-
1
-
-
0003706460
-
-
3rd ed, SIAM, Philadelphia
-
E. ANDERSON, Z. BAI, C. BISCHOF, S. BLACKFORD, J. W. DEMMEL, J. DONGARRA, J. DU CROZ, A. GREENBAUM, S. HAMMARLING, A. MCKENNEY, AND D. SORENSEN, LAPACK Users' Guide, 3rd ed., SIAM, Philadelphia, 1999.
-
(1999)
LAPACK Users' Guide
-
-
ANDERSON, E.1
BAI, Z.2
BISCHOF, C.3
BLACKFORD, S.4
DEMMEL, J.W.5
DONGARRA, J.6
DU CROZ, J.7
GREENBAUM, A.8
HAMMARLING, S.9
MCKENNEY, A.10
SORENSEN, D.11
-
2
-
-
43949169431
-
On swapping diagonal blocks in real Schur form
-
Z. BAI AND J. W. DEMMEL, On swapping diagonal blocks in real Schur form, Linear Algebra Appl., 186 (1993), pp. 73-95.
-
(1993)
Linear Algebra Appl
, vol.186
, pp. 73-95
-
-
BAI, Z.1
DEMMEL, J.W.2
-
3
-
-
84976855597
-
Algorithm 432 : The Solution of the Matrix Equation AX - BX = C
-
R. H. BARTELS AND G. W. STEWART, Algorithm 432 : The Solution of the Matrix Equation AX - BX = C, Comm. ACM, 8 (1972), pp. 820-826.
-
(1972)
Comm. ACM
, vol.8
, pp. 820-826
-
-
BARTELS, R.H.1
STEWART, G.W.2
-
4
-
-
0042920736
-
Perturbation analysis for the eigenvalue problem of a formal product of matrices
-
P. BENNER, V. MEHRMANN, AND H. XU, Perturbation analysis for the eigenvalue problem of a formal product of matrices, BIT, 42 (2002), pp. 1-43.
-
(2002)
BIT
, vol.42
, pp. 1-43
-
-
BENNER, P.1
MEHRMANN, V.2
XU, H.3
-
5
-
-
0026987622
-
The periodic Schur decomposition: Algorithm and applications
-
SPIE, Bellingham, WA
-
A. BOJANCZYK, G. H. GOLUB, AND P. VAN DOOREN, The periodic Schur decomposition: Algorithm and applications, in Advanced Signal Processing Algorithms, Architectures, and Implementations III, Proc. SPIE Conference 1770, SPIE, Bellingham, WA, 1992, pp. 31-42.
-
(1770)
Advanced Signal Processing Algorithms, Architectures, and Implementations III, Proc. SPIE Conference
, pp. 31-42
-
-
BOJANCZYK, A.1
GOLUB, G.H.2
VAN DOOREN, P.3
-
6
-
-
33646491344
-
On propagating orthogonal transformations in a product of 2×2 triangular matrices
-
de Gruyter, New York
-
A. BOJANCZYK AND P. VAN DOOREN, On propagating orthogonal transformations in a product of 2×2 triangular matrices, in Numerical Linear Algebra, de Gruyter, New York, 1993, pp. 1-9.
-
(1993)
Numerical Linear Algebra
, pp. 1-9
-
-
BOJANCZYK, A.1
VAN DOOREN, P.2
-
7
-
-
0039715002
-
Reordering diagonal blocks in the real Schur form
-
M. S. Moonen, G. H. Golub, and B. L. R. De Moor, eds, Kluwer Academic Publishers, Amsterdam
-
A. BOJANCZYK AND P. VAN DOOREN, Reordering diagonal blocks in the real Schur form, in Linear Algebra for Large Scale and Real-Time Applications, M. S. Moonen, G. H. Golub, and B. L. R. De Moor, eds., Kluwer Academic Publishers, Amsterdam, 1993, pp. 351-352.
-
(1993)
Linear Algebra for Large Scale and Real-Time Applications
, pp. 351-352
-
-
BOJANCZYK, A.1
VAN DOOREN, P.2
-
8
-
-
0040900883
-
Numerical considerations in computing invariant subspaces
-
J. J. DONGARRA, S. HAMMARLING, AND J. H. WILKINSON, Numerical considerations in computing invariant subspaces, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 145-161.
-
(1992)
SIAM J. Matrix Anal. Appl
, vol.13
, pp. 145-161
-
-
DONGARRA, J.J.1
HAMMARLING, S.2
WILKINSON, J.H.3
-
9
-
-
1842865668
-
Algorithms for almost block diagonal linear systems
-
G. FAIRWEATHER AND I. GLADWELL, Algorithms for almost block diagonal linear systems, SIAM Rev., 46 (2004), pp. 49-58.
-
(2004)
SIAM Rev
, vol.46
, pp. 49-58
-
-
FAIRWEATHER, G.1
GLADWELL, I.2
-
10
-
-
0004236492
-
-
3rd ed, The Johns Hopkins University Press, Baltimore, MD
-
G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations
-
-
GOLUB, G.H.1
VAN LOAN, C.F.2
-
11
-
-
33847162931
-
Direct Eigenvalue Reordering in o Product of Matrices in Extended Periodic Real Schur Form
-
05.05, Umeå University, Umeå, Sweden
-
R. GRANAT AND B. KÅGSTRÖM, Direct Eigenvalue Reordering in o Product of Matrices in Extended Periodic Real Schur Form, Report UMINF 05.05, Umeå University, Umeå, Sweden, 2005.
-
(2005)
Report UMINF
-
-
GRANAT, R.1
KÅGSTRÖM, B.2
-
13
-
-
0028447254
-
Numerical solution of the discrete-time periodic Riccati equation
-
J. J. HENCH AND A. J. LAUB, Numerical solution of the discrete-time periodic Riccati equation, IEEE Trans. Automat. Control, 39 (1994), pp. 1197-1210.
-
(1994)
IEEE Trans. Automat. Control
, vol.39
, pp. 1197-1210
-
-
HENCH, J.J.1
LAUB, A.J.2
-
14
-
-
0024143903
-
Fortran codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation
-
N. J. HIGHAM, Fortran codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation, ACM Trans. Math. Software, 14 (1988), pp. 381-396.
-
(1988)
ACM Trans. Math. Software
, vol.14
, pp. 381-396
-
-
HIGHAM, N.J.1
-
16
-
-
0039428375
-
A direct method for reordering eigenvalues in the generalized real Schur form of a regular matrix pair (A, B)
-
M. S. Moonen, G. H. Golub, and B. L. R. De Moor, eds, Kluwer Academic Publishers, Amsterdam
-
B. KÅGSTRÖM, A direct method for reordering eigenvalues in the generalized real Schur form of a regular matrix pair (A, B), in Linear Algebra for Large Scale and Real-Time Applications, M. S. Moonen, G. H. Golub, and B. L. R. De Moor, eds., Kluwer Academic Publishers, Amsterdam, 1993, pp. 195-218.
-
(1993)
Linear Algebra for Large Scale and Real-Time Applications
, pp. 195-218
-
-
KÅGSTRÖM, B.1
-
18
-
-
0041103179
-
Computing eigenspaces with specified eigenvalues of a regular matrix pair (A, B) and condition estimation: Theory, algorithms, and software
-
B. KÅGSTRÖM AND P. POROMAA, Computing eigenspaces with specified eigenvalues of a regular matrix pair (A, B) and condition estimation: Theory, algorithms, and software, Numer. Algorithms, 12 (1996), pp. 369-407.
-
(1996)
Numer. Algorithms
, vol.12
, pp. 369-407
-
-
KÅGSTRÖM, B.1
POROMAA, P.2
-
19
-
-
17544378081
-
-
Ph.D. thesis, TU Berlin, Institut für Mathematik, Berlin, Germany
-
D. KRESSNER, Numerical Methods and Software for General and Structured Eigenvalue Problems, Ph.D. thesis, TU Berlin, Institut für Mathematik, Berlin, Germany, 2004.
-
(2004)
Numerical Methods and Software for General and Structured Eigenvalue Problems
-
-
KRESSNER, D.1
-
20
-
-
0035501641
-
Perturbation analysis for the eigenproblem of periodic matrix pairs
-
W.-W. LIN AND J.-G. SUN, Perturbation analysis for the eigenproblem of periodic matrix pairs, Linear Algebra Appl., 337 (2001), pp. 157-187.
-
(2001)
Linear Algebra Appl
, vol.337
, pp. 157-187
-
-
LIN, W.-W.1
SUN, J.-G.2
-
22
-
-
33847158062
-
-
J. SREEDHAR AND P. VAN DOOREN, A Schur approach for solving some periodic matrix equations, in Systems and Networks: Mathematical Theory and Applications, U. Helmke, R. Mennicken, and J. Saurer, eds., Akademie Verlag, Berlin, 1994, pp. 339-362.
-
J. SREEDHAR AND P. VAN DOOREN, A Schur approach for solving some periodic matrix equations, in Systems and Networks: Mathematical Theory and Applications, U. Helmke, R. Mennicken, and J. Saurer, eds., Akademie Verlag, Berlin, 1994, pp. 339-362.
-
-
-
-
23
-
-
0001884632
-
Algorithm 407 : HQR3 and EXCHNG: FORTRAN programs for calculating the eigenvalues of a real upper Hessenberg matrix in a prescribed order
-
G. W. STEWART, Algorithm 407 : HQR3 and EXCHNG: FORTRAN programs for calculating the eigenvalues of a real upper Hessenberg matrix in a prescribed order, ACM Trans. Math. Software, 2 (1976), pp. 275-280.
-
(1976)
ACM Trans. Math. Software
, vol.2
, pp. 275-280
-
-
STEWART, G.W.1
-
24
-
-
0001333621
-
Perturbation bounds for the QR factorization of a matrix
-
G. W. STEWART, Perturbation bounds for the QR factorization of a matrix, SIAM J. Numer. Anal., 14 (1977), pp. 509-518.
-
(1977)
SIAM J. Numer. Anal
, vol.14
, pp. 509-518
-
-
STEWART, G.W.1
-
26
-
-
84976789456
-
Algorithm 590 : DSUBSP and EXCHQZ: Fortran subroutines for computing deflating subspaces with specified spectrum
-
P. VAN DOOREN, Algorithm 590 : DSUBSP and EXCHQZ: Fortran subroutines for computing deflating subspaces with specified spectrum, ACM Trans. Math. Software, 8 (1982), pp. 376-382.
-
(1982)
ACM Trans. Math. Software
, vol.8
, pp. 376-382
-
-
VAN DOOREN, P.1
-
27
-
-
0031142776
-
Periodic Lyapunov equations: Some applications and new algorithms
-
A. VARGA, Periodic Lyapunov equations: Some applications and new algorithms, Internat. J. Control, 67 (1997), pp. 69-87.
-
(1997)
Internat. J. Control
, vol.67
, pp. 69-87
-
-
VARGA, A.1
-
28
-
-
0000804382
-
Balancing related methods for minimal realization of periodic systems
-
A. VARGA, Balancing related methods for minimal realization of periodic systems, Systems Control Lett., 36 (1999), pp. 339-349.
-
(1999)
Systems Control Lett
, vol.36
, pp. 339-349
-
-
VARGA, A.1
-
29
-
-
0032047407
-
Gradient-based approach to solve optimal periodic output feedback control problems
-
A. VARGA AND S. PIETERS, Gradient-based approach to solve optimal periodic output feedback control problems, Automatica, 45 (1998), pp. 477-481.
-
(1998)
Automatica
, vol.45
, pp. 477-481
-
-
VARGA, A.1
PIETERS, S.2
-
30
-
-
0002665681
-
Computational methods for periodic systems - an overview
-
Como, Italy
-
A. VARGA AND P. VAN DOOREN, Computational methods for periodic systems - an overview, in Proceedings of the of IFAC Workshop on Periodic Control Systems, Como, Italy, 2001, pp. 171-176.
-
(2001)
Proceedings of the of IFAC Workshop on Periodic Control Systems
, pp. 171-176
-
-
VARGA, A.1
VAN DOOREN, P.2
-
32
-
-
0012033691
-
A collection of problems for which Gaussian elimination with partial pivoting is unstable
-
S. J. WRIGHT, A collection of problems for which Gaussian elimination with partial pivoting is unstable, SIAM J. Sci. Comput., 14 (1993), pp. 231-238.
-
(1993)
SIAM J. Sci. Comput
, vol.14
, pp. 231-238
-
-
WRIGHT, S.J.1
|