Abstract
This paper presents a parallel version of a Davidson type method for the computation of spectral portrait of large non hermitian matrices. Performance results obtained on the machine Paragon are reported.
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Bai, Z., Barret, R., Day, D., Demmel, J., Dongarra, J.: Test matrix collection (non-hermitian eigenvalue problems). Manuscript, (1995)
Carpraux, J.F., Erhel, J., Sadkane, M.: Spectral portrait for non hermitian large matrices. Computing, 53 (1994) 301–310
Crouzeix, M., Philippe, B., Sadkane, M.: The Davidson method. SIAM J. Sci. Comput. 15 (1994) 62–76
Davidson, E.R.: The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices. Comp. Phys. 17 (1975) 87–94
Godunov, S.K.: Spectral portrait of matrices and criteria of spectrum dichotomy. In L. Athanassova and J. Herzberger, editors, in the third international IMACS-CAMM symposium on Computer arithmetic and enclosure methods. Oldenburg, North-Holland,(1991)
Golub, G.H., Van Loan, C.F.: Matrix Computations. The Johns Hopkins University Press, Baltimore, (1989)
Heuveline, V., Sadkane, M.: Parallel computation of spectral portrait of large matrices. Technical Report 1037, INRIA-IRISA, (1996)
Philippe, B., Sadkane, M.: Computation of the fundamental singular subspace of a large matrix. To appear in Lin. Alg. Applic.
Sleijpen, G.L.G., Van der Vorst, H.A.: A Jacobi-Davidson iteration method for linear eigenvalue problems. SIAM J. Matrix Anal. Appl. 17 (1996) 401–425
Toumazou, V., Marques, O.A.: Spectral portrait computation by a Lanczos method. Technical Report TR/PA/95/05, CERFACS, (1995)
Trefethen, L.N.: Pseudospectra of matrices. In D.F. Griffiths and G.A. Watson, editors, in 14th Dundee Biennal Conference on Numerical Analysis, (1991)
Trefethen, L.N.: Pseudospectra of linear operators. In Berlin Akademie-Verlag, editor, ICIAM'95: Proceedings of the third international congress on industrial and applied mathematics, (1995)
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© 1996 Springer-Verlag Berlin Heidelberg
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Heuveline, V., Sadkane, M. (1996). Parallel computation of spectral portrait of large matrices. In: Waśniewski, J., Dongarra, J., Madsen, K., Olesen, D. (eds) Applied Parallel Computing Industrial Computation and Optimization. PARA 1996. Lecture Notes in Computer Science, vol 1184. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62095-8_42
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DOI: https://doi.org/10.1007/3-540-62095-8_42
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