Large-scale computation of pseudospectra using ARPACK and eigs

SIAM Journal on Scientific Computing

Volumn 23, Issue 2, 2002, Pages 591-605

  Wright, Thomas G ^a   Trefethen, Lloyd N ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Arnoldi; ARPACK; Eigenvalues; Implicit restarting; Pseudospectra

Indexed keywords

APPROXIMATION THEORY; COMPUTER SOFTWARE; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; MATRIX ALGEBRA;

SOFTWARE PACKAGES;

COMPUTATIONAL METHODS;

EID: 0036223490     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S106482750037322X     Document Type: Conference Paper

References (32)

1. The principle of minimized iteration in the solution of the matrix eigenvalue problem
2. Computing the field of values and pseudospectra using the Lanczos method with continuation
3. Stability analysis in aeronautical industries
4. A block algorithm for matrix 1-norm estimation, with an application to 1-norms pseudospectra
5. Waves in distributed chemical systems: Experiments and computations
6. Computation of pseudospectra by continuation
7. Eigenvalue calculation procedure for an Euler-Navier-Stokes solver with applications to flows over airfoils
8. On hybrid iterative methods for nonsymmetric systems of linear equations
9. A hybrid GMRES algorithm for non-symmetric linear systems
10. Pseudospectra of the Orr-Sommerfeld operator
11. Rational Krylov algorithms for nonsymmetrie eigenvalue problems. II. Matrix pairs
12. Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
13. A Jacobi-Davidson iteration method for linear eigenvalue problems
14. Implicit application of polynomial filters in a k-step Arnoldi method
15. Calculation of pseudospectra by the Arnoldi iteration
16. Spectra and pseudospectra for pipe Poiseuille flow
17. Pseudospectra of matrices
18. Computation of Pseudospectra
19. Hydrodynamic stability without eigenvalues