-
1
-
-
84976855597
-
Algorithm 432: Solution of the matrix equation AX + XB = C
-
R. H. Bartels and G. W. Stewart, Algorithm 432: Solution of the matrix equation AX + XB = C, Comm. ACM, 15 (1972), pp. 820-826.
-
(1972)
Comm. ACM
, vol.15
, pp. 820-826
-
-
Bartels, R.H.1
Stewart, G.W.2
-
2
-
-
51249161441
-
Krylov space methods on state-space control models
-
D. L. Boley, Krylov space methods on state-space control models, Circ. Syst. & Signal Proc., 13 (1994), pp. 733-758.
-
(1994)
Circ. Syst. & Signal Proc.
, vol.13
, pp. 733-758
-
-
Boley, D.L.1
-
4
-
-
38249041276
-
Computing stable eigendecomposition of matrices
-
J. Demmel, Computing stable eigendecomposition of matrices, Linear Algebra Appl., 79 (1986), pp. 163-193.
-
(1986)
Linear Algebra Appl.
, vol.79
, pp. 163-193
-
-
Demmel, J.1
-
5
-
-
0000875808
-
Controllability, observability and the solution of AX - XB = C
-
E. de Souza and S. P. Bhattacharyya, Controllability, observability and the solution of AX - XB = C, Linear Algebra Appl., 39 (1981), pp. 167-188.
-
(1981)
Linear Algebra Appl.
, vol.39
, pp. 167-188
-
-
De Souza, E.1
Bhattacharyya, S.P.2
-
6
-
-
0001031880
-
A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems
-
R. W. Freund, A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems, SIAM J. Sci. Cornput., 14 (1993), pp. 470-482.
-
(1993)
SIAM J. Sci. Cornput.
, vol.14
, pp. 470-482
-
-
Freund, R.W.1
-
7
-
-
0003947818
-
-
Academic Press, New York
-
I. Gohberg, L. Rodman, and P. Lancaster, Matrix Polynomials, Academic Press, New York, 1982.
-
(1982)
Matrix Polynomials
-
-
Gohberg, I.1
Rodman, L.2
Lancaster, P.3
-
8
-
-
0018721357
-
A Hessenberg-Schur method for the problem AX + XB = C
-
G. H. Golub, S. Nash, and C. Van Loan, A Hessenberg-Schur method for the problem AX + XB = C, IEEE Trans. Autom. Contr., AC-24 (1979), pp. 909-913.
-
(1979)
IEEE Trans. Autom. Contr.
, vol.AC-24
, pp. 909-913
-
-
Golub, G.H.1
Nash, S.2
Van Loan, C.3
-
9
-
-
0015368704
-
Resultants and the solution of AX - XB = -C
-
R. E. Hartwig, Resultants and the solution of AX - XB = -C, SIAM J. Appl. Math., 23 (1972), pp. 104-117.
-
(1972)
SIAM J. Appl. Math.
, vol.23
, pp. 104-117
-
-
Hartwig, R.E.1
-
10
-
-
0012031958
-
Nonsingular solutions of TA - BT = C
-
J. Z. Hearon, Nonsingular solutions of TA - BT = C, Linear Algebra Appl., 16 (1977), pp. 57-63.
-
(1977)
Linear Algebra Appl.
, vol.16
, pp. 57-63
-
-
Hearon, J.Z.1
-
11
-
-
0001045175
-
Perturbation theory and backward error for AX - XB = C
-
N. J. Higham, Perturbation theory and backward error for AX - XB = C, BIT, 33 (1993), pp. 124-136.
-
(1993)
BIT
, vol.33
, pp. 124-136
-
-
Higham, N.J.1
-
12
-
-
0003492388
-
The Test Matrix Toolbox for Matlab
-
Manchester Centre for Computational Mathematics, University of Manchester, UK
-
N. J. Higham, The Test Matrix Toolbox for Matlab, Tech. Report 237, Manchester Centre for Computational Mathematics, University of Manchester, UK, 1993.
-
(1993)
Tech. Report 237
-
-
Higham, N.J.1
-
13
-
-
21844518401
-
Preconditioned Krylov subspace methods for Lyapunov matrix equations
-
M. Hochbruck and G. Starke, Preconditioned Krylov subspace methods for Lyapunov matrix equations, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 156-171.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 156-171
-
-
Hochbruck, M.1
Starke, G.2
-
15
-
-
38249011246
-
Krylov subspace methods for the Sylvester equation
-
D. Y. Hu and L. Reichel, Krylov subspace methods for the Sylvester equation, Linear Algebra Appl., 174 (1992), pp. 283-314.
-
(1992)
Linear Algebra Appl.
, vol.174
, pp. 283-314
-
-
Hu, D.Y.1
Reichel, L.2
-
16
-
-
0028377922
-
Krylov subspace methods for solving large Lyapunov equations
-
I. M. Jaimoukha and E. M. Kasenally, Krylov subspace methods for solving large Lyapunov equations, SIAM J. Numer. Anal., 31 (1994), pp. 227-251.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 227-251
-
-
Jaimoukha, I.M.1
Kasenally, E.M.2
-
17
-
-
0039616736
-
A finite series solution of the matrix equation AX - XB = C
-
E. C. Ma, A finite series solution of the matrix equation AX - XB = C, J. SIAM Appl. Math, 14 (1966), pp. 490-495.
-
(1966)
J. SIAM Appl. Math
, vol.14
, pp. 490-495
-
-
Ma, E.C.1
-
18
-
-
0001517601
-
A hybrid GMRES algorithm for nonsymmetric matrix iterations
-
N. M. Nachtigal, L. Reichel, and L. N. Trefethen, A hybrid GMRES algorithm for nonsymmetric matrix iterations, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 796-825.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 796-825
-
-
Nachtigal, N.M.1
Reichel, L.2
Trefethen, L.N.3
-
19
-
-
0000253105
-
Invariant description of linear, time-invariant controllable systems
-
V. M. Popov, Invariant description of linear, time-invariant controllable systems, SIAM J. Control, 10 (1972), pp. 252-264.
-
(1972)
SIAM J. Control
, vol.10
, pp. 252-264
-
-
Popov, V.M.1
-
20
-
-
0000175612
-
Numerical solution of large Lyapunov equations
-
Signal Processing, Scattering, Operator Theory, and Numerical Methods. M. A. Kaashoek, J. H. van Schuppen, and A. C. Ran, eds., Boston, Birkhauser
-
Y. Saad, Numerical solution of large Lyapunov equations, in Signal Processing, Scattering, Operator Theory, and Numerical Methods. Proceedings of the international symposium MTNS-89, vol III, M. A. Kaashoek, J. H. van Schuppen, and A. C. Ran, eds., Boston, 1990, Birkhauser, pp. 503-511.
-
(1990)
Proceedings of the International Symposium MTNS-89
, vol.3
, pp. 503-511
-
-
Saad, Y.1
-
22
-
-
1542603280
-
Arnoldi-Riccati method for large eigenvalue problems
-
V. Simoncini and M. Sadkane, Arnoldi-Riccati method for large eigenvalue problems, BIT, 36 (1996), pp. 578-593.
-
(1996)
BIT
, vol.36
, pp. 578-593
-
-
Simoncini, V.1
Sadkane, M.2
-
23
-
-
0009139884
-
Matrix calculation for Liapunov quadratic forms
-
R. A. Smith, Matrix calculation for Liapunov quadratic forms, J. Differential Equations, 2 (1966), pp. 208-217.
-
(1966)
J. Differential Equations
, vol.2
, pp. 208-217
-
-
Smith, R.A.1
-
25
-
-
0000058177
-
On the separation of two matrices
-
J. M. Varah, On the separation of two matrices. Linear Algebra Appl., (1979), pp. 216-222.
-
(1979)
Linear Algebra Appl.
, pp. 216-222
-
-
Varah, J.M.1
-
26
-
-
1542693348
-
Linear matrix equations, controllability and observability, and the rank of solutions
-
H. K. Wimmer, Linear matrix equations, controllability and observability, and the rank of solutions, SIAM J. Matrix Anal., 8 (1988), pp. 570-578.
-
(1988)
SIAM J. Matrix Anal.
, vol.8
, pp. 570-578
-
-
Wimmer, H.K.1
|