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by V. Simoncini, E. Gallopoulos
Electronic Transactions on Numerical Analysis (ETNA
http://daidalos.hpclab.ceid.upatras.gr/faculty/Papers/pp190-201.ps
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Abstract:
z Abstract. A unifying framework for methods employed in the approximation of the resolvent norm of nonnormal matrices is presented. This formulation uses specific transfer functions, and it provides new information about the approximation properties of these methods and their application in computing the pseudospectrum of matrices.
Citations
|
237
|
Users' guide for the Harwell-Boeing sparse matrix collection (release I).Technical Report TR/PA/92/86, Research and Technology Division, Boeing Computer Services
– Duff, Grimes, et al.
- 1992
|
|
84
|
Pseudospectra of matrices
– Trefethen
- 1992
|
|
71
|
Hydrodynamic stability without eigenvalues
– Trefethen, Trefethen, et al.
- 1993
|
|
55
|
The test matrix toolbox for matlab (version 3.0
– Higham
- 1995
|
|
27
|
Calculation of pseudospectra by the Arnoldi iteration
– Toh, Trefethen
- 1996
|
|
26
|
Computing the field of values and pseudospectra using the Lanczos method with continuation
– Braconnier, Higham
- 1996
|
|
20
|
Spectral portraits of matrices and criteria of spectrum dichotomy
– Godunov
- 1991
|
|
18
|
A block lanczos method for computing the singular values and corresponding singular vectors of a matrix
– Golub, Luk, et al.
- 1981
|
|
17
|
Spectral portrait for non hermitian large sparse matrices
– Carpraux, Erhel, et al.
- 1994
|
|
12
|
Spectral Portrait Computation by a Lanczos Method (Normal equation version
– Marques, Toumazou
- 1995
|
|
9
|
The rational Krylov algorithm for large nonsymmetric eigenvalues -- mapping the resolvent norms (pseudospectrum). Unpublished note
– Ruhe
- 1994
|
|
7
|
Parallel computation of spectral portrait of large matrices by Davidson type methods. Numerical Algorithms
– Heuveline, Philippe, et al.
- 1998
|
|
6
|
Operator coefficient methods for linear equations
– Grcar
- 1989
|
|
5
|
Matrix Approximation Problems and Nonsymmetric Iterative Methods
– TOH
- 1996
|
|
2
|
Complete iterative method for computing pseudospectra
– Braconnier
- 1997
|
|
2
|
Une m'ethode stable de bloc-diagonalisation de matrices: Application au calcul de portrait spectral
– Lavall'ee, Sadkane
- 1997
|
|
1
|
GALLOPOULOS,On transfer functions and approximation of resolvent norms applied to the computation of matrix pseudospectra
– BEKAS, KOUTIS, et al.
|
