-
2
-
-
0038880251
-
Stopping criteria for eigensolvers
-
CERFACS, Toulouse, France
-
Maria Bennani and Thierry Braconnier, Stopping criteria for eigensolvers, Technical Report TR/PA/94/22, CERFACS, Toulouse, France, 1994.
-
(1994)
Technical Report TR/PA/94/22
-
-
Bennani, M.1
Braconnier, T.2
-
3
-
-
1542464233
-
Influence of orthogonality on the backward error and the stopping criterion for Krylov methods
-
Manchester Centre for Computational Mathematics, Manchester, England, December
-
Thierry Braconnier, Influence of orthogonality on the backward error and the stopping criterion for Krylov methods, Numerical Analysis Report No. 281, Manchester Centre for Computational Mathematics, Manchester, England, December 1995.
-
(1995)
Numerical Analysis Report No. 281
-
-
Braconnier, T.1
-
4
-
-
0346928190
-
Highly nonnormal eigenproblems in the aeronautical industry
-
Thierry Braconnier, Françoise Chatelin, and J. C. Dunyach. Highly nonnormal eigenproblems in the aeronautical industry, Japan J. Indust. Appl. Math., 12 (1995), pp. 123-136.
-
(1995)
Japan J. Indust. Appl. Math.
, vol.12
, pp. 123-136
-
-
Braconnier, T.1
Chatelin, F.2
Dunyach, J.C.3
-
5
-
-
1542498744
-
A curve tracing algorithm for computing the pseudospectrum
-
Martin Brühl, A curve tracing algorithm for computing the pseudospectrum, BIT, 36 (1996), pp. 441-454.
-
(1996)
BIT
, vol.36
, pp. 441-454
-
-
Brühl, M.1
-
6
-
-
1542464235
-
Spectral portrait for non Hermitian large sparse matrices
-
INRIA/IRISA, Unité de Recherche, Rennes, France
-
J. Carpraux, J. Erhel, and M. Sadkane, Spectral portrait for non Hermitian large sparse matrices, Technical Report 777, INRIA/IRISA, Unité de Recherche, Rennes, France, 1993.
-
(1993)
Technical Report
, vol.777
-
-
Carpraux, J.1
Erhel, J.2
Sadkane, M.3
-
7
-
-
0003617430
-
-
Society for Industrial and Applied Mathematics, Philadelphia, PA, USA
-
Françoise Chaitin-Chatelin and Valérie Frayssé, Lectures on Finite Precision Computations, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1996.
-
(1996)
Lectures on Finite Precision Computations
-
-
Chaitin-Chatelin, F.1
Frayssé, V.2
-
9
-
-
0004109578
-
-
Report RAL-92-086, Atlas Centre, Rutherford Appleton Laboratory, Didcot, Oxon, UK, December
-
Iain S. Duff, Roger G. Grimes, and John G. Lewis, Users' guide for the Harwell-Boeing sparse matrix collection (release 1), Report RAL-92-086, Atlas Centre, Rutherford Appleton Laboratory, Didcot, Oxon, UK, December 1992.
-
(1992)
Users' Guide for the Harwell-Boeing Sparse Matrix Collection (Release 1)
-
-
Duff, I.S.1
Grimes, R.G.2
Lewis, J.G.3
-
10
-
-
0004236492
-
-
Johns Hopkins University Press, Baltimore, MD, USA
-
Gene H. Golub and Charles F. Van Loan, Matrix Computations, 2nd edition, Johns Hopkins University Press, Baltimore, MD, USA, 1989.
-
(1989)
Matrix Computations, 2nd Edition
-
-
Golub, G.H.1
Van Loan, C.F.2
-
12
-
-
0001943898
-
Stiffness of ODEs
-
Desmond J. Higham and Lloyd N. Trefethen, Stiffness of ODEs, BIT, 33 (1993), pp. 285-303.
-
(1993)
BIT
, vol.33
, pp. 285-303
-
-
Higham, D.J.1
Trefethen, L.N.2
-
13
-
-
0003492388
-
The Test Matrix Toolbox for MATLAB (version 3.0)
-
Manchester Centre for Computational Mathematics, Manchester, England, September
-
Nicholas J. Higham, The Test Matrix Toolbox for MATLAB (version 3.0), Numerical Analysis Report No. 276, Manchester Centre for Computational Mathematics, Manchester, England, September 1995.
-
(1995)
Numerical Analysis Report No. 276
-
-
Higham, N.J.1
-
16
-
-
0040334472
-
Numerical determination of the field of values of a general complex matrix
-
Charles R. Johnson, Numerical determination of the field of values of a general complex matrix, SIAM J. Numer. Anal., 15:3 (1978), pp. 595-602.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, Issue.3
, pp. 595-602
-
-
Johnson, C.R.1
-
17
-
-
0043178250
-
Estimating the largest eigenvalue by the power and Lanczos algorithms with a random start
-
J. Kuczyński and H. Woźniakowski, Estimating the largest eigenvalue by the power and Lanczos algorithms with a random start, SIAM J. Matrix Anal. Appl., 13:4 (1992), pp. 1094-1122.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, Issue.4
, pp. 1094-1122
-
-
Kuczyński, J.1
Woźniakowski, H.2
-
19
-
-
0031082730
-
Computation of pseudospectra by continuation
-
To appear
-
S. H. Lui, Computation of pseudospectra by continuation, SIAM J. Sci. Comput., 1996. To appear.
-
(1996)
SIAM J. Sci. Comput.
-
-
Lui, S.H.1
-
20
-
-
0007899437
-
Spectral portrait computation by a Lanczos method (normal equation version)
-
CERFACS, Toulouse, France, December
-
Osni A. Marques and Vincent Toumazou, Spectral portrait computation by a Lanczos method (normal equation version), Technical Report TR/PA/95/02, CERFACS, Toulouse, France, December 1994.
-
(1994)
Technical Report TR/PA/95/02
-
-
Marques, O.A.1
Toumazou, V.2
-
21
-
-
0007899437
-
Spectral portrait computation by a Lanczos method (augmented matrix version)
-
CERFACS, Toulouse, France, February
-
Osni A. Marques and Vincent Toumazou, Spectral portrait computation by a Lanczos method (augmented matrix version). Technical Report TR/PA/95/05, CERFACS, Toulouse, France, February 1995.
-
(1995)
Technical Report TR/PA/95/05
-
-
Marques, O.A.1
Toumazou, V.2
-
22
-
-
0347185749
-
Krylov subspace processes, Krylov subspace methods, and iteration polynomials
-
J. David Brown, Moody T. Chu, Donald C. Ellison, and Robert J. Plemmons, eds., Society for Industrial and Applied Mathematics, Philadelphia, PA, USA
-
C. C. Paige, Krylov subspace processes, Krylov subspace methods, and iteration polynomials, in Proceedings of the Cornelius Lanczos International Centenary Conference, J. David Brown, Moody T. Chu, Donald C. Ellison, and Robert J. Plemmons, eds., Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1994, pp. 83-92.
-
(1994)
Proceedings of the Cornelius Lanczos International Centenary Conference
, pp. 83-92
-
-
Paige, C.C.1
-
23
-
-
84968486060
-
On estimating the largest eigenvalue with the Lanczos algorithm
-
B. N. Parlett, H. Simon, and L. M. Stringer, On estimating the largest eigenvalue with the Lanczos algorithm, Math. Comp., 38 (1982), pp. 153-165.
-
(1982)
Math. Comp.
, vol.38
, pp. 153-165
-
-
Parlett, B.N.1
Simon, H.2
Stringer, L.M.3
-
24
-
-
0003668665
-
-
Prentice-Hall, Englewood Cliffs, NJ, USA
-
Beresford N. Parlett, The Symmetric Eigenvalue Problem, Prentice-Hall, Englewood Cliffs, NJ, USA, 1980.
-
(1980)
The Symmetric Eigenvalue Problem
-
-
Parlett, B.N.1
-
25
-
-
0039287072
-
Misconvergence in the Lanczos algorithm
-
M. G. Cox and S. J. Hammarling, eds., Oxford University Press
-
Beresford N. Parlett, Misconvergence in the Lanczos algorithm, in Reliable Numerical Computation, M. G. Cox and S. J. Hammarling, eds., Oxford University Press, 1990, pp. 7-24.
-
(1990)
Reliable Numerical Computation
, pp. 7-24
-
-
Parlett, B.N.1
-
26
-
-
0028695631
-
Pseudospectra of the convection-diffusion operator
-
Satish C. Reddy and Lloyd N. Trefethen, Pseudospectra of the convection-diffusion operator, SIAM J. Appl. Math., 54:6 (1994), pp. 1634-1649.
-
(1994)
SIAM J. Appl. Math.
, vol.54
, Issue.6
, pp. 1634-1649
-
-
Reddy, S.C.1
Trefethen, L.N.2
-
27
-
-
0000571164
-
On the compatibility of a given solution with the data of a linear system
-
J. L. Rigal and J. Gaches, On the compatibility of a given solution with the data of a linear system, J. Assoc. Comput. Mach., 14:3 (1967), pp. 543-548.
-
(1967)
J. Assoc. Comput. Mach.
, vol.14
, Issue.3
, pp. 543-548
-
-
Rigal, J.L.1
Gaches, J.2
-
28
-
-
0000305146
-
Closest normal matrix finally found!
-
Axel Ruhe, Closest normal matrix finally found!, BIT, 27 (1987), pp. 585-598.
-
(1987)
BIT
, vol.27
, pp. 585-598
-
-
Ruhe, A.1
-
30
-
-
84936777186
-
Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems
-
Youcef Saad, Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems, Math. Comp., 42:166 (1984), pp. 567-588.
-
(1984)
Math. Comp.
, vol.42
, Issue.166
, pp. 567-588
-
-
Saad, Y.1
-
31
-
-
0016567489
-
On logarithmic norms
-
Torsten Ström, On logarithmic norms, SIAM J. Numer. Anal., 12:5 (1975), pp. 741-753.
-
(1975)
SIAM J. Numer. Anal.
, vol.12
, Issue.5
, pp. 741-753
-
-
Ström, T.1
-
32
-
-
0001953835
-
Calculation of pseudospectra by the Arnoldi iteration
-
Kim-Chuan Toh and Lloyd N. Trefethen, Calculation of pseudospectra by the Arnoldi iteration, SIAM J. Sci. Comput., 17:1 (1996), pp. 1-15.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, Issue.1
, pp. 1-15
-
-
Toh, K.-C.1
Trefethen, L.N.2
-
33
-
-
0000992781
-
Pseudospectra of matrices
-
Numerical Analysis 1991, Proceedings of the 14th Dundee Conference, D. F. Griffiths and G. A. Watson, eds., Longman Scientific and Technical, Essex, UK
-
Lloyd N. Trefethen, Pseudospectra of matrices, in Numerical Analysis 1991, Proceedings of the 14th Dundee Conference, D. F. Griffiths and G. A. Watson, eds., volume 260 of Pitman Research Notes in Mathematics, Longman Scientific and Technical, Essex, UK, 1992, pp. 234-266.
-
(1992)
Volume 260 of Pitman Research Notes in Mathematics
, vol.260
, pp. 234-266
-
-
Trefethen, L.N.1
-
35
-
-
0027628642
-
Hydrodynamic stability without eigenvalues
-
Lloyd N. Trefethen, Anne E. Trefethen, Satish C. Reddy, and Tobin A. Driscoll, Hydrodynamic stability without eigenvalues, Science, 261 (1993), pp. 578-584.
-
(1993)
Science
, vol.261
, pp. 578-584
-
-
Trefethen, L.N.1
Trefethen, A.E.2
Reddy, S.C.3
Driscoll, T.A.4
-
36
-
-
38249033965
-
The convergence behaviour of Ritz values in the presence of close eigenvalues
-
A. van der Sluis and H. A. van der Vorst, The convergence behaviour of Ritz values in the presence of close eigenvalues, Linear Algebra Appl., 88/89 (1987), pp. 651-694.
-
(1987)
Linear Algebra Appl.
, vol.88-89
, pp. 651-694
-
-
Van Der Sluis, A.1
Van Der Vorst, H.A.2
-
37
-
-
0042680063
-
Computing the numerical radius
-
G. A. Watson, Computing the numerical radius, Linear Algebra Appl., 234 (1996), pp. 163-172.
-
(1996)
Linear Algebra Appl.
, vol.234
, pp. 163-172
-
-
Watson, G.A.1
|