-
3
-
-
0001042840
-
On a matrix Riccati equation of stochastic control
-
Wonham WM. On a matrix Riccati equation of stochastic control. SIAM Journal on Control 1968; 6:681-697.
-
(1968)
SIAM Journal on Control
, vol.6
, pp. 681-697
-
-
Wonham, W.M.1
-
4
-
-
34047203621
-
Rational Matrix Equations in Stochastic Control
-
Springer: Berlin
-
Damm T. Rational Matrix Equations in Stochastic Control. Lecture Notes in Control and Information Sciences, vol. 297. Springer: Berlin, 2004.
-
(2004)
Lecture Notes in Control and Information Sciences
, vol.297
-
-
Damm, T.1
-
6
-
-
27544481753
-
Energy functions and algebraic Gramians for bilinear systems
-
Enschede, The Netherlands, Preprint
-
Gray WS, Mesko J. Energy functions and algebraic Gramians for bilinear systems. Fourth IFAC Nonlinear Control Systems Design Symposium, Enschede, The Netherlands, 1998; 103-108. Preprint.
-
(1998)
Fourth IFAC Nonlinear Control Systems Design Symposium
, pp. 103-108
-
-
Gray, W.S.1
Mesko, J.2
-
7
-
-
0036466718
-
2 model reduction of bilinear systems
-
2 model reduction of bilinear systems. Automatica 2002; 38(2):205-216.
-
(2002)
Automatica
, vol.38
, Issue.2
, pp. 205-216
-
-
Zhang, L.1
Lam, J.2
-
8
-
-
84976855597
-
Solution of the matrix equation AX-XB=C: Algorithm 432
-
Bartels RH, Stewart GW. Solution of the matrix equation AX-XB=C: algorithm 432. Communications of the ACM 1972; 15:820-826.
-
(1972)
Communications of the ACM
, vol.15
, pp. 820-826
-
-
Bartels, R.H.1
Stewart, G.W.2
-
10
-
-
0000860359
-
Methods for the solution of AXD-BXC=E and its application in the numerical solution of implicit ordinary differential equations
-
Epton M. Methods for the solution of AXD-BXC=E and its application in the numerical solution of implicit ordinary differential equations. BIT 1980; 20:341-345.
-
(1980)
BIT
, vol.20
, pp. 341-345
-
-
Epton, M.1
-
11
-
-
0000567621
-
Numerical solution of the stable, non-negative definite Lyapunov equation
-
Hammarling SJ. Numerical solution of the stable, non-negative definite Lyapunov equation. IMA Journal of Numerical Analysis 1982; 2:303-323.
-
(1982)
IMA Journal of Numerical Analysis
, vol.2
, pp. 303-323
-
-
Hammarling, S.J.1
-
14
-
-
0032342953
-
Numerical solution of generalized Lyapunov equations
-
Penzl T. Numerical solution of generalized Lyapunov equations. Advances in Computational Mathematics 1998; 8(1-2):33-48.
-
(1998)
Advances in Computational Mathematics
, vol.8
, Issue.1-2
, pp. 33-48
-
-
Penzl, T.1
-
19
-
-
0016496210
-
Vector structures and solutions of linear matrix equations
-
Vetter WJ. Vector structures and solutions of linear matrix equations. Linear Algebra and its Applications 1975; 10:181-188.
-
(1975)
Linear Algebra and its Applications
, vol.10
, pp. 181-188
-
-
Vetter, W.J.1
-
20
-
-
0009749833
-
Matrix Computations
-
2nd edn, Johns Hopkins University Press: Baltimore, MD, U.S.A
-
Golub GH, Van Loan CF. Matrix Computations (2nd edn). Johns Hopkins Series in the Mathematical Sciences, vol. 3. Johns Hopkins University Press: Baltimore, MD, U.S.A., 1989.
-
(1989)
Johns Hopkins Series in the Mathematical Sciences
, vol.3
-
-
Golub, G.H.1
Van Loan, C.F.2
-
23
-
-
0642296091
-
Positive operators and an inertia theorem
-
Schneider H. Positive operators and an inertia theorem. Numerische Mathematik 1965; 7:11-17.
-
(1965)
Numerische Mathematik
, vol.7
, pp. 11-17
-
-
Schneider, H.1
-
24
-
-
0035426962
-
-
Damm T, Hinrichsen D. Newton's method for a rational matrix equation occurring in stochastic control. Linear Algebra and its Applications 2001; 332434:81-109.
-
Damm T, Hinrichsen D. Newton's method for a rational matrix equation occurring in stochastic control. Linear Algebra and its Applications 2001; 332434:81-109.
-
-
-
-
25
-
-
0003270351
-
Nonnegative Matrices in the Mathematical Sciences
-
SIAM: Philadelphia, PA
-
Berman A, Plemmons RJ. Nonnegative Matrices in the Mathematical Sciences. Classics in Applied Mathematics. SIAM: Philadelphia, PA, 1994.
-
(1994)
Classics in Applied Mathematics
-
-
Berman, A.1
Plemmons, R.J.2
-
26
-
-
0041938834
-
Matrix Iterative Analysis
-
2nd revised and expanded edn, Springer: Berlin
-
Varga RS. Matrix Iterative Analysis (2nd revised and expanded edn). Springer Series in Computational Mathematics, vol. 27. Springer: Berlin, 2000.
-
(2000)
Springer Series in Computational Mathematics
, vol.27
-
-
Varga, R.S.1
-
28
-
-
0007434714
-
A note on the superlinear convergence of GMRES
-
Moret I. A note on the superlinear convergence of GMRES. SIAM Journal on Scientific Computing 1997; 34:513-516.
-
(1997)
SIAM Journal on Scientific Computing
, vol.34
, pp. 513-516
-
-
Moret, I.1
-
29
-
-
21244436484
-
On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods
-
Simoncini V, Szyld D. On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods. SIAM Review 2005; 47(2):247-272.
-
(2005)
SIAM Review
, vol.47
, Issue.2
, pp. 247-272
-
-
Simoncini, V.1
Szyld, D.2
-
32
-
-
38249030580
-
ADI iterative solution of Lyapunov equations
-
Wachspress E. ADI iterative solution of Lyapunov equations. Applied Mathematical Letters 1988; 1:87-90.
-
(1988)
Applied Mathematical Letters
, vol.1
, pp. 87-90
-
-
Wachspress, E.1
-
33
-
-
0002909988
-
Solution of Lyapunov equations by alternating direction implicit iteration
-
Lu A, Wachspress E. Solution of Lyapunov equations by alternating direction implicit iteration. Computers and Mathematics with Applications 1991; 21(9):43-58.
-
(1991)
Computers and Mathematics with Applications
, vol.21
, Issue.9
, pp. 43-58
-
-
Lu, A.1
Wachspress, E.2
-
34
-
-
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 Journal on Scientific Computing 2000; 21(4):1401-1418.
-
(2000)
SIAM Journal on Scientific Computing
, vol.21
, Issue.4
, pp. 1401-1418
-
-
Penzl, T.1
-
39
-
-
55749105623
-
-
Saak J. Effiziente numerische Lösung eines Optimalsteuerproblems für die Abkühlung von Stahlprofilen. Diplomarbeit, Zentrum für Technomathematik, Universität Bremen, 2003.
-
Saak J. Effiziente numerische Lösung eines Optimalsteuerproblems für die Abkühlung von Stahlprofilen. Diplomarbeit, Zentrum für Technomathematik, Universität Bremen, 2003.
-
-
-
-
40
-
-
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. Systems and Control Letters 2000; 40(2):139-144.
-
(2000)
Systems and Control Letters
, vol.40
, Issue.2
, pp. 139-144
-
-
Penzl, T.1
|