-
1
-
-
84976855597
-
Solution of the equation A X+X B = C
-
R.H. Bartels and G.W. Stewart, Solution of the equation A X+X B = C, Comm. ACM, 15(9), 1972, pp. 820-826.
-
(1972)
Comm. ACM
, vol.15
, Issue.9
, pp. 820-826
-
-
Bartels, R.H.1
Stewart, G.W.2
-
2
-
-
0003100869
-
An improved algorithm for the computation of Kronecker's canonical form of a singular pencil
-
T. Beelen and P. Van Dooren, An improved algorithm for the computation of Kronecker's canonical form of a singular pencil, Linear Algebra Appl., 105, 1988, pp. 9-65.
-
(1988)
Linear Algebra Appl
, vol.105
, pp. 9-65
-
-
Beelen, T.1
Van Dooren, P.2
-
3
-
-
0023328005
-
Lyapunov-like equations and reachability/observability Gramians for descriptor systems
-
D.J. Bender, Lyapunov-like equations and reachability/observability Gramians for descriptor systems, IEEE Trans. Automat. Control, 32, 1987, pp. 343-348.
-
(1987)
IEEE Trans. Automat. Control
, vol.32
, pp. 343-348
-
-
Bender, D.J.1
-
4
-
-
0001071425
-
SLICOT - A subroutine library in systems and control theory
-
P. Benner, V. Mehrmann, V. Sima, S. Van Huffel, and A. Varga, SLICOT - A subroutine library in systems and control theory, Appl. Comput. Control Signals Circuits, 1, 1999, pp. 499-539.
-
(1999)
Appl. Comput. Control Signals Circuits
, vol.1
, pp. 499-539
-
-
Benner, P.1
Mehrmann, V.2
Sima, V.3
Van Huffel, S.4
Varga, A.5
-
5
-
-
45949117656
-
Computing stable eigendecompositions of matrix pencils
-
J.W. Demmel and B. Kågström, Computing stable eigendecompositions of matrix pencils, Linear Algebra Appl., 88/89, 1987, pp. 139-186.
-
(1987)
Linear Algebra Appl
, vol.88-89
, pp. 139-186
-
-
Demmel, J.W.1
Kågström, B.2
-
6
-
-
0027608731
-
The generalized Schur decomposition of an arbitrary pencil A - λB: Robust software with error bounds and applications. Part I: Theory and algorithms
-
J.W. Demmel and B. Kågström, The generalized Schur decomposition of an arbitrary pencil A - λB: Robust software with error bounds and applications. Part I: Theory and algorithms, ACM Trans. Math. Software, 19(2), 1993, pp. 160-174.
-
(1993)
ACM Trans. Math. Software
, vol.19
, Issue.2
, pp. 160-174
-
-
Demmel, J.W.1
Kågström, B.2
-
7
-
-
0027609950
-
The generalized Schur decomposition of an arbitrary pencil A - λB: Robust software with error bounds and applications. Part II: Software and applications
-
J.W. Demmel and B. Kågström, The generalized Schur decomposition of an arbitrary pencil A - λB: Robust software with error bounds and applications. Part II: Software and applications, ACM Trans. Math. Software, 19(2), 1993, pp. 175-201.
-
(1993)
ACM Trans. Math. Software
, vol.19
, Issue.2
, pp. 175-201
-
-
Demmel, J.W.1
Kågström, B.2
-
8
-
-
0004236492
-
-
3rd ed, The Johns Hopkins University Press, Baltimore, London
-
G.H. Golub and C.F. Van Loan, Matrix Computations. 3rd ed, The Johns Hopkins University Press, Baltimore, London, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
9
-
-
43049181364
-
-
C. Gomez, editor, Birkhäuser, Boston, MA
-
C. Gomez, editor, Engineering and Scientific Computing with Scilab, Translations of Mathematical Monographs, 43. Birkhäuser, Boston, MA, 1999.
-
(1999)
Engineering and Scientific Computing with Scilab, Translations of Mathematical Monographs
, vol.43
-
-
-
10
-
-
0000567621
-
Numerical solution of the stable non-negative definite Lyapunov equation
-
S.J. Hammarling, Numerical solution of the stable non-negative definite Lyapunov equation, IMA J. Numer. Anal., 2, 1982, pp. 303-323.
-
(1982)
IMA J. Numer. Anal
, vol.2
, pp. 303-323
-
-
Hammarling, S.J.1
-
11
-
-
0036858519
-
On the Lyapunov theorem for singular systems
-
J.Y. Ishihara and M.H. Terra, On the Lyapunov theorem for singular systems, IEEE Trans. Automat. Control, 47, 2002, pp. 1926-1930.
-
(2002)
IEEE Trans. Automat. Control
, vol.47
, pp. 1926-1930
-
-
Ishihara, J.Y.1
Terra, M.H.2
-
12
-
-
19044380439
-
Recursive blocked algorithms for solving triangular systems - Part I: One-sided and coupled Sylvester-type matrix equations
-
I. Jonsson and B. Kågström, Recursive blocked algorithms for solving triangular systems - Part I: One-sided and coupled Sylvester-type matrix equations, ACM Trans. Math. Software, 28, 2002, pp. 392-415.
-
(2002)
ACM Trans. Math. Software
, vol.28
, pp. 392-415
-
-
Jonsson, I.1
Kågström, B.2
-
13
-
-
21844500600
-
A perturbation analysis of the generalized Sylvester equation (AR - LB, DR - LE) = (C, F)
-
B. Kågström, A perturbation analysis of the generalized Sylvester equation (AR - LB, DR - LE) = (C, F), SIAM J. Matrix Anal. Appl., 15, 1994, pp. 1045-1060.
-
(1994)
SIAM J. Matrix Anal. Appl
, vol.15
, pp. 1045-1060
-
-
Kågström, B.1
-
14
-
-
0041103179
-
Computing eigenspaces with specified eigenvalues of a regular matrix pencil (A, B) and condition estimation: Theory, algorithms and software
-
B. Kågström and P. Poromaa, Computing eigenspaces with specified eigenvalues of a regular matrix pencil (A, B) and condition estimation: Theory, algorithms and software, Numerical Algorithms, 12, 1996, pp. 369-407.
-
(1996)
Numerical Algorithms
, vol.12
, pp. 369-407
-
-
Kågström, B.1
Poromaa, P.2
-
15
-
-
0024700168
-
Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
-
B. Kågström and L. Westin, Generalized Schur methods with condition estimators for solving the generalized Sylvester equation, IEEE Trans. Automat. Control, 34, 1989, pp. 745-751.
-
(1989)
IEEE Trans. Automat. Control
, vol.34
, pp. 745-751
-
-
Kågström, B.1
Westin, L.2
-
16
-
-
0022945161
-
A survey of linear singular systems
-
F.L. Lewis. A survey of linear singular systems, Circuits Systems Signal Process, 5, 1986, pp. 3-36.
-
(1986)
Circuits Systems Signal Process
, vol.5
, pp. 3-36
-
-
Lewis, F.L.1
-
17
-
-
43049159135
-
-
Katholieke Universiteit Leuven, Leuven, Belgium
-
V. Mehrmann, V. Sima, A. Varga, and H. Xu, A MATLAB MEX-file environment of SLICOT, SLICOT Working Note 1999-11, Katholieke Universiteit Leuven, Leuven, Belgium, 1999.
-
(1999)
A MATLAB MEX-file environment of SLICOT. SLICOT Working Note 1999-11
-
-
Mehrmann, V.1
Sima, V.2
Varga, A.3
Xu, H.4
-
18
-
-
0032342953
-
Numerical solution of generalized Lyapunov equations
-
T. Penzl, Numerical solution of generalized Lyapunov equations, Adv. Comput. Math., 8, 1998, pp. 33-48.
-
(1998)
Adv. Comput. Math
, vol.8
, pp. 33-48
-
-
Penzl, T.1
-
19
-
-
43049176237
-
-
Katholieke Universiteit Leuven, Leuven, Belgium
-
M. Slowik, P. Benner, and V. Sima, Evaluation of the linear matrix equation solvers in SLICOT, SLICOT Working Note 2004-1, Katholieke Universiteit Leuven, Leuven, Belgium, 2004.
-
(2004)
Evaluation of the linear matrix equation solvers in SLICOT. SLICOT Working Note
, pp. 2004-2011
-
-
Slowik, M.1
Benner, P.2
Sima, V.3
-
21
-
-
2342653108
-
-
Ph.D. thesis, Institut für Mathematik, Technische Universität Berlin, Berlin, Germany
-
T. Stykel, Analysis and Numerical Solution of Generalized Lyapunov Equations, Ph.D. thesis, Institut für Mathematik, Technische Universität Berlin, Berlin, Germany, 2002.
-
(2002)
Analysis and Numerical Solution of Generalized Lyapunov Equations
-
-
Stykel, T.1
-
22
-
-
31244438168
-
Numerical solution and perturbation theory for generalized Lyapunov equations
-
T. Stykel, Numerical solution and perturbation theory for generalized Lyapunov equations, Linear Algebra Appl., 349, 2002, pp. 155-185.
-
(2002)
Linear Algebra Appl
, vol.349
, pp. 155-185
-
-
Stykel, T.1
-
23
-
-
1642395247
-
Stability and inertia theorems for generalized Lyapunov equations
-
T. Stykel, Stability and inertia theorems for generalized Lyapunov equations, Linear Algebra Appl., 355, 2002, pp. 297-314.
-
(2002)
Linear Algebra Appl
, vol.355
, pp. 297-314
-
-
Stykel, T.1
-
24
-
-
2342512219
-
Gramian-based model reduction for descriptor systems
-
T. Stykel, Gramian-based model reduction for descriptor systems, Math. Control Signals Systems, 16, 2004, pp. 297-319.
-
(2004)
Math. Control Signals Systems
, vol.16
, pp. 297-319
-
-
Stykel, T.1
-
25
-
-
33646908210
-
On some norms for descriptor systems
-
T. Stykel, On some norms for descriptor systems, IEEE Trans. Automat. Control, 51(5), 2006, pp. 842-847.
-
(2006)
IEEE Trans. Automat. Control
, vol.51
, Issue.5
, pp. 842-847
-
-
Stykel, T.1
-
26
-
-
0029246727
-
On the discrete generalized Lyapunov equation
-
V.L. Syrmos, P. Misra, and R. Aripirala, On the discrete generalized Lyapunov equation, Automatica, 31, 1995, pp. 297-301.
-
(1995)
Automatica
, vol.31
, pp. 297-301
-
-
Syrmos, V.L.1
Misra, P.2
Aripirala, R.3
-
27
-
-
0029639903
-
A generalized Lyapunov theorem for descriptor system
-
K. Takaba, N. Morihira, and T. Katayama, A generalized Lyapunov theorem for descriptor system, Systems Control Lett., 24, 1995, pp. 49-51.
-
(1995)
Systems Control Lett
, vol.24
, pp. 49-51
-
-
Takaba, K.1
Morihira, N.2
Katayama, T.3
-
28
-
-
84964001465
-
SLICOT and control systems numerical software packages
-
September 18-20, Glasgow, Scotland
-
S. Van Huffel and V. Sima, SLICOT and control systems numerical software packages, in Proceedings of the 2002 IEEE International Conference on Control Applications and IEEE International Symposium on Computer Aided Control System Design, (CCA/CACSD 2002, September 18-20, 2002, Glasgow, Scotland), 2002, pp. 39-44.
-
(2002)
Proceedings of the 2002 IEEE International Conference on Control Applications and IEEE International Symposium on Computer Aided Control System Design, (CCA/CACSD 2002
, pp. 39-44
-
-
Van Huffel, S.1
Sima, V.2
-
29
-
-
0042528119
-
Computation of coprime factorizations of rational matrices
-
A. Varga, Computation of coprime factorizations of rational matrices, Linear Algebra Appl., 271, 1998, pp. 83-115.
-
(1998)
Linear Algebra Appl
, vol.271
, pp. 83-115
-
-
Varga, A.1
-
30
-
-
0041911280
-
Performance of the QZ algorithm in the presence of infinite eigenvalues
-
D.S. Watkins, Performance of the QZ algorithm in the presence of infinite eigenvalues, SIAM J. Matrix Anal. Appl., 22, 2000, pp. 364-375.
-
(2000)
SIAM J. Matrix Anal. Appl
, vol.22
, pp. 364-375
-
-
Watkins, D.S.1
-
31
-
-
0033322623
-
Lyapunov and Riccati equations for discrete-time descriptor systems
-
L. Zhang, J. Lam, and Q. Zhang, Lyapunov and Riccati equations for discrete-time descriptor systems, IEEE Trans. Automat. Control, 44, 1999, pp. 2134-2139.
-
(1999)
IEEE Trans. Automat. Control
, vol.44
, pp. 2134-2139
-
-
Zhang, L.1
Lam, J.2
Zhang, Q.3
|