-
2
-
-
0001874303
-
A multishift algorithm for the numerical solution of algebraic Riccati equations
-
Ammar, G., Benner, P., Mehrmann, V. (1993): A multishift algorithm for the numerical solution of algebraic Riccati equations. Elect. Trans. on Numer. Anal., 1:33-48
-
(1993)
Elect. Trans. on Numer. Anal.
, vol.1
, pp. 33-48
-
-
Ammar, G.1
Benner, P.2
Mehrmann, V.3
-
3
-
-
0003706460
-
-
SIAM, Philadelphia 324 pages
-
Anderson, E., Bai, Z., Bischof, C., Demmel, J., Dongarra, J., Du Croz, J., Greenbaum, A., Hammarling, S., McKenney, A., Ostrouchov, S., Sorensen, D. (1995): LAPACK Users' Guide (second edition). SIAM, Philadelphia 324 pages
-
(1995)
LAPACK Users' Guide (Second Edition)
-
-
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
Ostrouchov, S.10
Sorensen, D.11
-
4
-
-
38249012086
-
Generalized QR factorization and its applictions
-
Anderson, E., Bai, Z., Dongarra, J. (1992): Generalized QR factorization and its applictions. Lin. Alg. Appl., 162-164:243-271
-
(1992)
Lin. Alg. Appl.
, vol.162-164
, pp. 243-271
-
-
Anderson, E.1
Bai, Z.2
Dongarra, J.3
-
5
-
-
0021618667
-
Generalized eigenproblem algorithms and software for algebraic Riccati equations
-
Arnold, W.F., Laub., A.J. (1984): Generalized eigenproblem algorithms and software for algebraic Riccati equations. Proc. IEEE, 72:1746-1754
-
(1984)
Proc. IEEE
, vol.72
, pp. 1746-1754
-
-
Arnold, W.F.1
Laub, A.J.2
-
7
-
-
0001175581
-
Design of a parallel nonsymmetric eigenroutine toolbox, Part I
-
SIAM. Long version available as UC Berkeley Computer Science report all.ps.Z via anonymous directory pub/tech-reports/csd/csd-92-718
-
Bai, Z., Demmel, J. (1993): Design of a parallel nonsymmetric eigenroutine toolbox, Part I. In: Proceedings of the Sixth SIAM Conference on Parallel Proceesing for Scientific Computing. SIAM. Long version available as UC Berkeley Computer Science report all.ps.Z via anonymous ftp from tr-ftp.cs.berkeley.edu, directory pub/tech-reports/csd/csd-92-718
-
(1993)
Proceedings of the Sixth SIAM Conference on Parallel Proceesing for Scientific Computing
-
-
Bai, Z.1
Demmel, J.2
-
8
-
-
43949169431
-
On swapping diagonal blocks in real Schur form
-
Bai, Z., Demmel, J. (1993): On swapping diagonal blocks in real Schur form. Lin. Alg. Appl., 186:73-96
-
(1993)
Lin. Alg. Appl.
, vol.186
, pp. 73-96
-
-
Bai, Z.1
Demmel, J.2
-
9
-
-
0040176467
-
The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers
-
Compute Science Dept. Technical Report CS-95-273, University of Tennessee at Knoxville to appear
-
Bai, Z., Demmel, J., Dongarra, J., Petitet, A., Robinson, H. (1995): The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Compute Science Dept. Technical Report CS-95-273, University of Tennessee at Knoxville to appear in SIAM J. Sci. Comp.
-
(1995)
SIAM J. Sci. Comp.
-
-
Bai, Z.1
Demmel, J.2
Dongarra, J.3
Petitet, A.4
Robinson, H.5
-
10
-
-
0038961691
-
-
Computer Science Division Report UCB//CSD-94-793, UC Berkeley, February 1994. directory pub/tech-reports/csd/csd-94-79
-
Bai, Z., Demmel, J., Gu, M. (1994): Inverse free parallel spectral divide and conquer algorithms for nonsymmetric eigenproblems. Computer Science Division Report UCB//CSD-94-793, UC Berkeley, February 1994. available by anonymous ftp to tr-ftp.cs.berkeley.edu in directory pub/tech-reports/csd/csd-94-79
-
(1994)
Inverse Free Parallel Spectral Divide and Conquer Algorithms for Nonsymmetric Eigenproblems
-
-
Bai, Z.1
Demmel, J.2
Gu, M.3
-
11
-
-
0000838590
-
Convergence of the shifted QR algorithm on 3 by 3 normal matrices
-
Batterson, S. (1990): Convergence of the shifted QR algorithm on 3 by 3 normal matrices. Num. Math., 58:341-352
-
(1990)
Num. Math.
, vol.58
, pp. 341-352
-
-
Batterson, S.1
-
12
-
-
0040176466
-
The PRISM project: Infrastructure and algorithms for parallel eigensolvers
-
Mississippi State, Mississippi. IEEE Computer Society
-
Bischof, C., Huss-Lederman, S., Sun, X., Tsao, A. (1993): The PRISM project: Infrastructure and algorithms for parallel eigensolvers. In Proceedings of the Scalable Parallel Libraries Conference, Mississippi State, Mississippi. IEEE Computer Society
-
(1993)
Proceedings of the Scalable Parallel Libraries Conference
-
-
Bischof, C.1
Huss-Lederman, S.2
Sun, X.3
Tsao, A.4
-
15
-
-
0024861573
-
∞ norm of a transfer matrix and related problems
-
∞ norm of a transfer matrix and related problems. Mathematics of Control, Signals, and Systems, 2(3):207-219
-
(1989)
Mathematics of Control, Signals, and Systems
, vol.2
, Issue.3
, pp. 207-219
-
-
Boyd, S.1
Balakrishnan, V.2
Kabamba, P.3
-
16
-
-
0038961693
-
Circular dichotomy of the spectrum of a matrix
-
Bulgakov, A.Ya., Godunov, S.K. (1988): Circular dichotomy of the spectrum of a matrix. Siberian Math. J., 29(5):734-744
-
(1988)
Siberian Math. J.
, vol.29
, Issue.5
, pp. 734-744
-
-
Bulgakov, A.Ya.1
Godunov, S.K.2
-
17
-
-
0000161555
-
On direct methods for solving Poisson's equation
-
Buzbee, B., Golub, G., Nielsen, C. (1970): On direct methods for solving Poisson's equation. SIAM J. Num. Anal., 7:627-656
-
(1970)
SIAM J. Num. Anal.
, vol.7
, pp. 627-656
-
-
Buzbee, B.1
Golub, G.2
Nielsen, C.3
-
18
-
-
38249038136
-
Solving the algebraic riccati equation with the matrix sign function
-
Byers, R. (1987): Solving the algebraic Riccati equation with the matrix sign function. Lin. Alg. Appl., 85:267-279
-
(1987)
Lin. Alg. Appl.
, vol.85
, pp. 267-279
-
-
Byers, R.1
-
19
-
-
0001659028
-
A bisection method for measuring the distance of a stable matrix to the unstable matrices
-
Byers, R. (1988): A bisection method for measuring the distance of a stable matrix to the unstable matrices. SIAM J. Sci. Stat. Comp., 9(5):875-881
-
(1988)
SIAM J. Sci. Stat. Comp.
, vol.9
, Issue.5
, pp. 875-881
-
-
Byers, R.1
-
20
-
-
0002170151
-
Rank revealing QR factorizations
-
Chan, T. (1987): Rank revealing QR factorizations. Lin. Alg. Appl., 88/89:67-82
-
(1987)
Lin. Alg. Appl.
, vol.88-89
, pp. 67-82
-
-
Chan, T.1
-
21
-
-
0023168874
-
Three methods for refining estimates of invariant subspaces
-
Demmel, J. (1987): Three methods for refining estimates of invariant subspaces. Computing, 38:43-57
-
(1987)
Computing
, vol.38
, pp. 43-57
-
-
Demmel, J.1
-
22
-
-
0012061781
-
Trading off parallelism and numerical stability
-
G. Golub, M. Moonen, B. de Moor, editors, Kluwer Academic Publishers NATO-ASI Series E: Applied Sciences, in directory pub/tech-reports/csd/csd-92-702
-
Demmel, J. (1993): Trading off parallelism and numerical stability. In G. Golub, M. Moonen, B. de Moor, editors, Linear Algebra for Large Scale and Real-Time Applications, pages 49-68. Kluwer Academic Publishers NATO-ASI Series E: Applied Sciences, Vol. 232; Available as all.ps.Z via anonymous ftp from tr-ftp.cs.berkeley.edu, in directory pub/tech-reports/csd/csd-92-702
-
(1993)
Linear Algebra for Large Scale and Real-time Applications
, vol.232
, pp. 49-68
-
-
Demmel, J.1
-
23
-
-
84971972448
-
Parallel numerical linear algebra
-
Iserles A., editor, Cambridge University Press
-
Demmel, J., Heath, M., van der Vorst, H. (1993): Parallel numerical linear algebra. In Iserles A., editor, Acta Numerica, volume 2. Cambridge University Press
-
(1993)
Acta Numerica
, vol.2
-
-
Demmel, J.1
Heath, M.2
Van Der Vorst, H.3
-
24
-
-
45949117656
-
Computing stable eigendecompositions of matrix pencils
-
Demmel, J., Kågstro̊m, B. (1987) Computing stable eigendecompositions of matrix pencils. Lin. Alg. Appl., 88/89:139-186
-
(1987)
Lin. Alg. Appl.
, vol.88-89
, pp. 139-186
-
-
Demmel, J.1
Kågstro̊m, B.2
-
25
-
-
0028483911
-
Faster numerical algorithms via exception handling
-
LAPACK Working Note 59
-
Demmel, J., Li, X. (1994): Faster numerical algorithms via exception handling. IEEE Trans. Comp., 43(8):983-992. LAPACK Working Note 59
-
(1994)
IEEE Trans. Comp.
, vol.43
, Issue.8
, pp. 983-992
-
-
Demmel, J.1
Li, X.2
-
26
-
-
0025402476
-
A set of level 3 basic linear algebra subprograms
-
Dongarra, J., Du Croz, J., Duff, I., Hammarling, S. (1990): A set of Level 3 Basic Linear Algebra Subprograms. ACM Trans. Math. Soft., 16(1): 1-17
-
(1990)
ACM Trans. Math. Soft.
, vol.16
, Issue.1
, pp. 1-17
-
-
Dongarra, J.1
Du Croz, J.2
Duff, I.3
Hammarling, S.4
-
27
-
-
0023287437
-
On the Schur decomposition of a matrix for parallel computation
-
Eberlein, P. (1987): On the Schur decomposition of a matrix for parallel computation. IEEE Trans. Comput. P., 36:167-174
-
(1987)
IEEE Trans. Comput. P.
, vol.36
, pp. 167-174
-
-
Eberlein, P.1
-
29
-
-
0022788010
-
A generalization of the matrix-sign function solution for algebraic Riccati equations
-
Gardiner, J., Laub, A. (1986): A generalization of the matrix-sign function solution for algebraic Riccati equations. Int. J. Control, 44:823-832
-
(1986)
Int. J. Control
, vol.44
, pp. 823-832
-
-
Gardiner, J.1
Laub, A.2
-
30
-
-
0039554736
-
Problem of the dichotomy of the spectrum of a matrix
-
Godunov, S.K. (1986): Problem of the dichotomy of the spectrum of a matrix. Siberian Math. J., 27(5):649-660
-
(1986)
Siberian Math. J.
, vol.27
, Issue.5
, pp. 649-660
-
-
Godunov, S.K.1
-
31
-
-
0004236492
-
-
Johns Hopkins University Press, Baltimore, MD, 2nd edition
-
Golub, G., Van Loan, C. (1989): Matrix Computations. Johns Hopkins University Press, Baltimore, MD, 2nd edition
-
(1989)
Matrix Computations
-
-
Golub, G.1
Van Loan, C.2
-
33
-
-
1542533583
-
A divide-and-conquer algorithm for the bidiagonal SVD
-
Gu, M., Eisenstat, S.C. (1995): A divide-and-conquer algorithm for the bidiagonal SVD. SIAM J. Mat. Anal. Appl., 16(1):79-92
-
(1995)
SIAM J. Mat. Anal. Appl.
, vol.16
, Issue.1
, pp. 79-92
-
-
Gu, M.1
Eisenstat, S.C.2
-
34
-
-
0040770650
-
Parallelizing the QR algorithm for the unsymmetric algebraic eigenvalue problem: Myths and reality
-
Computer Science Dept. Technical Report CS-94-244, University of Tennessee, Knoxville. (LAPACK Working Note #79); to appear
-
Henry, G., van de Geijn, R. (1994): Parallelizing the QR algorithm for the unsymmetric algebraic eigenvalue problem: myths and reality. Computer Science Dept. Technical Report CS-94-244, University of Tennessee, Knoxville. (LAPACK Working Note #79); to appear in SIAM SISC
-
(1994)
SIAM SISC
-
-
Henry, G.1
Van De Geijn, R.2
-
35
-
-
0001692403
-
Computing the polar decomposition - With applications
-
Higham, N.J. (1986): Computing the polar decomposition - with applications. SIAM J. Sci. Stat. Comput., 7:1160-1174
-
(1986)
SIAM J. Sci. Stat. Comput.
, vol.7
, pp. 1160-1174
-
-
Higham, N.J.1
-
36
-
-
21844507034
-
Knight. Matrix powers in finite precision arithmetic
-
Higham, N.J., Philip, A. (1995): Knight. Matrix powers in finite precision arithmetic. SIAM J. Mat. Anal. Appl., 16:343-358
-
(1995)
SIAM J. Mat. Anal. Appl.
, vol.16
, pp. 343-358
-
-
Higham, N.J.1
Philip, A.2
-
37
-
-
0001908808
-
The rank revealing QR and SVD
-
Hong, P., Pan, C.T. (1992): The rank revealing QR and SVD. Math. Comp., 58:575-232
-
(1992)
Math. Comp.
, vol.58
, pp. 575-1232
-
-
Hong, P.1
Pan, C.T.2
-
38
-
-
0040770652
-
The sign matrix and the separation of matrix eigenvalues
-
Howl, J. (1983): The sign matrix and the separation of matrix eigenvalues. Lin. Alg. Appl., 49:221-232
-
(1983)
Lin. Alg. Appl.
, vol.49
, pp. 221-232
-
-
Howl, J.1
-
39
-
-
0001246152
-
Rational iteration methods for the matrix sign function
-
Kenney, C., Laub, A. (1991): Rational iteration methods for the matrix sign function. SIAM J. Mat. Anal. Appl., 21:487-494
-
(1991)
SIAM J. Mat. Anal. Appl.
, vol.21
, pp. 487-494
-
-
Kenney, C.1
Laub, A.2
-
40
-
-
0040145973
-
Computing invariant subspaces of a regular linear pencil of matrices
-
Malyshev, A.N. (1989): Computing invariant subspaces of a regular linear pencil of matrices. Siberian Math. J., 30(4):559-567
-
(1989)
Siberian Math. J.
, vol.30
, Issue.4
, pp. 559-567
-
-
Malyshev, A.N.1
-
41
-
-
0039554735
-
Guaranteed accuracy in spectral problems of linear algebra, I,II
-
Malyshev, A.N. (1992): Guaranteed accuracy in spectral problems of linear algebra, I,II. Siberian Adv. in Math., 2(1,2): 144-197, 153-204
-
(1992)
Siberian Adv. in Math.
, vol.2
, Issue.1-2
, pp. 144-197
-
-
Malyshev, A.N.1
-
42
-
-
38049073492
-
Parallel algorithm for solving some spectral problems of linear algebra
-
Malyshev, A.N. (1993): Parallel algorithm for solving some spectral problems of linear algebra. Lin. Alg. Appl., 188,189:489-520
-
(1993)
Lin. Alg. Appl.
, vol.188-189
, pp. 489-520
-
-
Malyshev, A.N.1
-
43
-
-
0003309591
-
Some aspects of generalized QR factorization
-
M. Cox and S. Hammarling, editors. Clarendon Press, Oxford
-
Paige, C. (1990): Some aspects of generalized QR factorization. In M. Cox and S. Hammarling, editors. Reliable Numerical Computations. Clarendon Press, Oxford
-
(1990)
Reliable Numerical Computations
-
-
Paige, C.1
-
45
-
-
0019069037
-
Linear model reduction and solution of the algebraic Riccati equation
-
Roberts, J. (1980): Linear model reduction and solution of the algebraic Riccati equation. Inter. J. Control. 32:677-687
-
(1980)
Inter. J. Control.
, vol.32
, pp. 677-687
-
-
Roberts, J.1
-
46
-
-
84968513725
-
On Jacobi and Jacobi-like algorithms for a parallel computer
-
Sameh, A. (1971 ): On Jacobi and Jacobi-like algorithms for a parallel computer. Math. Comp., 25:579-590
-
(1971)
Math. Comp.
, vol.25
, pp. 579-590
-
-
Sameh, A.1
-
47
-
-
0039554707
-
A parallel algorithm for the eigenvalues and eigenvectors of a general complex matrix
-
Shroff, G. (1991): A parallel algorithm for the eigenvalues and eigenvectors of a general complex matrix. Num. Math., 58:779-805
-
(1991)
Num. Math.
, vol.58
, pp. 779-805
-
-
Shroff, G.1
-
48
-
-
0001162599
-
Error and perturbation bounds for subspaces associated with certain eigenvalue problems
-
Stewart, G.W. (1973): Error and perturbation bounds for subspaces associated with certain eigenvalue problems. SIAM Review, 15(4):727-764
-
(1973)
SIAM Review
, vol.15
, Issue.4
, pp. 727-764
-
-
Stewart, G.W.1
-
49
-
-
0000191233
-
A Jacobi-like algorithm for computing the Schur decomposition of a non-Hermitian matrix
-
Stewart, G.W. (1985): A Jacobi-like algorithm for computing the Schur decomposition of a non-Hermitian matrix. SIAM J. Sci. Stat. Comput., 6:853-864
-
(1985)
SIAM J. Sci. Stat. Comput.
, vol.6
, pp. 853-864
-
-
Stewart, G.W.1
-
50
-
-
0040130684
-
Updating a rank-revealing ULV decomposition
-
Stewart, G.W. (1993): Updating a rank-revealing ULV decomposition. SIAM J. Mat. Anal. Appl., 14(2):494-499
-
(1993)
SIAM J. Mat. Anal. Appl.
, vol.14
, Issue.2
, pp. 494-499
-
-
Stewart, G.W.1
|