-
1
-
-
23944490373
-
CAREX - A collection of benchmark examples for continuous-time algebraic Riccati equations (version 2.0)
-
ABELS, J. AND BENNER, P. 1999. CAREX - a collection of benchmark examples for continuous-time algebraic Riccati equations (version 2.0). SLICOT working note 1999-14, http://www.win.tue.nl/niconet.
-
(1999)
SLICOT Working Note 1999-14
-
-
Abels, J.1
Benner, P.2
-
2
-
-
0003706460
-
-
SIAM, Philadelphia, PA.
-
ANDERSON, E., BAI, Z., BISCHOF, C., BLACKFORD, S., DEMMEL, J. W., DONGARRA, J. J., Du CROZ, J., GREENBAUM, A., HAMMARLING, S., MCKENNEY, A., AND SORENSEN, D. C. 1999. LAPACK Users' Guide, 3rd Ed. SIAM, Philadelphia, PA.
-
(1999)
LAPACK Users' Guide, 3rd Ed.
-
-
Anderson, E.1
Bai, Z.2
Bischof, C.3
Blackford, S.4
Demmel, J.W.5
Dongarra, J.J.6
Du Croz, J.7
Greenbaum, A.8
Hammarling, S.9
Mckenney, A.10
Sorensen, D.C.11
-
3
-
-
0021618667
-
Generalized eigenproblem algorithms and software for algebraic Riccati equations
-
ARNOLD, III, W. AND LAUB, A. 1984. Generalized eigenproblem algorithms and software for algebraic Riccati equations. Proceedings of the IEEE 72, 1746-1754.
-
(1984)
Proceedings of the IEEE
, vol.72
, pp. 1746-1754
-
-
Arnold III, W.1
Laub, A.2
-
4
-
-
0002376095
-
On a block implementation of the Hessenberg multishift QR iterations
-
BAI, Z. AND DEMMEL, J. W. 1989. On a block implementation of the Hessenberg multishift QR iterations. Internat. J. High Speed Comput. 1, 97-112.
-
(1989)
Internat. J. High Speed Comput.
, vol.1
, pp. 97-112
-
-
Bai, Z.1
Demmel, J.W.2
-
5
-
-
43949169431
-
On swapping diagonal blocks in real Schur form
-
BAI, Z. AND DEMMEL, J. W. 1993. On swapping diagonal blocks in real Schur form. Linear Algebra Appl. 186, 73-95.
-
(1993)
Linear Algebra Appl.
, vol.186
, pp. 73-95
-
-
Bai, Z.1
Demmel, J.W.2
-
6
-
-
0034753339
-
Symplectic balancing of Hamiltonian matrices
-
BENNER, P. 2000. Symplectic balancing of Hamiltonian matrices. SIAM J. Sci. Comput. 22, 5, 1885-1904.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, Issue.5
, pp. 1885-1904
-
-
Benner, P.1
-
7
-
-
0003000033
-
Algorithm 800: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices I: The square-reduced method
-
BENNER, P., BYERS, R., AND BARTH, E. 2000. Algorithm 800: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices I: The square-reduced method. ACM Trans. Math. Soft. 26, 49-77.
-
(2000)
ACM Trans. Math. Soft.
, vol.26
, pp. 49-77
-
-
Benner, P.1
Byers, R.2
Barth, E.3
-
8
-
-
33244488901
-
-
Preprint 2004-06, Institut für Mathematik, TU Berlin, D-10623 Berlin, Germany
-
BENNER, P., BYERS, R., MEHRMANN, V., AND Xu, H. 2004. Robust numerical methods for robust control. Preprint 2004-06, Institut für Mathematik, TU Berlin, D-10623 Berlin, Germany, http://www.math.tu-berlin.da/preprints.
-
(2004)
Robust Numerical Methods for Robust Control
-
-
Benner, P.1
Byers, R.2
Mehrmann, V.3
Xu, H.4
-
9
-
-
33746235754
-
Balancing sparse Hamiltonian eigenproblems
-
To appear.
-
BENNER, P. AND KRESSNER, D. 2003. Balancing sparse Hamiltonian eigenproblems. Linear Algebra. Appl. To appear.
-
(2003)
Linear Algebra. Appl.
-
-
Benner, P.1
Kressner, D.2
-
10
-
-
0042692930
-
Structure preservation: A challenge in computational control
-
BENNER, P., KRESSNER, D., AND MEHRMANN, V. 2003. Structure preservation: A challenge in computational control. Future Generation Comput. Syst. 19, 7, 1243-1252.
-
(2003)
Future Generation Comput. Syst.
, vol.19
, Issue.7
, pp. 1243-1252
-
-
Benner, P.1
Kressner, D.2
Mehrmann, V.3
-
11
-
-
33746211824
-
Skew-Hamiltonian and Hamiltonian eigenvalue problems: Theory, algorithms and applications
-
Brijoni, Croatia. Z. Drmae, M. Marusic, and Z. Tutek, Eds. Springer-Verlag
-
BENNER, P., KRESSNER, D., AND MEHRMANN, V. 2005. Skew-Hamiltonian and Hamiltonian eigenvalue problems: Theory, algorithms and applications. In Proceedings of the Conference on Applied Mathematics and Scientific Computing. Brijoni, Croatia. Z. Drmae, M. Marusic, and Z. Tutek, Eds. Springer-Verlag, 3-39.
-
(2005)
Proceedings of the Conference on Applied Mathematics and Scientific Computing
, pp. 3-39
-
-
Benner, P.1
Kressner, D.2
Mehrmann, V.3
-
12
-
-
0001071425
-
SLICOT - A subroutine library in systems and control theory
-
Birkhäuser, Boston, MA
-
BENNER, P., MEHRMANN, V., SIMA, V., VAN HUFFEL, S., AND VARGA, A. 1999. SLICOT - a subroutine library in systems and control theory. In Applied and Computational Control, Signals, and Circuits, Vol. 1. Birkhäuser, Boston, MA, 499-539.
-
(1999)
Applied and Computational Control, Signals, and Circuits
, vol.1
, pp. 499-539
-
-
Benner, P.1
Mehrmann, V.2
Sima, V.3
Van Huffel, S.4
Varga, A.5
-
13
-
-
0031272504
-
A new method for computing the stable invariant subspace of a real Hamiltonian matrix
-
BENNER, P., MEHRMANN, V., AND XU, H. 1997. A new method for computing the stable invariant subspace of a real Hamiltonian matrix. J. Comput. Appl. Math, 86, 17-43.
-
(1997)
J. Comput. Appl. Math
, vol.86
, pp. 17-43
-
-
Benner, P.1
Mehrmann, V.2
Xu, H.3
-
14
-
-
0032344706
-
A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils
-
BENNER, P., MEHRMANN, V., AND XU, H. 1998. A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils. Numerische Mathematik 78, 3, 329-358.
-
(1998)
Numerische Mathematik
, vol.78
, Issue.3
, pp. 329-358
-
-
Benner, P.1
Mehrmann, V.2
Xu, H.3
-
15
-
-
0000973369
-
A note on the numerical solution of complex Hamiltonian and skew-Hamiltonian eigenvalue problems
-
BENNER, P., MEHRMANN, V., AND XU, H. 1999. A note on the numerical solution of complex Hamiltonian and skew-Hamiltonian eigenvalue problems. Electron. Trans. Numer. Anal. 8, 115-126.
-
(1999)
Electron. Trans. Numer. Anal.
, vol.8
, pp. 115-126
-
-
Benner, P.1
Mehrmann, V.2
Xu, H.3
-
16
-
-
0001951009
-
The WY representation for products of Householder matrices
-
BISCHOF, C. AND VAN LOAN, C. F. 1987. The WY representation for products of Householder matrices. SIAM J. Sci. Statist. Comput. 8, 1, 2-13.
-
(1987)
SIAM J. Sci. Statist. Comput.
, vol.8
, Issue.1
, pp. 2-13
-
-
Bischof, C.1
Van Loan, C.F.2
-
17
-
-
0026987622
-
The periodic Schur decomposition; algorithm and applications
-
SPIE, the International Society for Optical Engineering, Bellingham, WA
-
BOJANCZYK, A., GOLUB, G. H., AND VAN DOOREN, P. 1992. The periodic Schur decomposition; algorithm and applications. In Advanced Signal Processing Algorithms, Architectures, and Implementations III. Vol. 1770. SPIE, the International Society for Optical Engineering, Bellingham, WA, 31-42.
-
(1992)
Advanced Signal Processing Algorithms, Architectures, and Implementations III
, vol.1770
, pp. 31-42
-
-
Bojanczyk, A.1
Golub, G.H.2
Van Dooren, P.3
-
18
-
-
0024861573
-
∞ norm of a transfer matrix and related problems
-
∞ norm of a transfer matrix and related problems. Math. Control, Signals, Syst. 2, 207-219.
-
(1989)
Math. Control, Signals, Syst.
, vol.2
, pp. 207-219
-
-
Boyd, S.1
Balakrishnan, V.2
Kabamba, P.3
-
19
-
-
38249035464
-
The weak and strong stability of algorithms in numerical linear algebra
-
BUNCH, J. R. 1987. The weak and strong stability of algorithms in numerical linear algebra. Linear Algebra Appl. 88/89, 49-66.
-
(1987)
Linear Algebra Appl.
, vol.88-89
, pp. 49-66
-
-
Bunch, J.R.1
-
20
-
-
38249039967
-
Matrix factorizations for symplectic Q R -like methods
-
BUNSE-GERSTNER, A. 1986. Matrix factorizations for symplectic Q R -like methods. Linear Algebra Appl. 83, 49-77.
-
(1986)
Linear Algebra Appl.
, vol.83
, pp. 49-77
-
-
Bunse-Gerstner, A.1
-
21
-
-
0037828294
-
Robust stability and a criss-cross algorithm for pseudospectra
-
BURKE, J. V., LEWIS, A. S., AND OVERTON, M. L. 2003. Robust stability and a criss-cross algorithm for pseudospectra. IMA J. Numer. Anal. 23, 3, 359-375.
-
(2003)
IMA J. Numer. Anal.
, vol.23
, Issue.3
, pp. 359-375
-
-
Burke, J.V.1
Lewis, A.S.2
Overton, M.L.3
-
22
-
-
0003930438
-
-
Ph.D. thesis, Department of Computer Science, Cornell University, Ithaca, NY
-
BYERS, R. 1983. Hamiltonian and symplectic algorithms for the algebraic Riccati equation. Ph.D. thesis, Department of Computer Science, Cornell University, Ithaca, NY.
-
(1983)
Hamiltonian and Symplectic Algorithms for the Algebraic Riccati Equation
-
-
Byers, R.1
-
23
-
-
0001659028
-
A bisection method for measuring the distance of a stable to unstable matrices
-
BYERS, R. 1988. A bisection method for measuring the distance of a stable to unstable matrices. SIAM J. Sci. Statist. Comput. 9, 875-881.
-
(1988)
SIAM J. Sci. Statist. Comput.
, vol.9
, pp. 875-881
-
-
Byers, R.1
-
24
-
-
0025402476
-
A set of level 3 basic linear algebra subprograms
-
DONGARRA, J. J., DU CROZ, J., DUFF, I. S., AND HAMMARLING, S. 1990. A set of level 3 basic linear algebra subprograms. ACM Trans. Math. Softw. 16, 1-17.
-
(1990)
ACM Trans. Math. Softw.
, vol.16
, pp. 1-17
-
-
Dongarra, J.J.1
Du Croz, J.2
Duff, I.S.3
Hammarling, S.4
-
25
-
-
0000257176
-
Block reduction of matrices to condensed forms for eigenvalue computations
-
Reprinted in Parallel Algorithms for Numerical Linear Algebra, 215-227, North-Holland, Amsterdam, 1990
-
DONGARHA, J. J., SOHENSEN, D. C., AND HAMMARLING, S. J. 1989. Block reduction of matrices to condensed forms for eigenvalue computations. J. Comput. Appl. Math. 27, 1-2, 215-227. (Reprinted in Parallel Algorithms for Numerical Linear Algebra, 215-227, North-Holland, Amsterdam, 1990.)
-
(1989)
J. Comput. Appl. Math.
, vol.27
, Issue.1-2
, pp. 215-227
-
-
Dongarha, J.J.1
Sohensen, D.C.2
Hammarling, S.J.3
-
26
-
-
0004302403
-
The multishift QR algorithm-is it worth the trouble?
-
IBM Scientific Center, Palo Alto, CA
-
DUBRULLE, A. A. 1991. The multishift QR algorithm-is it worth the trouble? TR 6320-3558, IBM Scientific Center, Palo Alto, CA.
-
(1991)
TR 6320-3558
-
-
Dubrulle, A.A.1
-
28
-
-
0028447254
-
Numerical solution of the discrete-time periodic Riccati equation
-
HENCH, J. J. AND LAUB, A. J. 1994. Numerical solution of the discrete-time periodic Riccati equation. IEEE Trans. Automat. Control 39, 6, 1197-1210.
-
(1994)
IEEE Trans. Automat. Control
, vol.39
, Issue.6
, pp. 1197-1210
-
-
Hench, J.J.1
Laub, A.J.2
-
29
-
-
0042379657
-
Numerical solution of quadratic eigenvalue problems with structure-preserving methods
-
HWANG, T.-M., LIN, W.-W., AND MEHRMANN, V. 2003. Numerical solution of quadratic eigenvalue problems with structure-preserving methods. SIAM J. Sci. Comput. 24, 4, 1283-1302.
-
(2003)
SIAM J. Sci. Comput.
, vol.24
, Issue.4
, pp. 1283-1302
-
-
Hwang, T.-M.1
Lin, W.-W.2
Mehrmann, V.3
-
30
-
-
4043165508
-
Block algorithms for orthogonal symplectic factorizations
-
KRESSNER, D. 2003a. Block algorithms for orthogonal symplectic factorizations. BIT 43, 4, 775-790.
-
(2003)
BIT
, vol.43
, Issue.4
, pp. 775-790
-
-
Kressner, D.1
-
31
-
-
33646478029
-
The periodic QR algorithm is a disguised QR algorithm
-
KRESSNER, D. 2003b. The periodic QR algorithm is a disguised QR algorithm. Linear Algebra Appl. To appear.
-
(2003)
Linear Algebra Appl
-
-
Kressner, D.1
-
32
-
-
17544378081
-
-
Ph.D. thesis, TU Berlin, Institut für Mathematik, Berlin, Germany
-
KRESSNER, D. 2004. Numerical methods and software for general and structured eigenvalue problems. Ph.D. thesis, TU Berlin, Institut für Mathematik, Berlin, Germany.
-
(2004)
Numerical Methods and Software for General and Structured Eigenvalue Problems
-
-
Kressner, D.1
-
34
-
-
0031532146
-
Orthosymplectic integration of linear Hamiltonian systems
-
LEIMKUHLER, B. J. AND VAN VLECK, E. S. 1997. Orthosymplectic integration of linear Hamiltonian systems. Numer. Math. 77, 2, 269-282.
-
(1997)
Numer. Math.
, vol.77
, Issue.2
, pp. 269-282
-
-
Leimkuhler, B.J.1
Van Vleck, E.S.2
-
35
-
-
0035679127
-
Structure-preserving methods for computing eigenpairs of large sparse skew-hamiltonian/Hamiltonian pencils
-
MEHRMANN, V. AND WATKINS, D. S. 2000. Structure-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils. SIAM J. Sci. Comput. 22, 6, 1905-1925.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, Issue.6
, pp. 1905-1925
-
-
Mehrmann, V.1
Watkins, D.S.2
-
36
-
-
0002765009
-
On preconditioning of matrices
-
OSBORNE, E. E. 1960. On preconditioning of matrices. J. ACM 7, 338-345.
-
(1960)
J. ACM
, vol.7
, pp. 338-345
-
-
Osborne, E.E.1
-
37
-
-
0000292291
-
Balancing a matrix for calculation of eigenvalues and eigenvectors
-
PARLETT, B. N. AND REINSCH, C. 1969. Balancing a matrix for calculation of eigenvalues and eigenvectors. Numerische Mathematik 13, 293-304.
-
(1969)
Numerische Mathematik
, vol.13
, pp. 293-304
-
-
Parlett, B.N.1
Reinsch, C.2
-
38
-
-
0003078924
-
A storage-efficient WY representation for products of Householder transformations
-
SCHREIBER, R. AND VAN LOAN, C. F. 1989. A storage-efficient WY representation for products of Householder transformations. SIAM J. Sci. Statist. Comput. 10, 1, 53-57.
-
(1989)
SIAM J. Sci. Statist. Comput.
, vol.10
, Issue.1
, pp. 53-57
-
-
Schreiber, R.1
Van Loan, C.F.2
-
40
-
-
0013157535
-
-
The MathWorks, Inc., Natick, MA
-
The MathWorks, Inc. 2002. MATLAB Version 6.5. The MathWorks, Inc., Natick, MA.
-
(2002)
MATLAB Version 6.5.
-
-
-
41
-
-
1842452339
-
-
The Working Group on Software (WGS), WGS-report 96-1
-
The Working Group on Software (WGS) 1996. SLICOT Implementation and Documentation Standards 2.1. The Working Group on Software (WGS), WGS-report 96-1. http://www.win.tua.nl/wgs/reports.html.
-
(1996)
SLICOT Implementation and Documentation Standards 2.1
-
-
-
42
-
-
0035359418
-
The quadratic eigenvalue problem
-
TISSEUR, F. AND MEERBERGEN, K. 2001. The quadratic eigenvalue problem. SIAM Rev. 43, 2, 235-286.
-
(2001)
SIAM Rev.
, vol.43
, Issue.2
, pp. 235-286
-
-
Tisseur, F.1
Meerbergen, K.2
-
43
-
-
0016665195
-
A general matrix eigenvalue algorithm
-
VAN LOAN, C. F. 1975. A general matrix eigenvalue algorithm. SIAM J. Numer. Anal. 12, 6, 819-834.
-
(1975)
SIAM J. Numer. Anal.
, vol.12
, Issue.6
, pp. 819-834
-
-
Van Loan, C.F.1
-
44
-
-
0000059741
-
A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix
-
VAN LOAN, C. F. 1984. A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix. Linear Algebra Appl. 61, 233-251.
-
(1984)
Linear Algebra Appl.
, vol.61
, pp. 233-251
-
-
Van Loan, C.F.1
-
45
-
-
21344466912
-
The transmission of shifts and shift blurring in the QR algorithm
-
WATKINS, D. S. 1996. The transmission of shifts and shift blurring in the QR algorithm. Linear Algebra Appl. 241-243, 877-896.
-
(1996)
Linear Algebra Appl.
, vol.241-243
, pp. 877-896
-
-
Watkins, D.S.1
-
47
-
-
21844491859
-
Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation
-
Xu, H. AND Lu, L. Z. 1995. Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation. Linear Algebra Appl. 222, 127-145.
-
(1995)
Linear Algebra Appl.
, vol.222
, pp. 127-145
-
-
Xu, H.1
Lu, L.Z.2
-
48
-
-
0003585352
-
-
Prentice-Hall, Upper Saddle River, NJ
-
ZHOU, K., DOYLE, J. C., AND GLOVER, K. 1996. Robust and Optimal Control. Prentice-Hall, Upper Saddle River, NJ.
-
(1996)
Robust and Optimal Control
-
-
Zhou, K.1
Doyle, J.C.2
Glover, K.3
|