-
1
-
-
23944490373
-
CAREX - A collection of benchmark examples for continuous-time algebraic Riccati equations (version 2.0)
-
Abels J., and Benner, P. (1999). CAREX - a collection of benchmark examples for continuous-time algebraic Riccati equations (version 2.0). SLICOT Working Note 1999-14. Available from http://www.win.tue.nl/niconet/NIC2/reports. html.
-
(1999)
SLICOT Working Note 1999-14
-
-
Abels, J.1
Benner, P.2
-
2
-
-
0026131309
-
Model order reduction via real schur-form decomposition
-
Aldhaheri, R. (1991). Model order reduction via real Schur-form decomposition. Int. J. Control, 53(3), 709-716.
-
(1991)
Int. J. Control
, vol.53
, Issue.3
, pp. 709-716
-
-
Aldhaheri, R.1
-
3
-
-
0003706460
-
-
SIAM, Philadelphia, PA
-
Anderson, E., Bai, Z., Bischof, C., Demmel, J., Dongarra, J., Du Croz, J., Greenbaum, A., Hammarling, S., McKenney, A., and Sorensen, D. (1999). LAPACK Users' Guide, 3rd ed., SIAM, Philadelphia, PA.
-
(1999)
LAPACK Users' Guide, 3rd Ed.
-
-
Anderson, E.1
Bai, Z.2
Bischof, C.3
Demmel, J.4
Dongarra, J.5
Du Croz, J.6
Greenbaum, A.7
Hammarling, S.8
McKenney, A.9
Sorensen, D.10
-
5
-
-
0001175581
-
Design of a parallel nonsymmetric eigenroutine toolbox, Part I
-
R. S. et al., (eds.), SIAM, Philadelphia, PA, 391-398, Tech. Report CSD-92-718, Computer Science Division, University of California, Berkeley, CA
-
Bai, Z., and Demmel, J. (1993). Design of a parallel nonsymmetric eigenroutine toolbox, Part I. In R. S. et al., (eds.), Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, SIAM, Philadelphia, PA, 391-398, See also: Tech. Report CSD-92-718, Computer Science Division, University of California, Berkeley, CA.
-
(1993)
Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing
-
-
Bai, Z.1
Demmel, J.2
-
6
-
-
84976855597
-
Solution of the matrix equation AX + XB = C: Algorithm 432
-
Bartels, R., and Stewart, G. (1972). Solution of the matrix equation AX + XB = C: Algorithm 432. Comm. ACM, 15, 820-826.
-
(1972)
Comm. ACM
, vol.15
, pp. 820-826
-
-
Bartels, R.1
Stewart, G.2
-
7
-
-
0016580689
-
A new solution method for the Lyapunov matrix equations
-
Beavers, A. N., and Denman, E. D. (1975). A new solution method for the Lyapunov matrix equations. SIAM J. Appl. Math. 29, 416-421.
-
(1975)
SIAM J. Appl. Math.
, vol.29
, pp. 416-421
-
-
Beavers, N.A.1
Denman, E.D.2
-
9
-
-
0032644014
-
Parallel distributed solvers for large stable generalized Lyapunov equations
-
Benner, P., Claver, v, and Quintana-Orti, E. (1999). Parallel distributed solvers for large stable generalized Lyapunov equations. Parallel Processing Lett., 9(1), 147-158.
-
(1999)
Parallel Processing Lett.
, vol.9
, Issue.1
, pp. 147-158
-
-
Benner, P.1
Claver, V.2
Quintana-Orti, E.3
-
10
-
-
0033412866
-
Solving stable generalized Lyapunov equations with the matrix sign function
-
Benner, P., and Quintana-Orti, E. (1999). Solving stable generalized Lyapunov equations with the matrix sign function. Numer. Algorithms 20(1), 75-100.
-
(1999)
Numer. Algorithms
, vol.20
, Issue.1
, pp. 75-100
-
-
Benner, P.1
Quintana-Orti, E.2
-
11
-
-
0242281707
-
Numerical solution of discrete stable linear matrix equations on multicomputers
-
Bemier, P., Quintana-Ortí, E., and Quintana-Ortí, G. (2002). Numerical solution of discrete stable linear matrix equations on multicomputers. Parallel Algorithms and Appl. 17(1), 127-146.
-
(2002)
Parallel Algorithms and Appl.
, vol.17
, Issue.1
, pp. 127-146
-
-
Bemier, P.1
Quintana-Ortí, E.2
Quintana-Ortí, G.3
-
12
-
-
0003615167
-
-
SIAM, Philadelphia, PA
-
Blackford, L., Choi, J., Cleary, A., D'Azevedo, E., Demmel, J., Dhillon, I., Dongarra, J., Hammarling, S., Henry, G., Petitet, A., Stanley, K., Walker, D., and Whaley, R. (1997). ScaLAPACK Users' Guide. SIAM, Philadelphia, PA.
-
(1997)
ScaLAPACK Users' Guide
-
-
Blackford, L.1
Choi, J.2
Cleary, A.3
D'Azevedo, E.4
Demmel, J.5
Dhillon, I.6
Dongarra, J.7
Hammarling, S.8
Henry, G.9
Petitet, A.10
Stanley, K.11
Walker, D.12
Whaley, R.13
-
13
-
-
38249038136
-
Solving the algebraic Riccati equation with the matrix sign function
-
Byers, R. (1987). Solving the algebraic Riccati equation with the matrix sign function. Linear Algebra Appl. 85, 267-279.
-
(1987)
Linear Algebra Appl.
, vol.85
, pp. 267-279
-
-
Byers, R.1
-
14
-
-
0030532987
-
Application of ADI iterative methods to the restoration of noisy images
-
Calvetti, D., and Reichel, L. (1996). Application of ADI iterative methods to the restoration of noisy images. SIAM J. Matrix Anal. Appl. 17, 165-186.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 165-186
-
-
Calvetti, D.1
Reichel, L.2
-
15
-
-
0002170151
-
Rank revealing QR factorizations
-
Chan, T. (1987). Rank revealing QR factorizations. Linear Algebra Appl. 88/89, 67-82.
-
(1987)
Linear Algebra Appl.
, vol.88-89
, pp. 67-82
-
-
Chan, T.1
-
16
-
-
0025464791
-
Efficient matrix-valued algorithms for solving stiff Riccati differential equations
-
Choi, C., and Laub, A. (1990). Efficient matrix-valued algorithms for solving stiff Riccati differential equations. IEEE Trans. Automat. Control, 35, 770-776.
-
(1990)
IEEE Trans. Automat. Control
, vol.35
, pp. 770-776
-
-
Choi, C.1
Laub, A.2
-
18
-
-
33646669861
-
Transformation method for solving linear BVPs. I: Theoretical aspects
-
Dieci, L., Osborne, M., and Russell, R., (1988). A. Riccati, transformation method for solving linear BVPs. I: Theoretical aspects. SIAM J. Numer. Anal. 25(5), 1055-1073.
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, Issue.5
, pp. 1055-1073
-
-
Dieci, L.1
Osborne, M.2
Russell, R.3
Riccati, A.4
-
19
-
-
0025402476
-
A set of level 3 Basic linear algebra subprograms
-
Dongarra, J., Croz, J. D., Duff, I., and Hammarling, S. (1990). A set of level 3 Basic linear algebra subprograms. ACM Trans. Math. Soft., 16:1-17.
-
(1990)
ACM Trans. Math. Soft.
, vol.16
, pp. 1-17
-
-
Dongarra, J.1
Croz, J.D.2
Duff, I.3
Hammarling, S.4
-
20
-
-
0003793981
-
-
SIAM, Philadelphia, PA
-
Dongarra, J. Duff, I. S., Sorensen, D. C., and van der Vorst, H. A. (1991). Solving Linear Systems on Vector and Shared Memory Computers. SIAM, Philadelphia, PA.
-
(1991)
Solving Linear Systems on Vector and Shared Memory Computers
-
-
Dongarra, J.1
Duff, I.S.2
Sorensen, D.C.3
Van Der Vorst, H.A.4
-
21
-
-
84976797154
-
Improving the efficiency of matrix operations in the numerical solution of stiff ordinary differential equations
-
Enright, W (1978). Improving the efficiency of matrix operations in the numerical solution of stiff ordinary differential equations. ACM Trans. Math. Soft. 4, 127-136.
-
(1978)
ACM Trans. Math. Soft.
, vol.4
, pp. 127-136
-
-
Enright, W.1
-
22
-
-
0000860359
-
Methods for the solution of AXD - BXC = e and its application in the numerical solution of implicit ordinary differential equations
-
Epton, M. (1980). Methods for the solution of AXD - BXC = E and its application in the numerical solution of implicit ordinary differential equations. BIT, 20, 341-345.
-
(1980)
BIT
, vol.20
, pp. 341-345
-
-
Epton, M.1
-
23
-
-
33746640992
-
On a fundamental property of the cross-Gramian matrix
-
CAS-31(5)
-
Fernando, K., and Nicholson, H. (1984). On a fundamental property of the cross-Gramian matrix. IEEE Trans. Circuits Syst. CAS-31(5), 504-505.
-
(1984)
IEEE Trans. Circuits Syst.
, pp. 504-505
-
-
Fernando, K.1
Nicholson, H.2
-
24
-
-
0003299075
-
Lyapunov matrix equation in system stability and control
-
Academic Press, San Diego, CA
-
Gajić, Z., and Qureshi, M. (1995). Lyapunov Matrix Equation in System Stability and Control. Math, in Science and Engineering. Academic Press, San Diego, CA.
-
(1995)
Math, in Science and Engineering
-
-
Gajić, Z.1
Qureshi, M.2
-
25
-
-
0026402189
-
Parallel algorithms for algebraic Riccati equations
-
Gardiner, J., and Laub, A. (1991). Parallel algorithms for algebraic Riccati equations. Int. J. Control, 54(6), 1317-1333.
-
(1991)
Int. J. Control
, vol.54
, Issue.6
, pp. 1317-1333
-
-
Gardiner, J.1
Laub, A.2
-
26
-
-
0026874674
-
Solution of the Sylvester matrix equation AXB + CXD = e
-
Gardiner, J., Laub, A., Amato, J., and Moler, C. (1992). Solution of the Sylvester matrix equation AXB + CXD = E. ACM Trans. Math. Soft, 18, 223-231.
-
(1992)
ACM Trans. Math. Soft
, vol.18
, pp. 223-231
-
-
Gardiner, J.1
Laub, A.2
Amato, J.3
Moler, C.4
-
27
-
-
0004236492
-
-
Johns Hopkins University Press, Baltimore
-
Golub, G., and Van Loan, C. (1996). Matrix Computations, 3rd ed., Johns Hopkins University Press, Baltimore.
-
(1996)
Matrix Computations, 3rd Ed.
-
-
Golub, G.1
Van Loan, C.2
-
28
-
-
0018721357
-
A Hessenberg-Schur method for the problem AX + XB = C
-
AC-24
-
Golub, G. H., Nash, S., and Van Loan, C. F. (1979). A Hessenberg-Schur method for the problem AX + XB = C. IEEE Trans. Automat. Control. AC-24, 909-913.
-
(1979)
IEEE Trans. Automat. Control
, pp. 909-913
-
-
Golub, G.H.1
Nash, S.2
Van Loan, C.F.3
-
29
-
-
12444323471
-
On reducing TLB misses in matrix multiplication
-
Department of Computer Sciences, The University of Texas at Austin
-
Goto, K., and van de Geijn, R. (2002). On reducing TLB misses in matrix multiplication. FLAME Working Note 9, Department of Computer Sciences, The University of Texas at Austin, http://www.cs.utexas.edu/users/flame.
-
(2002)
FLAME Working Note
, vol.9
-
-
Goto, K.1
Van De Geijn, R.2
-
30
-
-
10044281868
-
Existence of a low rank or H-matrix approximant to the solution of a Sylvester equation
-
Grasedyck, L. (2004). Existence of a low rank or H-matrix approximant to the solution of a Sylvester equation. Numer. Lin. Alg. Appl. 11, 371-389.
-
(2004)
Numer. Lin. Alg. Appl.
, vol.11
, pp. 371-389
-
-
Grasedyck, L.1
-
31
-
-
33746585382
-
-
Preprint 48, Max-Planck Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany
-
Grasedyck, L., and Hackbusch, W. (2004). A multigrid method to solve large scale Sylvester equations. Preprint 48, Max-Planck Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany.
-
(2004)
A Multigrid Method to Solve Large Scale Sylvester Equations
-
-
Grasedyck, L.1
Hackbusch, W.2
-
32
-
-
0003417929
-
-
MIT Press, Cambridge, MA
-
Gropp, W., Lusk, E. and Skjellum, A. (1994). Using MPI: Portable Parallel Programming with the Message-Passing Interface. MIT Press, Cambridge, MA.
-
(1994)
Using MPI: Portable Parallel Programming with the Message-Passing Interface
-
-
Gropp, W.1
Lusk, E.2
Skjellum, A.3
-
33
-
-
0001050260
-
Methodus nova, accurata & facilis inveniendi radices aequationum quarumcumque generaliter, sine praevia reductione
-
Halley, E. (1694). Methodus nova, accurata & facilis inveniendi radices aequationum quarumcumque generaliter, sine praevia reductione. Philos. Trans. R Soc. Lond. 18, 136-148.
-
(1694)
Philos. Trans. R Soc. Lond.
, vol.18
, pp. 136-148
-
-
Halley, E.1
-
34
-
-
0001722652
-
Parallelizing the QR algorithm for the unsymmetric algebraic eigenvalue problem: Myths and reality
-
Henry, G., and van de Geijn, R. (1997). Parallelizing the QR algorithm for the unsymmetric algebraic eigenvalue problem: myths and reality. SIAM J. Sci. Comput. 17, 870-883.
-
(1997)
SIAM J. Sci. Comput.
, vol.17
, pp. 870-883
-
-
Henry, G.1
Van De Geijn, R.2
-
35
-
-
0001692403
-
Computing the polar decomposition-with applications
-
Higham, N. (1986). Computing the polar decomposition-with applications. SIAM J. Sci. Statist. Comput. 7, 1160-1174.
-
(1986)
SIAM J. Sci. Statist. Comput.
, vol.7
, pp. 1160-1174
-
-
Higham, N.1
-
36
-
-
33746583255
-
The numerical solution of the matrix equation XA + AY = F
-
Hoskins, W., Meek, D., and Walton, D. (1977). The numerical solution of the matrix equation XA + AY = F. BIT 17, 184-190.
-
(1977)
BIT
, vol.17
, pp. 184-190
-
-
Hoskins, W.1
Meek, D.2
Walton, D.3
-
37
-
-
38249011246
-
Krylov-subspace methods for the Sylvester equation
-
Hu, D., and Reichel, L. (1992). Krylov-subspace methods for the Sylvester equation. Linear Algebra Appl. 172, 283-313.
-
(1992)
Linear Algebra Appl.
, vol.172
, pp. 283-313
-
-
Hu, D.1
Reichel, L.2
-
38
-
-
0030092417
-
Lapack-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs
-
Kagström, B., and Poromaa, P. (1996). Lapack-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs. ACM Trans. Math. Soft. 22(1), 78-103.
-
(1996)
ACM Trans. Math. Soft.
, vol.22
, Issue.1
, pp. 78-103
-
-
Kagström, B.1
Poromaa, P.2
-
39
-
-
0001246152
-
Rational iterative methods for the matrix sign function
-
Kenney, C., and Laub, A. (1991). Rational iterative methods for the matrix sign function. SIAM J. Matrix Anal. Appl. 12, 273-291.
-
(1991)
SIAM J. Matrix Anal. Appl.
, vol.12
, pp. 273-291
-
-
Kenney, C.1
Laub, A.2
-
41
-
-
0034770552
-
A note on parallel matrix inversion
-
Quintana-Orti, E., Quintana-Orti, G., Sun, X., and van de Geijn, R. (2001). A note on parallel matrix inversion. SIAM J. Sci. Comput. 22, 1762-1771.
-
(2001)
SIAM J. Sci. Comput.
, vol.22
, pp. 1762-1771
-
-
Quintana-Orti, E.1
Quintana-Orti, G.2
Sun, X.3
Van De Geijn, R.4
-
42
-
-
0019069037
-
Linear model reduction and solution of the algebraic Riccati equation by use of the sign function
-
Technical Report No. TR-13, CUED/B-Control, Cambridge University, Engineering Department, 1971
-
Roberts, J. (1980). Linear model reduction and solution of the algebraic Riccati equation by use of the sign function. Int. J. Control, 32, 677-687, (Reprint of Technical Report No. TR-13, CUED/B-Control, Cambridge University, Engineering Department, 1971).
-
(1980)
Int. J. Control
, vol.32
, pp. 677-687
-
-
Roberts, J.1
-
43
-
-
84979324358
-
Iterative berechnung der reziproken matrix
-
InGerman
-
Schulz, G. (1993), Iterative berechnung der reziproken matrix. Z. Angew. Math. Mech. 13, 57-59. In German.
-
(1993)
Z. Angew. Math. Mech.
, vol.13
, pp. 57-59
-
-
Schulz, G.1
-
44
-
-
0003636272
-
-
Marcel Dekker Inc., New York, NY
-
Sima, V. (1996). Algorithms for Linear-Quadratic Optimization, Pure and Applied Mathematics, vol. 200, Marcel Dekker Inc., New York, NY
-
(1996)
Algorithms for Linear-Quadratic Optimization, Pure and Applied Mathematics
, vol.200
-
-
Sima, V.1
-
45
-
-
33746599982
-
Evaluation of the linear matrix equation solvers in SLICOT
-
Slowik, M., Benner, P., and Sima, V. (2004). Evaluation of the linear matrix equation solvers in SLICOT. SLICOT Working Note 2004-1 Available from http://www.win.tue.nl/niconet/NIC2/reports.html.
-
(2004)
SLICOT Working Note 2004-1
-
-
Slowik, M.1
Benner, P.2
Sima, V.3
-
47
-
-
38249030580
-
Iterative solution of the lyapunov matrix equation
-
Wachspress, E. (1988). Iterative solution of the Lyapunov matrix equation. Appl. Math. Lett. 107, 87-90.
-
(1988)
Appl. Math. Lett.
, vol.107
, pp. 87-90
-
-
Wachspress, E.1
|