-
3
-
-
43049173308
-
Dimension Reduction of Large-Scale Systems
-
P. Benner, V. Mehrmann, and D. Sorensen, Eds, Springer-Verlag, Berlin/Heidelberg, Germany
-
P. Benner, V. Mehrmann, and D. Sorensen, Eds., Dimension Reduction of Large-Scale Systems, ser. Lecture Notes in Computational Science and Engineering. Springer-Verlag, Berlin/Heidelberg, Germany, 2005, vol. 45.
-
(2005)
ser. Lecture Notes in Computational Science and Engineering
, vol.45
-
-
-
4
-
-
13844273168
-
Model reduction methods based on Krylov subspaces
-
R. Freund, "Model reduction methods based on Krylov subspaces," Acta Numerica, vol. 12, pp. 267-319, 2003.
-
(2003)
Acta Numerica
, vol.12
, pp. 267-319
-
-
Freund, R.1
-
5
-
-
0036776433
-
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
-
Z. Bai, "Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems," Appl. Numer. Math, vol. 43, no. 1-2, pp. 9-44, 2002.
-
(2002)
Appl. Numer. Math
, vol.43
, Issue.1-2
, pp. 9-44
-
-
Bai, Z.1
-
6
-
-
0001071425
-
SLICOT - a subroutine library in systems and control theory
-
B. Datta, Ed. Boston, MA: Birkhäuser, ch. 10, pp
-
P. Benner, V. Mehrmann, V. Sima, S. V. Huffel, and A. Varga, "SLICOT - a subroutine library in systems and control theory," in Applied and Computational Control Signals, and Circuits, B. Datta, Ed. Boston, MA: Birkhäuser, 1999, vol. 1, ch. 10, pp. 499-539.
-
(1999)
Applied and Computational Control Signals, and Circuits
, vol.1
, pp. 499-539
-
-
Benner, P.1
Mehrmann, V.2
Sima, V.3
Huffel, S.V.4
Varga, A.5
-
7
-
-
0008296147
-
Model reduction software in the SLICOT library
-
B. Datta, Ed. Boston, MA: Kluwer Academic Publishers
-
A. Varga, "Model reduction software in the SLICOT library," in Applied and Computational Control Signals, and Circuits, B. Datta, Ed. Boston, MA: Kluwer Academic Publishers, 2001, pp. 239-282.
-
(2001)
Applied and Computational Control Signals, and Circuits
, pp. 239-282
-
-
Varga, A.1
-
8
-
-
0242674368
-
A collection of benchmark examples for model reduction of linear time invariant dynamical systems
-
Feb, available from
-
Y. Chahlaoui and P. Van Dooren, "A collection of benchmark examples for model reduction of linear time invariant dynamical systems," SLICOT Working Note 2002-2, Feb. 2002, available from www.slicot.de.
-
(2002)
SLICOT Working Note
, vol.2002 -2
-
-
Chahlaoui, Y.1
Van Dooren, P.2
-
9
-
-
43049154412
-
-
P. Benner and E. Quintana-Ortí, Model reduction based on spectral projection methods, chapter 1 (pages 5-48) of [3].
-
P. Benner and E. Quintana-Ortí, "Model reduction based on spectral projection methods," chapter 1 (pages 5-48) of [3].
-
-
-
-
10
-
-
0004236492
-
-
3rd ed. Baltimore: Johns Hopkins University Press
-
G. Golub and C. Van Loan, Matrix Computations, 3rd ed. Baltimore: Johns Hopkins University Press, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.1
Van Loan, C.2
-
11
-
-
0019069037
-
-
J. Roberts, Linear model reduction and solution of the algebraic Riccati equation by use of the sign function, Internat. J. Control, 32, pp. 677-687, 1980, (Reprint of Technical Report No. TR-13, CUED/B-Control, Cambridge University, Engrg. Dept., 1971).
-
J. Roberts, "Linear model reduction and solution of the algebraic Riccati equation by use of the sign function," Internat. J. Control, vol. 32, pp. 677-687, 1980, (Reprint of Technical Report No. TR-13, CUED/B-Control, Cambridge University, Engrg. Dept., 1971).
-
-
-
-
12
-
-
33746621687
-
Solving stable Sylvester equations via rational iterative schemes
-
electronic, DOI: 10.1007/s10915-005-9007-2
-
P. Benner, E. Quintana-Ortí, and G. Quintana-Ortí, "Solving stable Sylvester equations via rational iterative schemes," J. Sci. Comp., 2005 (electronic), DOI: 10.1007/s10915-005-9007-2.
-
(2005)
J. Sci. Comp
-
-
Benner, P.1
Quintana-Ortí, E.2
Quintana-Ortí, G.3
-
13
-
-
0001692403
-
Computing the polar decomposition - with applications
-
N. Higham, "Computing the polar decomposition - with applications," SIAM J. Sci. Statist. Comput., vol. 7, pp. 1160-1174, 1986.
-
(1986)
SIAM J. Sci. Statist. Comput
, vol.7
, pp. 1160-1174
-
-
Higham, N.1
-
15
-
-
0033412866
-
Solving stable generalized Lyapunov equations with the matrix sign function
-
P. Benner and E. Quintana-Ortí, "Solving stable generalized Lyapunov equations with the matrix sign function," Numer. Algorithms, vol. 20, no. 1, pp. 75-100, 1999.
-
(1999)
Numer. Algorithms
, vol.20
, Issue.1
, pp. 75-100
-
-
Benner, P.1
Quintana-Ortí, E.2
-
17
-
-
43049159134
-
Numerical linear algebra for model reduction in control and simulation
-
to appear, See for a preprint
-
_, "Numerical linear algebra for model reduction in control and simulation," GAMM Mitt., to appear, See http://www.mathematik.tu- chemnitz.de/preprint/2005/PREPRINT_18.html for a preprint.
-
GAMM Mitt
-
-
Gantmacher, F.1
-
18
-
-
0019533482
-
Principal component analysis in linear systems: Controllability, observability, and model reduction
-
B. Moore, "Principal component analysis in linear systems: Controllability, observability, and model reduction," IEEE Trans. Automat. Control, vol. AC-26, pp. 17-32, 1981.
-
(1981)
IEEE Trans. Automat. Control
, vol.AC-26
, pp. 17-32
-
-
Moore, B.1
-
19
-
-
0023288081
-
Computation of system balancing transformations and other application of simultaneous diagonalization algorithms
-
A. Laub, M. Heath, C. Paige, and R. Ward, "Computation of system balancing transformations and other application of simultaneous diagonalization algorithms," IEEE Trans. Automat. Control, vol. 34, pp. 115-122, 1987.
-
(1987)
IEEE Trans. Automat. Control
, vol.34
, pp. 115-122
-
-
Laub, A.1
Heath, M.2
Paige, C.3
Ward, R.4
-
20
-
-
0023439931
-
Truncated balanced realization of a stable non-minimal state-space system
-
M. Tombs and I. Postlethwaite, "Truncated balanced realization of a stable non-minimal state-space system," Internat. J. Control, vol. 46, no. 4, pp. 1319-1330, 1987.
-
(1987)
Internat. J. Control
, vol.46
, Issue.4
, pp. 1319-1330
-
-
Tombs, M.1
Postlethwaite, I.2
-
21
-
-
0034549981
-
Balanced truncation model reduction of large-scale dense systems on parallel computers
-
P. Benner, E. Quintana-Ortí, and G. Quintana-Ortí, "Balanced truncation model reduction of large-scale dense systems on parallel computers," Math. Comput. Model. Dyn. Syst., vol. 6, no. 4, pp. 383-405, 2000.
-
(2000)
Math. Comput. Model. Dyn. Syst
, vol.6
, Issue.4
, pp. 383-405
-
-
Benner, P.1
Quintana-Ortí, E.2
Quintana-Ortí, G.3
-
22
-
-
0026254257
-
Balanced parametrizations of classes of linear systems
-
R. Ober, "Balanced parametrizations of classes of linear systems," SIAM J. Cont. Optim., vol. 29, pp. 1251-1287, 1991.
-
(1991)
SIAM J. Cont. Optim
, vol.29
, pp. 1251-1287
-
-
Ober, R.1
-
23
-
-
4544354870
-
A survey of model reduction by balanced truncation and some new results
-
S. Gugercin and A. Antoulas, "A survey of model reduction by balanced truncation and some new results," Internat. J. Control, vol. 77, no. 8, pp. 748-766, 2004.
-
(2004)
Internat. J. Control
, vol.77
, Issue.8
, pp. 748-766
-
-
Gugercin, S.1
Antoulas, A.2
-
24
-
-
0021542280
-
A transformation approach to stochastic model reduction
-
U. Desai and D. Pal, "A transformation approach to stochastic model reduction," IEEE Trans. Automat. Control, vol. AC-29, pp. 1097-1100, 1984.
-
(1984)
IEEE Trans. Automat. Control
, vol.AC-29
, pp. 1097-1100
-
-
Desai, U.1
Pal, D.2
-
25
-
-
0000921740
-
Balanced stochastic realization
-
M. Green, "Balanced stochastic realization," Linear Algebra Appl., vol. 98, pp. 211-247, 1988.
-
(1988)
Linear Algebra Appl
, vol.98
, pp. 211-247
-
-
Green, M.1
-
26
-
-
0020829073
-
A new set of invariants for linear systems - application to reduced order compensator
-
E. Jonckheere and L. Silverman, "A new set of invariants for linear systems - application to reduced order compensator," IEEE Trans. Automat. Control, vol. AC-28, pp. 953-964, 1983.
-
(1983)
IEEE Trans. Automat. Control
, vol.AC-28
, pp. 953-964
-
-
Jonckheere, E.1
Silverman, L.2
-
27
-
-
43049177785
-
-
Y. Chahlaoui and P. Van Dooren, Benchmark examples for model reduction of linear time-invariant dynamical systems, chapter 24 (pages 379-392) of [3].
-
Y. Chahlaoui and P. Van Dooren, "Benchmark examples for model reduction of linear time-invariant dynamical systems," chapter 24 (pages 379-392) of [3].
-
-
-
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