References



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References

1
M. Bennani and T. Braconnier. Comparative behaviour of eigensolvers on highly nonnormal matrices. Tech. Rep. TR/PA/94/23, CERFACS, 1994.

2
T. Braconnier and N. J. Higham. Computing the field of values and pseudospectra using the Lanczos method with continuation. Numerical Analysis Report No. 279, University of Manchester. To appear in BIT, 1996.

3
M. Brühl. A curve tracing algorithm for computing the pseudospectrum. To appear in BIT, 1996.

4
J. F. Carpraux, J. Erhel, and M. Sadkane. Spectral portrait for non hermitian large sparse matrices. Tech. Rep. 777, INRIA / IRISA, unité de recherche INRIA--Rennes, Campus de Beaulieu, 35042 Rennes cedex, France, Novembre 1993.

5
F. Chaitin-Chatelin. Is nonnormality a serious difficulty ? Tech. Rep. TR/PA/94/18, CERFACS, August 1994. Presented at ILAS 94, Rotterdam.

6
F. Chaitin-Chatelin and V. Frayssé. Lectures on Finite Precision Computations. SIAM, Philadelphia, 1996. In press.

7
F. Chatelin. Eigenvalues of matrices. Wiley, Chichester, 1993. Enlarged Translation of the French Edition with Masson.

8
F. Collino. Private communication, 1995.

9
I.S. Duff, R.G. Grimes, and J.G. Lewis. User's Guide for the Harwell-Boeing Sparse Matrix Collection. Technical Report TR-PA-92-86, CERFACS, August 1992.

10
S. K. Godunov. Spectral portraits of matrices and criteria of spectrum dichotomy. In J. Herzberger and L. Atanassova, editors, Computer arithmetic and enclosure methods. North-Holland and IMACS, October 1992.

11
O. Marques. An interactive complex hermitian-lanczos eigensolver. Technical Report TR/PA/94/16, CERFACS, 1994.

12
O. Marques and V. Toumazou. Spectral portraits computation by a Lanczos method, augmented matrix version. Tech. Rep. TR/PA/95/05, CERFACS, 1995.

13
L. N. Trefethen. Pseudospectra of matrices. In D. F. Griffiths and G. A. Watson, editors, Numerical Analysis 1991. Longman, Harlow, 1992.

14
L. N. Trefethen, A. E. Trefethen, S. C. Reddy, and T. A. Driscoll. Hydrodynamics stability without eigenvalues. Science, 261:578--584, July 1993.

15
J. H. Wilkinson. The Algebraic Eigenvalue Problem. Oxford University Press, Oxford, 1965.


Contact: toumazou@cerfacs.fr
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