-
2
-
-
84976855597
-
Solution of the matrix equation AX + XB = C: Algorithm 432
-
Bartels R.H., and Stewart G.W. Solution of the matrix equation AX + XB = C: Algorithm 432. Comm. ACM 15 (1972) 820-826
-
(1972)
Comm. ACM
, vol.15
, pp. 820-826
-
-
Bartels, R.H.1
Stewart, G.W.2
-
3
-
-
0032644014
-
Parallel distributed solvers for large stable generalized Lyapunov equations
-
Benner P., Claver J., and Quintana-Orti E. Parallel distributed solvers for large stable generalized Lyapunov equations. Parallel Process. Lett. 9 (1999) 147-158
-
(1999)
Parallel Process. Lett.
, vol.9
, pp. 147-158
-
-
Benner, P.1
Claver, J.2
Quintana-Orti, E.3
-
4
-
-
0034549981
-
Balanced truncation model reduction of large-scale dense systems on parallel computers
-
Benner P., Quintana-Orti E., and Quintana-Orti 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-Orti, E.2
Quintana-Orti, G.3
-
5
-
-
0001803542
-
Several strategies for reducing the bandwidth of matrices
-
Rose D.J., and Willoughby R.A. (Eds), Plenum Press, New York
-
Cuthill E. Several strategies for reducing the bandwidth of matrices. In: Rose D.J., and Willoughby R.A. (Eds). Sparse Matrices and Their Applications (1972), Plenum Press, New York
-
(1972)
Sparse Matrices and Their Applications
-
-
Cuthill, E.1
-
6
-
-
84913254073
-
A method for simplifying linear dynamic systems
-
Davison E. A method for simplifying linear dynamic systems. IEEE Trans. Automat. Control 11 (1966) 93-101
-
(1966)
IEEE Trans. Automat. Control
, vol.11
, pp. 93-101
-
-
Davison, E.1
-
7
-
-
0021641650
-
-
D. Enns, Model reduction with balanced realizations: an error bound and a frequency weighted generalization, in: Proc. of the 23rd IEEE Conference on Decision and Control, Las Vegas, 1984, pp. 127-132.
-
-
-
-
8
-
-
0029308198
-
Efficient linear circuit analysis by Padé approximation via the Lanczos process
-
See also, Proc. EURO-DAC '94 with EURO-VHDL '94, IEEE Computer Society Press, Los Alamitos, CA, 1994, pp. 170-175
-
Feldmann P., and Freund R. Efficient linear circuit analysis by Padé approximation via the Lanczos process. IEEE Trans. Computer-Aided Design 14 (1995) 639-649 See also, Proc. EURO-DAC '94 with EURO-VHDL '94, IEEE Computer Society Press, Los Alamitos, CA, 1994, pp. 170-175
-
(1995)
IEEE Trans. Computer-Aided Design
, vol.14
, pp. 639-649
-
-
Feldmann, P.1
Freund, R.2
-
9
-
-
0001249457
-
Singular perturbational model reduction of balanced systems
-
Fernando K.V., and Nicholson H. Singular perturbational model reduction of balanced systems. IEEE Trans. Automat. Control 27 (1982) 466-468
-
(1982)
IEEE Trans. Automat. Control
, vol.27
, pp. 466-468
-
-
Fernando, K.V.1
Nicholson, H.2
-
10
-
-
0000658386
-
Reduced-order modeling techniques based on Krylov subspaces and their use in circuit simulation
-
Datta B.N. (Ed), Birkhäuser, Boston, MA (Chapter 9)
-
Freund R. Reduced-order modeling techniques based on Krylov subspaces and their use in circuit simulation. In: Datta B.N. (Ed). Applied and Computational Control, Signals, and Circuits vol. 1 (1999), Birkhäuser, Boston, MA 435-498 (Chapter 9)
-
(1999)
Applied and Computational Control, Signals, and Circuits
, vol.1
, pp. 435-498
-
-
Freund, R.1
-
13
-
-
0026402189
-
Parallel algorithms for algebraic Riccati equations
-
Gardiner J.D., and Laub A.J. Parallel algorithms for algebraic Riccati equations. Internat. J. Control 54 (1991) 1317-1333
-
(1991)
Internat. J. Control
, vol.54
, pp. 1317-1333
-
-
Gardiner, J.D.1
Laub, A.J.2
-
14
-
-
0004765378
-
Reduction of a general matrix to tridiagonal form
-
Geist G.A. Reduction of a general matrix to tridiagonal form. SIAM J. Matrix Anal. Appl. 12 (1991) 362-373
-
(1991)
SIAM J. Matrix Anal. Appl.
, vol.12
, pp. 362-373
-
-
Geist, G.A.1
-
17
-
-
0000336815
-
Matrix interpretations and applications of the continued fraction algorithm
-
Gragg W. Matrix interpretations and applications of the continued fraction algorithm. Rocky Mountain J. Math. 4 (1974) 213-225
-
(1974)
Rocky Mountain J. Math.
, vol.4
, pp. 213-225
-
-
Gragg, W.1
-
18
-
-
0028439250
-
Approximate solution of large sparse Lyapunov equations
-
Gudmundsson T., and Laub A.J. Approximate solution of large sparse Lyapunov equations. IEEE Trans. Automat. Control 39 (1994) 1110-1114
-
(1994)
IEEE Trans. Automat. Control
, vol.39
, pp. 1110-1114
-
-
Gudmundsson, T.1
Laub, A.J.2
-
19
-
-
0000567621
-
Numerical solution of the stable, non-negative definite Lyapunov equation
-
Hammarling S.J. Numerical solution of the stable, non-negative definite Lyapunov equation. IMA J. Numer. Anal. 2 (1982) 303-323
-
(1982)
IMA J. Numer. Anal.
, vol.2
, pp. 303-323
-
-
Hammarling, S.J.1
-
20
-
-
0030556718
-
Numerical solution of the Lyapunov equation by approximate power iteration
-
Hodel A.S., Poolla K.P., and Tenison B. Numerical solution of the Lyapunov equation by approximate power iteration. Linear Algebra Appl. 236 (1996) 205-230
-
(1996)
Linear Algebra Appl.
, vol.236
, pp. 205-230
-
-
Hodel, A.S.1
Poolla, K.P.2
Tenison, B.3
-
21
-
-
38249011246
-
Krylov-subspace methods for the Sylvester equation
-
Hu D.Y., and Reichel L. Krylov-subspace methods for the Sylvester equation. Linear Algebra Appl. 172 (1992) 283-313
-
(1992)
Linear Algebra Appl.
, vol.172
, pp. 283-313
-
-
Hu, D.Y.1
Reichel, L.2
-
22
-
-
33646162328
-
Iterative model reduction of large state-space systems
-
Huhtanen M. Iterative model reduction of large state-space systems. Int. J. Appl. Math. Comput. Sci. 9 (1999) 245-263
-
(1999)
Int. J. Appl. Math. Comput. Sci.
, vol.9
, pp. 245-263
-
-
Huhtanen, M.1
-
23
-
-
0031259374
-
A general minimal residual Krylov subspace method for large scale model reduction
-
Jaimoukha I.M. A general minimal residual Krylov subspace method for large scale model reduction. IEEE Trans. Automat. Control 42 (1997) 1422-1427
-
(1997)
IEEE Trans. Automat. Control
, vol.42
, pp. 1422-1427
-
-
Jaimoukha, I.M.1
-
24
-
-
0028377922
-
Krylov subspace methods for solving large Lyapunov equations
-
Jaimoukha I.M., and Kasenally E.M. Krylov subspace methods for solving large Lyapunov equations. SIAM J. Numer. Anal. 31 (1994) 227-251
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 227-251
-
-
Jaimoukha, I.M.1
Kasenally, E.M.2
-
25
-
-
0005279528
-
Oblique projection methods for large scale model reduction
-
Jaimoukha I.M., and Kasenally E.M. Oblique projection methods for large scale model reduction. SIAM J. Matrix Anal. Appl. 16 (1995) 602-627
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 602-627
-
-
Jaimoukha, I.M.1
Kasenally, E.M.2
-
26
-
-
0031529239
-
Implicitly restarted Krylov subspace methods for stable partial realizations
-
Jaimoukha I.M., and Kasenally E.M. Implicitly restarted Krylov subspace methods for stable partial realizations. SIAM J. Matrix Anal. Appl. 18 (1997) 633-652
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 633-652
-
-
Jaimoukha, I.M.1
Kasenally, E.M.2
-
27
-
-
0033079491
-
8 aromatics separation using asymptotically exact input/output-linearization
-
8 aromatics separation using asymptotically exact input/output-linearization. J. Process Control 9 (1999) 41-50
-
(1999)
J. Process Control
, vol.9
, pp. 41-50
-
-
Kloppenburg, E.1
Gilles, E.D.2
-
28
-
-
0000321992
-
Explicit solutions of linear matrix equations
-
Lancaster P. Explicit solutions of linear matrix equations. SIAM Rev. 12 (1970) 544-566
-
(1970)
SIAM Rev.
, vol.12
, pp. 544-566
-
-
Lancaster, P.1
-
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 26 (1981) 17-31
-
(1981)
IEEE Trans. Automat. Control
, vol.26
, pp. 17-31
-
-
Moore, B.C.1
-
33
-
-
0017272492
-
Roundoff noise in digital filters: frequency transformations and invariants
-
Mullis C., and Roberts R. Roundoff noise in digital filters: frequency transformations and invariants. IEEE Trans. Acoustics, Speech, and Sign. Proc. 24 (1976) 538-550
-
(1976)
IEEE Trans. Acoustics, Speech, and Sign. Proc.
, vol.24
, pp. 538-550
-
-
Mullis, C.1
Roberts, R.2
-
34
-
-
0002058827
-
The numerical solution of elliptic and parabolic differential equations
-
Peaceman D., and Rachford H. The numerical solution of elliptic and parabolic differential equations. J. Soc. Indust. Appl. Math. 3 (1955) 28-41
-
(1955)
J. Soc. Indust. Appl. Math.
, vol.3
, pp. 28-41
-
-
Peaceman, D.1
Rachford, H.2
-
35
-
-
0033295674
-
A cyclic low rank Smith method for large sparse Lyapunov equations
-
Penzl T. A cyclic low rank Smith method for large sparse Lyapunov equations. SIAM J. Sci. Comput. 21 4 (2000) 1401-1418
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, Issue.4
, pp. 1401-1418
-
-
Penzl, T.1
-
36
-
-
0001082478
-
Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case
-
Penzl T. Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case. Sys. Control Lett. 40 (2000) 139-144
-
(2000)
Sys. Control Lett.
, vol.40
, pp. 139-144
-
-
Penzl, T.1
-
38
-
-
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. Internat. J. Control 32 (1980) 677-687
-
(1980)
Internat. J. Control
, vol.32
, pp. 677-687
-
-
Roberts, J.D.1
-
39
-
-
0000175612
-
Numerical solution of large Lyapunov equations
-
Kaashoek M.A., Van Schuppen J.H., and Ran A.C.M. (Eds), Birkhäuser, Boston, MA
-
Saad Y. Numerical solution of large Lyapunov equations. In: Kaashoek M.A., Van Schuppen J.H., and Ran A.C.M. (Eds). Signal Processing, Scattering, Operator Theory and Numerical Methods (1990), Birkhäuser, Boston, MA 503-511
-
(1990)
Signal Processing, Scattering, Operator Theory and Numerical Methods
, pp. 503-511
-
-
Saad, Y.1
-
41
-
-
0024700032
-
A Schur method for balanced-truncation model reduction
-
Safonov M.G., and Chiang R.Y. A Schur method for balanced-truncation model reduction. IEEE Trans. Automat. Control 34 (1989) 729-733
-
(1989)
IEEE Trans. Automat. Control
, vol.34
, pp. 729-733
-
-
Safonov, M.G.1
Chiang, R.Y.2
-
42
-
-
0001273713
-
Tridiagonalization of a symmetric band matrix
-
Schwarz H.R. Tridiagonalization of a symmetric band matrix. Numer. Math. 12 (1968) 231-241
-
(1968)
Numer. Math.
, vol.12
, pp. 231-241
-
-
Schwarz, H.R.1
-
43
-
-
0016484144
-
Model reduction using the Routh stability criterion and the Padé approximation technique
-
Shamash Y. Model reduction using the Routh stability criterion and the Padé approximation technique. Internat. J. Control 21 (1975) 475-484
-
(1975)
Internat. J. Control
, vol.21
, pp. 475-484
-
-
Shamash, Y.1
-
44
-
-
0003636272
-
-
Marcel Dekker, New York
-
Sima V. Algorithms for Linear-Quadratic Optimization. Pure and Applied Mathematics (1996), Marcel Dekker, New York
-
(1996)
Pure and Applied Mathematics
-
-
Sima, V.1
-
46
-
-
0001052499
-
Matrix equation XA + BX = C
-
Smith R.A. Matrix equation XA + BX = C. SIAM J. Appl. Math. 16 (1968)
-
(1968)
SIAM J. Appl. Math.
, vol.16
-
-
Smith, R.A.1
-
47
-
-
0023439931
-
Truncated balanced realization of stable, non-minimal state-space systems
-
Tombs M.S., and Postlethwaite I. Truncated balanced realization of stable, non-minimal state-space systems. Internat. J. Control 46 (1987) 1319-1330
-
(1987)
Internat. J. Control
, vol.46
, pp. 1319-1330
-
-
Tombs, M.S.1
Postlethwaite, I.2
-
48
-
-
23044526958
-
Fast solution of optimal control problems in the selective cooling of steel
-
Tröltzsch F., and Unger A. Fast solution of optimal control problems in the selective cooling of steel. Z. Angew. Math. Mech. 81 (2001) 447-456
-
(2001)
Z. Angew. Math. Mech.
, vol.81
, pp. 447-456
-
-
Tröltzsch, F.1
Unger, A.2
-
49
-
-
33646148860
-
-
A. Varga, Efficient minimal realization procedure based on balancing, in: A. El Moudni, P. Borne, S. Tzafestas (Eds.), Prepr. of IMACS Symp. on Modelling and Control of Technological Systems, vol. 2, 1991, pp. 42-49.
-
-
-
-
50
-
-
38249030580
-
Iterative solution of the Lyapunov matrix equation
-
Wachspress E.L. Iterative solution of the Lyapunov matrix equation. Appl. Math. Lett. 1 (1988) 87-90
-
(1988)
Appl. Math. Lett.
, vol.1
, pp. 87-90
-
-
Wachspress, E.L.1
|