-
1
-
-
0003893794
-
-
SIAM, Philadelphia
-
Z. BAI, J. DEMMEL, J. DONGARRA, A. RUHE, AND H. VAN DER VORST, Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, SIAM, Philadelphia, 2000.
-
(2000)
Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide
-
-
Bai, Z.1
Demmel, J.2
Dongarra, J.3
Ruhe, A.4
Van Der Vorst, H.5
-
2
-
-
0001124340
-
Estimating the sensitivity of the algebraic structure of pencils with simple eigenvalue estimates
-
D. BOLEY, Estimating the sensitivity of the algebraic structure of pencils with simple eigenvalue estimates, SIAM J. Matrix Anal. Appl., 11 (1990), pp. 632-643.
-
(1990)
SIAM J. Matrix Anal. Appl.
, vol.11
, pp. 632-643
-
-
Boley, D.1
-
3
-
-
1342310021
-
Optimization and pseudospectra, with applications to robust stability
-
J. V. BURKE, A. S. LEWIS, AND M. L. OVERTON, Optimization and pseudospectra, with applications to robust stability, SIAM J. Matrix Anal. Appl., 25 (2003), pp. 80-104.
-
(2003)
SIAM J. Matrix Anal. Appl.
, vol.25
, pp. 80-104
-
-
Burke, J.V.1
Lewis, A.S.2
Overton, M.L.3
-
4
-
-
45949117656
-
Computing stable eigendecompositions of matrix pencils
-
J. W. DEMMEL AND B. KÅGSTRÖM, Computing stable eigendecompositions of matrix pencils, Linear Algebra Appl., 88 (1987), pp. 139-186.
-
(1987)
Linear Algebra Appl.
, vol.88
, pp. 139-186
-
-
Demmel, J.W.1
Kågström, B.2
-
5
-
-
0027608731
-
The generalized Schür decomposition of an arbitrary pencil A - λB: Robust software with error bounds and applications. I. Theory and algorithms
-
J. W. DEMMEL AND B. KÅGSTRÖM, The generalized Schür decomposition of an arbitrary pencil A - λB: Robust software with error bounds and applications. I. Theory and algorithms, ACM Trans. Math. Software, 19 (1993), pp. 160-174.
-
(1993)
ACM Trans. Math. Software
, vol.19
, pp. 160-174
-
-
Demmel, J.W.1
Kågström, B.2
-
6
-
-
0031524936
-
A geometric approach to perturbation theory of matrices and matrix pencils. Part I: Versal deformations
-
A. EDELMAN, E. ELMROTH, AND B. KÅGSTRÖM, A geometric approach to perturbation theory of matrices and matrix pencils. Part I: Versal deformations, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 653-692.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 653-692
-
-
Edelman, A.1
Elmroth, E.2
Kågström, B.3
-
7
-
-
0033239806
-
A geometric approach to perturbation theory of matrices and matrix pencils. Part II: A stratification-enhanced staircase algorithm
-
A. EDELMAN, E. ELMROTH, AND B. KÅGSTRÖM, A geometric approach to perturbation theory of matrices and matrix pencils. Part II: A stratification-enhanced staircase algorithm, SIAM J. Matrix Anal. Appl., 20 (1999), pp. 667-699.
-
(1999)
SIAM J. Matrix Anal. Appl.
, vol.20
, pp. 667-699
-
-
Edelman, A.1
Elmroth, E.2
Kågström, B.3
-
8
-
-
48849114756
-
Bounds for the distance between nearby Jordan and Kronecker structures in a closure hierarchy
-
E. ELMROTH, P. JOHANSSON, AND B. KÅGSTRÖM, Bounds for the distance between nearby Jordan and Kronecker structures in a closure hierarchy, J. Math. Sci. (N. Y.), 112 (2003), pp. 1765-1779.
-
(2003)
J. Math. Sci. (N. Y.)
, vol.112
, pp. 1765-1779
-
-
Elmroth, E.1
Johansson, P.2
Kågström, B.3
-
9
-
-
0442328714
-
Computation and presentation of graphs displaying closure hierarchies of Jordan and Kronecker structures
-
E. ELMROTH, P. JOHANSSON, AND B. KÅGSTRÖM, Computation and presentation of graphs displaying closure hierarchies of Jordan and Kronecker structures, Numer. Linear Algebra Appl., 8 (2001), pp. 381-399.
-
(2001)
Numer. Linear Algebra Appl.
, vol.8
, pp. 381-399
-
-
Elmroth, E.1
Johansson, P.2
Kågström, B.3
-
10
-
-
0036227401
-
Generalizing eigenvalue theorems to pseudospectra theorems
-
M. EMBREE AND L. N. TREFETHEN, Generalizing eigenvalue theorems to pseudospectra theorems, SIAM J. Sci. Comput., 23 (2001), pp. 583-590.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 583-590
-
-
Embree, M.1
Trefethen, L.N.2
-
11
-
-
0005579205
-
Spectral portraits for matrix pencils
-
CERFACS, Toulouse, France
-
V. FRAYSSÉ, M. GUEURY, F. NICOUD, AND V. TOUMAZOU, Spectral Portraits for Matrix Pencils, Technical report TR/PA/96/19, CERFACS, Toulouse, France, 1996.
-
(1996)
Technical Report
, vol.TR-PA-96-19
-
-
Frayssé, V.1
Gueury, M.2
Nicoud, F.3
Toumazou, V.4
-
12
-
-
3142728626
-
Shape from moments-An estimation theory perspective
-
M. ELAD, P. MILANFAR, AND G. H. GOLUB, Shape from moments-An estimation theory perspective, IEEE Trans. Signal Process., 52 (2004), pp. 1814-1829.
-
(2004)
IEEE Trans. Signal Process.
, vol.52
, pp. 1814-1829
-
-
Elad, M.1
Milanfar, P.2
Golub, G.H.3
-
13
-
-
0004236492
-
-
The Johns Hopkins University Press, Baltimore, MD
-
G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations, 3rd Ed.
-
-
Golub, G.H.1
Van Loan, C.F.2
-
14
-
-
0034321492
-
Eigenvalue computation in the 20th century
-
G. H. GOLUB AND H. VAN DER VORST, Eigenvalue computation in the 20th century, J. Comput. Appl. Math., 123 (2000), pp. 35-65.
-
(2000)
J. Comput. Appl. Math.
, vol.123
, pp. 35-65
-
-
Golub, G.H.1
Van Der Vorst, H.2
-
15
-
-
0034342240
-
New methods for estimating the distance to uncontrollability
-
M. GU, New methods for estimating the distance to uncontrollability, SIAM J. Matrix Anal. Appl., 21 (2000), pp. 989-1003.
-
(2000)
SIAM J. Matrix Anal. Appl.
, vol.21
, pp. 989-1003
-
-
Gu, M.1
-
16
-
-
0021564159
-
The generalized singular value decomposition and the general A - λB problem
-
B. KÅGSTRÖM, The generalized singular value decomposition and the general A - λB problem, BIT, 24 (1984), pp. 568-583.
-
(1984)
BIT
, vol.24
, pp. 568-583
-
-
Kågström, B.1
-
17
-
-
0000169752
-
RGSVD - An algorithm for computing the Kronecker structure and reducing subspaces of singular A - λB pencils
-
B. KÅGSTRÖM, RGSVD - An algorithm for computing the Kronecker structure and reducing subspaces of singular A - λB pencils, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 185-211.
-
(1986)
SIAM J. Sci. Statist. Comput.
, vol.7
, pp. 185-211
-
-
Kågström, B.1
-
18
-
-
10444230137
-
The computation and sensitivity of double eigenvalues
-
Advances in Computational Mathematics, Dekker, New York
-
R. LIPPERT AND A. EDELMAN, The computation and sensitivity of double eigenvalues, in Advances in Computational Mathematics, Lecture Notes in Pure and Appl. Math. 202, Dekker, New York, 1999, pp. 353-393.
-
(1999)
Lecture Notes in Pure and Appl. Math.
, vol.202
, pp. 353-393
-
-
Lippert, R.1
Edelman, A.2
-
19
-
-
23044455609
-
On Wilkinson's problem
-
Department of Informatics, University of Bergen, Norway
-
A. MALYSHEV, On Wilkinson's Problem, Tech. report 140, Department of Informatics, University of Bergen, Norway, 1997.
-
(1997)
Tech. Report
, vol.140
-
-
Malyshev, A.1
-
20
-
-
0001129014
-
Towards a generalized singular value decomposition
-
C. C. PAIGE AND M. A. SAUNDERS, Towards a generalized singular value decomposition, SIAM J. Numer. Anal., 18 (1981), pp. 398-405.
-
(1981)
SIAM J. Numer. Anal.
, vol.18
, pp. 398-405
-
-
Paige, C.C.1
Saunders, M.A.2
-
21
-
-
0041684492
-
A QR decomposition for matrix pencils
-
P. SPELLUCI AND W. M. HARTMANN, A QR decomposition for matrix pencils, BIT, 40 (1999), pp. 183-189.
-
(1999)
BIT
, vol.40
, pp. 183-189
-
-
Spelluci, P.1
Hartmann, W.M.2
-
22
-
-
21844491242
-
Perturbation theory for rectangular matrix pencils
-
G. W. STEWART, Perturbation theory for rectangular matrix pencils, Linear Algebra Appl., 208 (1994), pp. 297-301.
-
(1994)
Linear Algebra Appl.
, vol.208
, pp. 297-301
-
-
Stewart, G.W.1
-
23
-
-
85011519633
-
Computation of pseudospectra
-
L. N. TREFETHEN, Computation of pseudospectra, Acta Numer., 8 (1999), pp. 247-295.
-
(1999)
Acta Numer.
, vol.8
, pp. 247-295
-
-
Trefethen, L.N.1
-
24
-
-
0005646719
-
Pseudospectra for matrix pencils and stability of equilibria
-
J. L. M. VAN DORSSELAER, Pseudospectra for matrix pencils and stability of equilibria, BIT, 37 (1997), pp. 833-845.
-
(1997)
BIT
, vol.37
, pp. 833-845
-
-
Van Dorsselaer, J.L.M.1
-
25
-
-
0344585477
-
Pseudospectra of rectangular matrices
-
T. G. WRIGHT AND L. N. TREFETHEN, Pseudospectra of rectangular matrices, IMA J. Numer. Anal., 22 (2002), pp. 501-519.
-
(2002)
IMA J. Numer. Anal.
, vol.22
, pp. 501-519
-
-
Wright, T.G.1
Trefethen, L.N.2
-
26
-
-
0036223490
-
Large-scale computation of pseudospectra using ARPACK and eigs
-
T. G. WRIGHT AND L. N. TREFETHEN, Large-scale computation of pseudospectra using ARPACK and eigs, SIAM J. Sci. Comput., 23 (2001), pp. 591-605.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 591-605
-
-
Wright, T.G.1
Trefethen, L.N.2
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