-
2
-
-
0031215987
-
The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers
-
Bai Z., Demmel J., Dongarra J., Petitet A., Robinson H., Stanley K. The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. SIAM J. Sci. Comput. 18:1997;1446-1461.
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 1446-1461
-
-
Bai, Z.1
Demmel, J.2
Dongarra, J.3
Petitet, A.4
Robinson, H.5
Stanley, K.6
-
3
-
-
84949104596
-
Numerical solution of special algebraic Riccati equations via an exact line search method
-
Paper 786, BELWARE Information Technology, Waterloo, Belgium
-
P. Benner, Numerical solution of special algebraic Riccati equations via an exact line search method, in: Proc. European Control Conf. ECC 97 (CD-ROM), Paper 786, BELWARE Information Technology, Waterloo, Belgium, 1997.
-
(1997)
Proc. European Control Conf. ECC 97 (CD-ROM)
-
-
Benner, P.1
-
4
-
-
0343389560
-
Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search
-
Benner P., Byers R., Quintana-Ortí E.S., Quintana-Ortí G. Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search. Parallel Comput. 26(10):2000;1345-1368.
-
(2000)
Parallel Comput.
, vol.26
, Issue.10
, pp. 1345-1368
-
-
Benner, P.1
Byers, R.2
Quintana-Ortí, E.S.3
Quintana-Ortí, G.4
-
5
-
-
0033412866
-
Solving stable generalized Lyapunov equations with the matrix sign function
-
Benner P., Quintana-Ortí E.S. Solving stable generalized Lyapunov equations with the matrix sign function. Numer. Algorithms. 20(1):1999;75-100.
-
(1999)
Numer. Algorithms
, vol.20
, Issue.1
, pp. 75-100
-
-
Benner, P.1
Quintana-Ortí, E.S.2
-
7
-
-
0034549981
-
Balanced truncation model reduction of large-scale dense systems on parallel computers
-
Benner P., Quintana-Ortí E.S., Quintana-Ortí G. Balanced truncation model reduction of large-scale dense systems on parallel computers. Math. Comput. Model. Dyn. Syst. 6(4):2000;383-405.
-
(2000)
Math. Comput. Model. Dyn. Syst.
, vol.6
, Issue.4
, pp. 383-405
-
-
Benner, P.1
Quintana-Ortí, E.S.2
Quintana-Ortí, G.3
-
8
-
-
0242274060
-
Parallel algorithms for model reduction of discrete-time systems
-
Benner P., Quintana-Ortí E.S., Quintana-Ortí G. Parallel algorithms for model reduction of discrete-time systems. Int. J. Syst. Sci. 34(5/15):2003;319-333.
-
(2003)
Int. J. Syst. Sci.
, vol.34
, Issue.5-15
, pp. 319-333
-
-
Benner, P.1
Quintana-Ortí, E.S.2
Quintana-Ortí, G.3
-
10
-
-
0242505782
-
Experimental evaluation of the parallel model reduction routines in PSLICOT
-
August
-
P. Benner, E.S. Quintana-Ortí, G. Quintana-Ortí, Experimental evaluation of the parallel model reduction routines in PSLICOT, SLICOT Working Note 2002-7, August 2002. Available from 〈 http://www.win.tue.nl/niconet/NIC2/reports.html〉.
-
(2002)
SLICOT Working Note
, vol.2002
, Issue.7
-
-
Benner, P.1
Quintana-Ortí, E.S.2
Quintana-Ortí, G.3
-
11
-
-
0242281707
-
Numerical solution of discrete stable linear matrix equations on multicomputers
-
Benner P., Quintana-Ortí E.S., Quintana-Ortí G. Numerical solution of discrete stable linear matrix equations on multicomputers. Parallel Algorithms Appl. 17(1):2002;127-146.
-
(2002)
Parallel Algorithms Appl.
, vol.17
, Issue.1
, pp. 127-146
-
-
Benner, P.1
Quintana-Ortí, E.S.2
Quintana-Ortí, G.3
-
12
-
-
0003615167
-
-
Philadelphia, PA: SIAM
-
Blackford L.S., Choi J., Cleary A., D'Azevedo E., Demmel J., Dhillon I., Dongarra J., Hammarling S., Henry G., Petitet A., Stanley K., Walker D., Whaley R.C. ScaLAPACK Users' Guide. 1997;SIAM, Philadelphia, PA.
-
(1997)
ScaLAPACK Users' Guide
-
-
Blackford, L.S.1
Choi, J.2
Cleary, A.3
D'Azevedo, E.4
Demmel, J.5
Dhillon, I.6
Dongarra, J.7
Hammarling, S.8
Henry, G.9
Petitet, A.10
Stanley, K.11
Walker, D.12
Whaley, R.C.13
-
13
-
-
0242505804
-
Pool boiling at high heat fluxes (part I): Local temperature & heat flux fluctuations at the heater surface
-
D. Gorenflo, A. Luke (Eds.), Paderborn, Germany, October
-
M. Buchholz, T. Lüttich, H. Auracher, W. Marquardt, Pool boiling at high heat fluxes (part I): local temperature & heat flux fluctuations at the heater surface, in: D. Gorenflo, A. Luke (Eds.), Proc. Int. Refrig. Conf. Comm. B1, Paderborn, Germany, October 2001.
-
(2001)
Proc. Int. Refrig. Conf. Comm. B1
-
-
Buchholz, M.1
Lüttich, T.2
Auracher, H.3
Marquardt, W.4
-
14
-
-
38249038136
-
Solving the algebraic Riccati equation with the matrix sign function
-
Byers R. Solving the algebraic Riccati equation with the matrix sign function. Linear Algebra Appl. 85:1987;267-279.
-
(1987)
Linear Algebra Appl.
, vol.85
, pp. 267-279
-
-
Byers, R.1
-
15
-
-
0242674368
-
A collection of benchmark examples for model reduction of linear time invariant dynamical systems
-
February
-
Y. Chahlaoui, P. Van Dooren, A collection of benchmark examples for model reduction of linear time invariant dynamical systems, SLICOT Working Note 2002-2, February 2002. Available from 〈 http://www.win.tue.nl/niconet/NIC2/reports.html〉.
-
(2002)
SLICOT Working Note
, vol.2002
, Issue.2
-
-
Chahlaoui, Y.1
Van Dooren, P.2
-
16
-
-
0003408776
-
-
The MathWorks, Inc., Cochituate Place, 24 Prime Park Way, Natick, Mass 01760
-
R.Y. Chiang, M.G. Safonov, Robust Control Toolbox, For Use with MATLAB, User's Guide, Version 2, The MathWorks, Inc., Cochituate Place, 24 Prime Park Way, Natick, Mass 01760, 2000.
-
(2000)
Robust Control Toolbox, For Use with MATLAB, User's Guide, Version 2
-
-
Chiang, R.Y.1
Safonov, M.G.2
-
17
-
-
0021542280
-
A transformation approach to stochastic model reduction
-
Desai U.B., Pal D. A transformation approach to stochastic model reduction. IEEE Trans. Automat. Control. AC-29:1984;1097-1100.
-
(1984)
IEEE Trans. Automat. Control
, vol.AC-29
, pp. 1097-1100
-
-
Desai, U.B.1
Pal, D.2
-
18
-
-
0000658386
-
Reduced-order modeling techniques based on Krylov subspaces and their use in circuit simulation
-
B.N. Datta. Boston, MA: Birkhäuser. (Chapter 9)
-
Freund R. Reduced-order modeling techniques based on Krylov subspaces and their use in circuit simulation. Datta B.N. Applied and Computational Control, Signals, and Circuits, vol. 1. 1999;435-498 Birkhäuser, Boston, MA. (Chapter 9).
-
(1999)
Applied and Computational Control, Signals, and Circuits
, vol.1
, pp. 435-498
-
-
Freund, R.1
-
22
-
-
0000921740
-
Balanced stochastic realization
-
Green M. Balanced stochastic realization. Linear Algebra Appl. 98:1988;211-247.
-
(1988)
Linear Algebra Appl.
, vol.98
, pp. 211-247
-
-
Green, M.1
-
23
-
-
27544508073
-
Model reduction of state space systems via an implicitly restarted Lanczos method
-
Grimme E.J., Sorensen D.C., Van Dooren P. Model reduction of state space systems via an implicitly restarted Lanczos method. Numer. Algorithms. 12:1996;1-31.
-
(1996)
Numer. Algorithms
, vol.12
, pp. 1-31
-
-
Grimme, E.J.1
Sorensen, D.C.2
Van Dooren, P.3
-
24
-
-
0034442126
-
Parallel spectral division using the matrix sign function for the generalized eigenproblem
-
Huss S., Quintana-Ortí E.S., Sun X., Wu J. Parallel spectral division using the matrix sign function for the generalized eigenproblem. Int. J. High Speed Comput. 11(1):2000;1-14.
-
(2000)
Int. J. High Speed Comput.
, vol.11
, Issue.1
, pp. 1-14
-
-
Huss, S.1
Quintana-Ortí, E.S.2
Sun, X.3
Wu, J.4
-
26
-
-
84914965022
-
On an iterative technique for Riccati equation computations
-
Kleinman D.L. On an iterative technique for Riccati equation computations. IEEE Trans. Automat. Control. AC-13:1968;114-115.
-
(1968)
IEEE Trans. Automat. Control
, vol.AC-13
, pp. 114-115
-
-
Kleinman, D.L.1
-
28
-
-
0027543772
-
Construction of square root factor for solution of the Lyapunov matrix equation
-
Larin V.B., Aliev F.A. Construction of square root factor for solution of the Lyapunov matrix equation. Sys. Control Lett. 20:1993;109-112.
-
(1993)
Sys. Control Lett.
, vol.20
, pp. 109-112
-
-
Larin, V.B.1
Aliev, F.A.2
-
29
-
-
0023288081
-
Computation of system balancing transformations and other application of simultaneous diagonalization algorithms
-
Laub A.J., Heath M.T., Paige C.C., Ward R.C. Computation of system balancing transformations and other application of simultaneous diagonalization algorithms. IEEE Trans. Automat. Control. 34:1987;115-122.
-
(1987)
IEEE Trans. Automat. Control
, vol.34
, pp. 115-122
-
-
Laub, A.J.1
Heath, M.T.2
Paige, C.C.3
Ward, R.C.4
-
30
-
-
0037287244
-
Low rank solution of Lyapunov equations
-
Li J.-R., White J. Low rank solution of Lyapunov equations. SIAM J. Matrix Anal. Appl. 24(1):2002;260-280.
-
(2002)
SIAM J. Matrix Anal. Appl.
, vol.24
, Issue.1
, pp. 260-280
-
-
Li, J.-R.1
White, J.2
-
31
-
-
0022769212
-
Controller reduction via stable factorization and balancing
-
Liu Y., Anderson B.D.O. Controller reduction via stable factorization and balancing. Int. J. Control. 44:1986;507-531.
-
(1986)
Int. J. Control
, vol.44
, pp. 507-531
-
-
Liu, Y.1
Anderson, B.D.O.2
-
32
-
-
0019533482
-
Principal component analysis in linear systems: Controllability, observability, and model reduction
-
Moore B.C. Principal component analysis in linear systems: Controllability, observability, and model reduction. IEEE Trans. Automat. Control. AC-26:1981;17-32.
-
(1981)
IEEE Trans. Automat. Control
, vol.AC-26
, pp. 17-32
-
-
Moore, B.C.1
-
36
-
-
0000841184
-
A BLAS-3 version of the QR factorization with column pivoting
-
Quintana-Ortí G., Sun X., Bischof C.H. A BLAS-3 version of the QR factorization with column pivoting. SIAM J. Sci. Comput. 19:1998;1486-1494.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 1486-1494
-
-
Quintana-Ortí, G.1
Sun, X.2
Bischof, C.H.3
-
37
-
-
0019069037
-
Linear model reduction and solution of the algebraic Riccati equation by use of the sign function
-
Roberts J.D. Linear model reduction and solution of the algebraic Riccati equation by use of the sign function. Int. J. Control. 32:1980;677-687. (Reprint of Technical Report No. TR-13, CUED/B-Control, Cambridge University, Engineering Department, 1971).
-
(1980)
Int. J. Control
, vol.32
, pp. 677-687
-
-
Roberts, J.D.1
-
38
-
-
0019069037
-
-
CUED/B-Control, Cambridge University, Engineering Department
-
Roberts J.D. Linear model reduction and solution of the algebraic Riccati equation by use of the sign function. Int. J. Control. 32:1980;677-687. (Reprint of Technical Report No. TR-13, CUED/B-Control, Cambridge University, Engineering Department, 1971).
-
(1971)
Technical Report No. TR-13
, vol.TR-13
-
-
-
39
-
-
0024123198
-
Model reduction for robust control: A Schur relative error method
-
Safonov M.G., Chiang R.Y. Model reduction for robust control: a Schur relative error method. Int. J. Adapt. Cont. Sign. Proc. 2:1988;259-272.
-
(1988)
Int. J. Adapt. Cont. Sign. Proc.
, vol.2
, pp. 259-272
-
-
Safonov, M.G.1
Chiang, R.Y.2
-
40
-
-
0024700032
-
A Schur method for balanced-truncation model reduction
-
Safonov M.G., Chiang R.Y. A Schur method for balanced-truncation model reduction. IEEE Trans. Automat. Control. AC-34:1989;729-733.
-
(1989)
IEEE Trans. Automat. Control
, vol.AC-34
, pp. 729-733
-
-
Safonov, M.G.1
Chiang, R.Y.2
-
41
-
-
0023311397
-
Synthesis of positive real multivariable feedback systems
-
Safonov M.G., Jonckheere E.A., Verma M., Limebeer D.J.N. Synthesis of positive real multivariable feedback systems. Int. J. Control. 45(3):1987;817-842.
-
(1987)
Int. J. Control
, vol.45
, Issue.3
, pp. 817-842
-
-
Safonov, M.G.1
Jonckheere, E.A.2
Verma, M.3
Limebeer, D.J.N.4
-
42
-
-
0023439931
-
Truncated balanced realization of a stable non-minimal state-space system
-
Tombs M.S., Postlethwaite I. Truncated balanced realization of a stable non-minimal state-space system. Int. J. Control. 46(4):1987;1319-1330.
-
(1987)
Int. J. Control
, vol.46
, Issue.4
, pp. 1319-1330
-
-
Tombs, M.S.1
Postlethwaite, I.2
-
44
-
-
0026396849
-
Balancing-free square-root algorithm for computing singular perturbation approximations
-
Brighton, UK
-
A. Varga, Balancing-free square-root algorithm for computing singular perturbation approximations, in: Proc. 30th IEEE Conf. Dec. Control, Brighton, UK, 1991, pp. 1062-1065.
-
(1991)
Proc. 30th IEEE Conf. Dec. Control
, pp. 1062-1065
-
-
Varga, A.1
-
46
-
-
0242590460
-
On computing high accuracy solutions of a class of Riccati equations
-
Varga A. On computing high accuracy solutions of a class of Riccati equations. Control - Theory Adv. Technol. 10(4):1995;2005-2016.
-
(1995)
Control - Theory Adv. Technol.
, vol.10
, Issue.4
, pp. 2005-2016
-
-
Varga, A.1
-
47
-
-
0242590454
-
Task II.B.1 - Selection of software for controller reduction
-
The Working Group on Software (WGS), December
-
A. Varga, Task II.B.1 - selection of software for controller reduction, SLICOT Working Note 1999-18, The Working Group on Software (WGS), December 1999. Available from 〈http://www.win.tue.nl/niconet/NIC2/reports.html〉.
-
(1999)
SLICOT Working Note
, vol.1999
, Issue.18
-
-
Varga, A.1
-
48
-
-
0008296147
-
Model reduction software in the SLICOT library
-
Applied and Computational Control, Signals, and Circuits, B.N. Datta. Boston, MA: Kluwer Academic Publishers
-
Varga A. Model reduction software in the SLICOT library. Datta B.N. Applied and Computational Control, Signals, and Circuits. The Kluwer International Series in Engineering and Computer Science. vol. 629:2001;239-282 Kluwer Academic Publishers, Boston, MA.
-
(2001)
The Kluwer International Series in Engineering and Computer Science
, vol.629
, pp. 239-282
-
-
Varga, A.1
-
49
-
-
0004843006
-
A new square-root balancing-free stochastic truncation model reduction algorithm
-
Sydney, Australia
-
A. Varga, K.H. Fasol, A new square-root balancing-free stochastic truncation model reduction algorithm, in: Prepr. 12th IFAC World Congress, vol. 7, Sydney, Australia, 1993, pp. 153-156.
-
(1993)
Prepr. 12th IFAC World Congress
, vol.7
, pp. 153-156
-
-
Varga, A.1
Fasol, K.H.2
|