-
1
-
-
0003100242
-
On Hamiltonian and symplectic Hessenberg forms
-
AMMAR, G. AND MEHRMANN, V. 1991. On Hamiltonian and symplectic Hessenberg forms. Linear Alg. Appl. 149, 55-72.
-
(1991)
Linear Alg. Appl.
, vol.149
, pp. 55-72
-
-
Ammar, G.1
Mehrmann, V.2
-
2
-
-
0001874303
-
A multishift algorithm for the numerical solution of algebraic Riccati equations
-
AMMAR, G., BENNER, P., AND MEHRMANN, V. 1993. A multishift algorithm for the numerical solution of algebraic Riccati equations. Electr. Trans. Num. Anal. 1, 33-48.
-
(1993)
Electr. Trans. Num. Anal.
, vol.1
, pp. 33-48
-
-
Ammar, G.1
Benner, P.2
Mehrmann, V.3
-
3
-
-
0003706460
-
-
SIAM, Philadelphia, PA
-
ANDERSON, E., BAI, Z., BISCHOF, C., DEMMEL, J., DONGARRA, J., DUCROZ, J., GREENBAUM, A., HAMMARLING, S., MCKENNEY, A., OSTROUCHOV, S., AND SORENSEN, D. 1995. LAPACK Users'' Guide. 2nd ed. SIAM, Philadelphia, PA.
-
(1995)
LAPACK Users'' Guide. 2nd Ed.
-
-
Anderson, E.1
Bai, Z.2
Bischof, C.3
Demmel, J.4
Dongarra, J.5
DuCroz, J.6
Greenbaum, A.7
Hammarling, S.8
McKenney, A.9
Ostrouchov, S.10
Sorensen, D.11
-
4
-
-
0040503539
-
-
In preparation
-
BENNER, P., BYERS, R., MEHRMANN, V., AND Xu, H. 2000. Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices II. In preparation.
-
(2000)
Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices II
-
-
Benner, P.1
Byers, R.2
Mehrmann, V.3
Xu, H.4
-
5
-
-
0003418313
-
A collection of benchmark examples for the numerical solution of algebraic Riccati equations I: Continuous-time case
-
Fakultät für Mathematik, TU Chemnitz-Zwickau, Chemnitz, Germany
-
BENNER, P., LAUB, A., AND MEHRMANN, V. 1995. A collection of benchmark examples for the numerical solution of algebraic Riccati equations I: Continuous-time case. Tech. Rep. SPC 95_22. Fakultät für Mathematik, TU Chemnitz-Zwickau, Chemnitz, Germany. Available via http://www.tu-chemnitz.de/sfb393/spc95pr.html.
-
(1995)
Tech. Rep. SPC 95_22
-
-
Benner, P.1
Laub, A.2
Mehrmann, V.3
-
6
-
-
0032344706
-
A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils
-
BENNER, P., MEHRMANN, V., AND XU, H. 1998. A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils. Numer. Math. 78, 329-358.
-
(1998)
Numer. Math.
, vol.78
, pp. 329-358
-
-
Benner, P.1
Mehrmann, V.2
Xu, H.3
-
10
-
-
38249035464
-
The weak and strong stability of algorithms in numerical algebra
-
BUNCH, J. 1987. The weak and strong stability of algorithms in numerical algebra. Linear Alg. Appl. 88, 49-66.
-
(1987)
Linear Alg. Appl.
, vol.88
, pp. 49-66
-
-
Bunch, J.1
-
11
-
-
0022914040
-
A symplectic QR-like algorithm for the solution of the real algebraic Riccati equation
-
Dec.
-
BUNSE-GERSTNER, A. AND MEHRMANN, V. 1986. A symplectic QR-like algorithm for the solution of the real algebraic Riccati equation. IEEE Trans. Automat. Contr. AC-31, 12 (Dec.), 1104-1113.
-
(1986)
IEEE Trans. Automat. Contr.
, vol.AC-31
, Issue.12
, pp. 1104-1113
-
-
Bunse-Gerstner, A.1
Mehrmann, V.2
-
12
-
-
0013396168
-
An SR algorithm for Hamiltonian matrices based on Gaussian elimination
-
BUNSE-GERSTNER, A., MEHRMANN, V., AND WATKINS, D. 1989. An SR algorithm for Hamiltonian matrices based on Gaussian elimination. Meth. Oper. Res. 58, 339-358.
-
(1989)
Meth. Oper. Res.
, vol.58
, pp. 339-358
-
-
Bunse-Gerstner, A.1
Mehrmann, V.2
Watkins, D.3
-
14
-
-
0001058962
-
A Hamiltonian QR algorithm
-
Jan. 1986
-
BYERS, R. 1986. A Hamiltonian QR algorithm. SIAM J. Sci. Stat. Comput. 7, 1 (Jan. 1986), 212-229.
-
(1986)
SIAM J. Sci. Stat. Comput.
, vol.7
, Issue.1
, pp. 212-229
-
-
Byers, R.1
-
15
-
-
0001659028
-
A bisection method for measuring the distance of a stable to unstable matrices
-
BYERS, R. 1988. A bisection method for measuring the distance of a stable to unstable matrices. SIAM J. Sci. Stat. Comput. 9, 5, 875-881.
-
(1988)
SIAM J. Sci. Stat. Comput.
, vol.9
, Issue.5
, pp. 875-881
-
-
Byers, R.1
-
16
-
-
0040503538
-
The systematic design of control systems for the multivariable servomechanism problem
-
M. Sain, J. Peczkowsky, and J. Melsa, Eds. Alternatives for Linear Multivariable Control, Chicago, IL
-
DAVISON, E. AND GESING, W. 1978. The systematic design of control systems for the multivariable servomechanism problem. In Alternatives for Linear Multivariable Control, M. Sain, J. Peczkowsky, and J. Melsa, Eds. Alternatives for Linear Multivariable Control, Chicago, IL.
-
(1978)
Alternatives for Linear Multivariable Control
-
-
Davison, E.1
Gesing, W.2
-
17
-
-
0025402476
-
A set of level 3 basic linear algebra subprograms
-
Mar. 1990
-
DONGARRA, J. J., Du CROZ, J. J., HAMMARLING, S., AND DUFF, I. S. 1990. A set of level 3 basic linear algebra subprograms. ACM Trans. Math. Softw. 16, 1 (Mar. 1990), 1-17.
-
(1990)
ACM Trans. Math. Softw.
, vol.16
, Issue.1
, pp. 1-17
-
-
Dongarra, J.J.1
Du Croz, J.J.2
Hammarling, S.3
Duff, I.S.4
-
18
-
-
0023983122
-
An extended set of FORTRAN basic linear algebra subprograms
-
Mar. 1988
-
DONGARRA, J. J., Du CROZ, J., HAMMARLING, S., AND HANSON, R. J. 1988. An extended set of FORTRAN Basic Linear Algebra Subprograms. ACM Trans. Math. Softw. 14, 1 (Mar. 1988), 1-17.
-
(1988)
ACM Trans. Math. Softw.
, vol.14
, Issue.1
, pp. 1-17
-
-
Dongarra, J.J.1
Du Croz, J.2
Hammarling, S.3
Hanson, R.J.4
-
21
-
-
0031215996
-
A stabilized matrix sign function algorithm for solving algebraic Riccati equations
-
GARDINER, J. D. 1997. A stabilized matrix sign function algorithm for solving algebraic Riccati equations. SIAM J. Sci. Comput. 18, 5, 1393-1411.
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, Issue.5
, pp. 1393-1411
-
-
Gardiner, J.D.1
-
23
-
-
0024641418
-
A stability-enhancing scaling procedure for Schur-Riccati solvers
-
Apr. 1989
-
KENNEY, C., LAUB, A. J., AND WETTE, M. 1989. A stability-enhancing scaling procedure for Schur-Riccati solvers. Syst. Control Lett. 12, 3 (Apr. 1989), 241-250.
-
(1989)
Syst. Control Lett.
, vol.12
, Issue.3
, pp. 241-250
-
-
Kenney, C.1
Laub, A.J.2
Wette, M.3
-
25
-
-
0018681625
-
A Schur method for solving algebraic Riccati equations
-
Dec.
-
LAUB, A. 1979. A Schur method for solving algebraic Riccati equations. IEEE Trans. Automat. Contr. AC-24, 6 (Dec.), 913-921.
-
(1979)
IEEE Trans. Automat. Contr.
, vol.AC-24
, Issue.6
, pp. 913-921
-
-
Laub, A.1
-
26
-
-
0018515759
-
Basic linear algebra subprograms for Fortran usage
-
LAWSON, C. L., HANSON, R. J., KINCAID, D. R., AND KROGH, F. T. 1979. Basic linear algebra subprograms for Fortran usage. ACM Trans. Math. Softw. 5, 3, 308-323.
-
(1979)
ACM Trans. Math. Softw.
, vol.5
, Issue.3
, pp. 308-323
-
-
Lawson, C.L.1
Hanson, R.J.2
Kincaid, D.R.3
Krogh, F.T.4
-
27
-
-
0002866568
-
A Schur decomposition for Hamiltonian matrices
-
PAIGE, C. AND VAN LOAN, C. 1976. A Schur decomposition for Hamiltonian matrices. Linear Alg. Appl. 14, 11-32.
-
(1976)
Linear Alg. Appl.
, vol.14
, pp. 11-32
-
-
Paige, C.1
Van Loan, C.2
-
28
-
-
0027844491
-
On scaling an algebraic Ricatti equation
-
San Francisco, CA, June
-
PANDEY, P. 1993. On scaling an algebraic Ricatti equation. In Proceedings of the American Control Conference (San Francisco, CA, June), 1583-1587.
-
(1993)
Proceedings of the American Control Conference
, pp. 1583-1587
-
-
Pandey, P.1
-
29
-
-
21144478622
-
Forward instability of tridiagonal QR
-
Jan. 1993
-
PARLETT, B. N. AND LE, J. 1993. Forward instability of tridiagonal QR. SIAM J. Matrix Anal. Appl. 14, 1 (Jan. 1993), 279-316.
-
(1993)
SIAM J. Matrix Anal. Appl.
, vol.14
, Issue.1
, pp. 279-316
-
-
Parlett, B.N.1
Le, J.2
-
30
-
-
0000292291
-
Balancing a matrix for calculation of eigenvalues and eigenvectors
-
PARLETT, B. AND REINSCH, C. 1969. Balancing a matrix for calculation of eigenvalues and eigenvectors. Numer. Math. 13, 296-304.
-
(1969)
Numer. Math.
, vol.13
, pp. 296-304
-
-
Parlett, B.1
Reinsch, C.2
-
31
-
-
21344481593
-
Computation of stable invariant subspaces of Hamiltonian matrices
-
Jan. 1994
-
PATEL, R. V., LIN, Z., AND MISRA, P. 1994. Computation of stable invariant subspaces of Hamiltonian matrices. SIAM J. Matrix Anal. Appl. 15, 1 (Jan. 1994), 284-298.
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, Issue.1
, pp. 284-298
-
-
Patel, R.V.1
Lin, Z.2
Misra, P.3
-
32
-
-
0023410389
-
On the numerical properties of the Schur approach for solving the matrix Riccati equation
-
Sept. 1, 1987
-
PETKOV, P., CHRISTOV, N. D., AND KONSTANTINOV, M. M. 1987. On the numerical properties of the Schur approach for solving the matrix Riccati equation. Syst. Control Lett. 9, 3 (Sept. 1, 1987), 197-201.
-
(1987)
Syst. Control Lett.
, vol.9
, Issue.3
, pp. 197-201
-
-
Petkov, P.1
Christov, N.D.2
Konstantinov, M.M.3
-
33
-
-
21344482178
-
A class of Hamiltonian-symplectic methods for solving the algebraic Riccati equation
-
RAINES, A. AND WATKINS, D. 1994. A class of Hamiltonian-symplectic methods for solving the algebraic Riccati equation. Linear Alg. Appl. 205/206, 1045-1060.
-
(1994)
Linear Alg. Appl.
, vol.205-206
, pp. 1045-1060
-
-
Raines, A.1
Watkins, D.2
-
34
-
-
0039347646
-
Algorithm GRICSR: Solving continuous-time algebraic Ricatti equations using Gaussian symplectic transformations
-
SIMA, V. 1992. Algorithm GRICSR: Solving continuous-time algebraic Ricatti equations using Gaussian symplectic transformations. Stud. Inf. Control 1, 1, 237-254.
-
(1992)
Stud. Inf. Control
, vol.1
, Issue.1
, pp. 237-254
-
-
Sima, V.1
-
35
-
-
0003203931
-
Matrix eigensystem routines: EISPACK guide
-
Springer-Verlag, New York, NY
-
SMITH, B. T., BOYLE, J. M., DONGARRA, J. J., GARBOW, B. S., IKEBE, Y., KLEMA, V. C., AND MOLER, C.B. 1976. Matrix Eigensystem Routines: EISPACK Guide. 2nd Springer Lecture Notes in Computer Science, vol. 6. Springer-Verlag, New York, NY.
-
(1976)
2nd Springer Lecture Notes in Computer Science
, vol.6
-
-
Smith, B.T.1
Boyle, J.M.2
Dongarra, J.J.3
Garbow, B.S.4
Ikebe, Y.5
Klema, V.C.6
Moler, C.B.7
-
36
-
-
0000832532
-
A fast algorithm to compute the real structured stability radius
-
Stability Theory. Proceedings of the Hurwitz Centenary Conference (Ticino, May 21-26), Birkhäuser, Basel
-
SREEDHAR, J., VAN DOOREN, P., AND TITS, A. 1995a. A fast algorithm to compute the real structured stability radius. In Stability Theory. Proceedings of the Hurwitz Centenary Conference (Ticino, May 21-26), Birkhäuser, Basel, 219-230. Int. Ser. Numer. Math. 121.
-
(1995)
Int. Ser. Numer. Math.
, vol.121
, pp. 219-230
-
-
Sreedhar, J.1
Van Dooren, P.2
Tits, A.3
-
37
-
-
0029528821
-
A level-set idea to compute the real Hurwitz-stability radius
-
(New Orleans, LA, Dec. 13-15), IEEE Press, Piscataway, NJ, WA05
-
SREEDHAR, J., VAN DOOREN, P., AND TITS, A. 1995b. A level-set idea to compute the real Hurwitz-stability radius. In Proceedings of the 34th IEEE Conference on Decision and Control (New Orleans, LA, Dec. 13-15), IEEE Press, Piscataway, NJ, WA05.
-
(1995)
Proceedings of the 34th IEEE Conference on Decision and Control
-
-
Sreedhar, J.1
Van Dooren, P.2
Tits, A.3
-
38
-
-
0000059741
-
A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix
-
VAN LOAN, C. 1984. A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix. Linear Alg. Appl. 61, 233-251.
-
(1984)
Linear Alg. Appl.
, vol.61
, pp. 233-251
-
-
Van Loan, C.1
-
40
-
-
0039318254
-
-
Ph.D. Dissertation. Institute of Mathematics, Fudan University, Shanghai, People's Republic of China
-
XU, H. 1993. Solving algebraic Riccati equations via Skew-Hamiltonian matrices. Ph.D. Dissertation. Institute of Mathematics, Fudan University, Shanghai, People's Republic of China.
-
(1993)
Solving Algebraic Riccati Equations Via Skew-Hamiltonian Matrices
-
-
Xu, H.1
-
41
-
-
21844491859
-
Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation
-
XU, H. AND LU, L. 1995. Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation. Linear Alg. Appl. 222, 127-145.
-
(1995)
Linear Alg. Appl.
, vol.222
, pp. 127-145
-
-
Xu, H.1
Lu, L.2
|