numerical analyst looks at the \cuto phenomenon (context) - onsson, Trefethen
2 Pseudospectra of random triangular matrices (context) - Embree, Trefethen
2 Swiss Federal Institute of Technology (context) - Baggett, an et al. - 1994
2 the asymptotic distribution of the spectra of nite truncatio.. (context) - Lerer - 1972
2 Hopf integral operators and constant-coecient di erential op.. (context) - Reddy, Wiener - 1993
2 Print archives xxx (context) - Feinberg, Zee et al. - 1999
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC