-
1
-
-
0003100242
-
On hamiltonian and symplectic Hessenberg forms
-
G.S. Ammar, V. Mehrmann, On Hamiltonian and symplectic Hessenberg forms. Linear Algebra Appl. 149 (1991) 55-72.
-
(1991)
Linear Algebra Appl.
, vol.149
, pp. 55-72
-
-
Ammar, G.S.1
Mehrmann, V.2
-
2
-
-
0007326268
-
-
Dissertation, Universität Bremen, Fachbereich 3 - Mathematik und Informatik, Bremen, Germany
-
G. Banse, Symplektische Eigenwertverfahren zur Lösung zeitdiskreter optimaler Steuerungs-probleme, Dissertation, Universität Bremen, Fachbereich 3 - Mathematik und Informatik, Bremen, Germany, 1995.
-
(1995)
Symplektische Eigenwertverfahren zur Lösung Zeitdiskreter Optimaler Steuerungs-probleme
-
-
Banse, G.1
-
3
-
-
21444448823
-
Condensed forms for symplectic matrices and symplectic pencils in optimal control
-
G. Banse, Condensed forms for symplectic matrices and symplectic pencils in optimal control, ZAMM 76 (Suppl. 3) (1996) 375-376.
-
(1996)
ZAMM
, vol.76
, Issue.3 SUPPL.
, pp. 375-376
-
-
Banse, G.1
-
4
-
-
0007321993
-
A condensed form for the solution of the symplectic eigenvalue problem
-
U. Helmke, R. Menniken, J. Sauer (Eds.), Akademie Verlag
-
G. Banse, A. Bunse-Gerstner, A condensed form for the solution of the symplectic eigenvalue problem, in: U. Helmke, R. Menniken, J. Sauer (Eds.). Systems and Networks: Mathematical Theory and Applications, Akademie Verlag, 1994, pp. 613-616.
-
(1994)
Systems and Networks: Mathematical Theory and Applications
, pp. 613-616
-
-
Banse, G.1
Bunse-Gerstner, A.2
-
6
-
-
0040689412
-
An implicitly restarted symplectic lanczos method for the Hamiltonian eigenvalue problem
-
P. Benner, H. Faßbender, An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem, Linear Algebra Appl. 263 (1997) 75-111.
-
(1997)
Linear Algebra Appl.
, vol.263
, pp. 75-111
-
-
Benner, P.1
Faßbender, H.2
-
7
-
-
38249035464
-
The weak and strong stability of algorithms in numerical algebra
-
J.R. Bunch, The weak and strong stability of algorithms in numerical algebra. Linear Algebra Appl. 88 (1987) 49-66.
-
(1987)
Linear Algebra Appl.
, vol.88
, pp. 49-66
-
-
Bunch, J.R.1
-
8
-
-
38249039967
-
Matrix factorizations for symplectic QR-like methods
-
A. Bunse-Gerstner, Matrix factorizations for symplectic QR-like methods. Linear Algebra Appl. 83 (1986) 49-77.
-
(1986)
Linear Algebra Appl.
, vol.83
, pp. 49-77
-
-
Bunse-Gerstner, A.1
-
9
-
-
0002018013
-
Schur parameter pencils for the solution of the unitary eigenproblem
-
A. Bunse-Gerstner, L. Elsner, Schur parameter pencils for the solution of the unitary eigenproblem. Linear Algebra Appl. 154-156 (1991) 741-778.
-
(1991)
Linear Algebra Appl.
, vol.154-156
, pp. 741-778
-
-
Bunse-Gerstner, A.1
Elsner, L.2
-
10
-
-
0022914040
-
A symplectic QR-like algorithm for the solution of the real algebraic Riccati equation
-
A. Bunse-Gerstner, V. Mehrmann, A symplectic QR-like algorithm for the solution of the real algebraic Riccati equation, IEEE Trans. Automat. Control AC-31 (1986) 1104-1113.
-
(1986)
IEEE Trans. Automat. Control
, vol.AC-31
, pp. 1104-1113
-
-
Bunse-Gerstner, A.1
Mehrmann, V.2
-
11
-
-
0002654780
-
An implicitly restarted Lanczos method for large symmetric eigenvalue problems
-
D. Calvetti, L. Reichel, D.C. Sorensen, An implicitly restarted Lanczos method for large symmetric eigenvalue problems, Electron. Trans. Num. Anal. 2 (1994) 1-21.
-
(1994)
Electron. Trans. Num. Anal.
, vol.2
, pp. 1-21
-
-
Calvetti, D.1
Reichel, L.2
Sorensen, D.C.3
-
12
-
-
0016520885
-
Numerical linear algorithms and group theory
-
J. Della-Dora, Numerical linear algorithms and group theory, Linear Algebra Appl. 10 (1975) 267-283.
-
(1975)
Linear Algebra Appl.
, vol.10
, pp. 267-283
-
-
Della-Dora, J.1
-
13
-
-
0000052549
-
On some algebraic problems in connection with general eigenvalue algorithms
-
L. Elsner, On some algebraic problems in connection with general eigenvalue algorithms, Linear Algebra Appl. 26 (1979) 123-138.
-
(1979)
Linear Algebra Appl.
, vol.26
, pp. 123-138
-
-
Elsner, L.1
-
14
-
-
0040564889
-
On a condensed form for normal matrices under finite sequences of unitary similarities
-
L. Elsner, K. Ikramov, On a condensed form for normal matrices under finite sequences of unitary similarities, Linear Algebra Appl. 254 (1997) 79-98.
-
(1997)
Linear Algebra Appl.
, vol.254
, pp. 79-98
-
-
Elsner, L.1
Ikramov, K.2
-
15
-
-
0031514137
-
On numerical methods for discrete least-squares approximation by trigonometric polynomials
-
H. Faßbender, On numerical methods for discrete least-squares approximation by trigonometric polynomials, Math. Comp. 66 (1997) 719-741.
-
(1997)
Math. Comp.
, vol.66
, pp. 719-741
-
-
Faßbender, H.1
-
17
-
-
0000394782
-
The QR transformation, part I and part II
-
J.G.F. Francis, The QR transformation, Part I and Part II, Comput. J. 4 (1961) 265-271 and 332-345.
-
(1961)
Comput. J.
, vol.4
, pp. 265-271
-
-
Francis, J.G.F.1
-
18
-
-
0007702899
-
Transpose-free quasi-minimal residual methods for non-hermitian linear systems
-
G. Golub et al. (Ed.), Recent advances in iterative methods. Papers from the IMA workshop on iterative methods for sparse and structured problems, held in Minneapolis, MN, 24 February-1 March 1992., Springer, New York
-
R. Freund, Transpose-free quasi-minimal residual methods for non-Hermitian linear systems, in: G. Golub et al. (Ed.), Recent advances in iterative methods. Papers from the IMA workshop on iterative methods for sparse and structured problems, held in Minneapolis, MN, 24 February-1 March 1992., IMA Vol. Math. Appl., vol. 60, Springer, New York, 1994, pp. 69-94.
-
(1994)
IMA Vol. Math. Appl.
, vol.60
, pp. 69-94
-
-
Freund, R.1
-
19
-
-
0001378925
-
An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices
-
R.W. Freund, M.H. Gutknecht, N.M. Nachtigal, An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices, SIAM J. Sci. Comput. 14(1) (1993) 137-158.
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, Issue.1
, pp. 137-158
-
-
Freund, R.W.1
Gutknecht, M.H.2
Nachtigal, N.M.3
-
20
-
-
0004236492
-
-
Johns Hopkins University Press, Baltimore, MD
-
G.H. Golub, C.F. van Loan, Matrix Computations, 2nd ed., Johns Hopkins University Press, Baltimore, MD, 1989.
-
(1989)
Matrix Computations, 2nd Ed.
-
-
Golub, G.H.1
Van Loan, C.F.2
-
21
-
-
27544508073
-
Model reduction of state space systems via an implicitly restarted lanczos method
-
E.J. Grimme, D.C. Sorensen, P. van Dooren, Model reduction of state space systems via an implicitly restarted Lanczos method. Num. Alg. 12 (1996) 1-31.
-
(1996)
Num. Alg.
, vol.12
, pp. 1-31
-
-
Grimme, E.J.1
Sorensen, D.C.2
Van Dooren, P.3
-
22
-
-
0004257762
-
Stability radii of linear discrete-time systems and symplectic pencils
-
D. Hinrichsen, N.K. Son, Stability radii of linear discrete-time systems and symplectic pencils, Int. J. Robust Nonlinear Control 1 (1991) 79-97.
-
(1991)
Int. J. Robust Nonlinear Control
, vol.1
, pp. 79-97
-
-
Hinrichsen, D.1
Son, N.K.2
-
23
-
-
0001390707
-
On some algorithms for the solution of the complete eigenvalue problem
-
V.N. Kublanoskaja, On some algorithms for the solution of the complete eigenvalue problem, USSR Comput. Math. and Math. Phys. 3 (1961) 637-657.
-
(1961)
USSR Comput. Math. and Math. Phys.
, vol.3
, pp. 637-657
-
-
Kublanoskaja, V.N.1
-
25
-
-
0002756084
-
Invariant subspace methods for the numerical solution of Riccati equations
-
S. Bittanti, A.J. Laub, J.C. Willems (Eds.), Springer, Berlin
-
A.J. Laub, Invariant subspace methods for the numerical solution of Riccati equations, in: S. Bittanti, A.J. Laub, J.C. Willems (Eds.), The Riccati Equation, Springer, Berlin, 1991, pp. 163-196.
-
(1991)
The Riccati Equation
, pp. 163-196
-
-
Laub, A.J.1
-
26
-
-
0000603860
-
A new method for computing the closed loop eigenvalues of a discrete-time algebraic Riccati equation
-
W.-W. Lin, A new method for computing the closed loop eigenvalues of a discrete-time algebraic Riccati equation, Linear Algebra Appl. 6 (1987) 157-180.
-
(1987)
Linear Algebra Appl.
, vol.6
, pp. 157-180
-
-
Lin, W.-W.1
-
27
-
-
0007201647
-
-
Diplomarbeit, Universität Bielefeld, Bielefeld, FRG
-
V. Mehrmann, Der SR-Algorithmus zur Berechnung der Eigenwerte einer Matrix, Diplomarbeit, Universität Bielefeld, Bielefeld, FRG, 1979.
-
(1979)
Der SR-algorithmus Zur Berechnung der Eigenwerte Einer Matrix
-
-
Mehrmann, V.1
-
28
-
-
0000133176
-
A symplectic orthogonal method for single input or single output discrete time optimal linear quadratic control problems
-
V. Mehrmann, A symplectic orthogonal method for single input or single output discrete time optimal linear quadratic control problems, SIAM J. Matrix Anal. Appl. 9 (1988) 221-248.
-
(1988)
SIAM J. Matrix Anal. Appl.
, vol.9
, pp. 221-248
-
-
Mehrmann, V.1
-
29
-
-
0002467383
-
The autonomous linear quadratic control problem, theory and numerical solution
-
Springer, Heidelberg
-
V. Mehrmann, The Autonomous Linear Quadratic Control Problem, Theory and Numerical Solution, Lecture Notes in Control and Information Sciences, vol. 163, Springer, Heidelberg, 1991.
-
(1991)
Lecture Notes in Control and Information Sciences
, vol.163
-
-
Mehrmann, V.1
-
30
-
-
49049146869
-
A Schur decomposition for Hamiltonian matrices
-
C.C. Paige, C.F. Van Loan, A Schur decomposition for Hamiltonian matrices, Linear Algebra Appl. 14 (1981) 11-32.
-
(1981)
Linear Algebra Appl.
, vol.14
, pp. 11-32
-
-
Paige, C.C.1
Van Loan, C.F.2
-
31
-
-
0019045717
-
On the numerical solution of the discrete-time algebraic riccati equation
-
T. Pappas, A.J. Laub, N.R. Sandell, On the numerical solution of the discrete-time algebraic Riccati equation, IEEE Trans. Automat. Control AC-25 (1980) 631-641.
-
(1980)
IEEE Trans. Automat. Control
, vol.AC-25
, pp. 631-641
-
-
Pappas, T.1
Laub, A.J.2
Sandell, N.R.3
-
32
-
-
84966231631
-
A look-ahead Lanczos algorithm for unsymmetric matrices
-
B.N. Parlett, D.R. Taylor, Z.A. Liu, A look-ahead Lanczos algorithm for unsymmetric matrices, Math. Comp. 44 (169) (1985) 105-124.
-
(1985)
Math. Comp.
, vol.44
, Issue.169
, pp. 105-124
-
-
Parlett, B.N.1
Taylor, D.R.2
Liu, Z.A.3
-
33
-
-
0007204787
-
Computation of the stable deflating subspace of a symplectic pencil using structure preserving orthogonal transformations
-
University of Illinois
-
R.V. Patel, Computation of the stable deflating subspace of a symplectic pencil using structure preserving orthogonal transformations, in: Proceedings of the 31st Annual Allerton Conference on Communication, Control and Computing, University of Illinois, 1993.
-
(1993)
Proceedings of the 31st Annual Allerton Conference on Communication, Control and Computing
-
-
Patel, R.V.1
-
34
-
-
21144481132
-
On computing the eigenvalues of a symplectic pencil
-
R.V. Patel, On computing the eigenvalues of a symplectic pencil, Linear Algebra Appl. 188/189 (1993) 591-611. See also: Proc. CDC-31, Tuscon. AZ, 1992, pp. 1921-1926.
-
(1993)
Linear Algebra Appl.
, vol.188-189
, pp. 591-611
-
-
Patel, R.V.1
-
35
-
-
21144481132
-
-
Tuscon. AZ
-
R.V. Patel, On computing the eigenvalues of a symplectic pencil, Linear Algebra Appl. 188/189 (1993) 591-611. See also: Proc. CDC-31, Tuscon. AZ, 1992, pp. 1921-1926.
-
(1992)
Proc. CDC-31
, pp. 1921-1926
-
-
-
36
-
-
0000322706
-
Implicit application of polynomial filters in a k-step Arnoldi method
-
D.C. Sorensen, Implicit application of polynomial filters in a k-step Arnoldi method, SIAM J. Matrix Anal. Appl. 13 (1) (1992) 357-385.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, Issue.1
, pp. 357-385
-
-
Sorensen, D.C.1
-
37
-
-
0003820738
-
-
Ph.D. Thesis, Center for Pure and Applied Mathematics, University of California, Berkeley, CA
-
D.R. Taylor, Analysis of the Look Ahead Lanczos Algorithm, Ph.D. Thesis, Center for Pure and Applied Mathematics, University of California, Berkeley, CA, 1982.
-
(1982)
Analysis of the Look Ahead Lanczos Algorithm
-
-
Taylor, D.R.1
-
38
-
-
0000059741
-
A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix
-
C.F. Van Loan, A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix, Linear Algebra Appl. 16 (1984) 233-251.
-
(1984)
Linear Algebra Appl.
, vol.16
, pp. 233-251
-
-
Van Loan, C.F.1
-
39
-
-
0027657519
-
Some perspectives on the eigenvalue problem
-
D.S. Watkins, Some perspectives on the eigenvalue problem, SIAM Rev. 35 (1993) 430-471.
-
(1993)
SIAM Rev.
, vol.35
, pp. 430-471
-
-
Watkins, D.S.1
-
40
-
-
0000630233
-
Chasing algorithms for the eigenvalue problem
-
D.S. Watkins, L. Elsner, Chasing algorithms for the eigenvalue problem, SIAM J. Matrix Anal. Appl. 12 (1991) 374-384.
-
(1991)
SIAM J. Matrix Anal. Appl.
, vol.12
, pp. 374-384
-
-
Watkins, D.S.1
Elsner, L.2
-
41
-
-
0002732714
-
Convergence of algorithms of decomposition type for the eigenvalue problem
-
D.S. Watkins, L. Elsner, Convergence of algorithms of decomposition type for the eigenvalue problem, Linear Algebra Appl. 143 (1995) 19-47.
-
(1995)
Linear Algebra Appl.
, vol.143
, pp. 19-47
-
-
Watkins, D.S.1
Elsner, L.2
|