-
1
-
-
0001447616
-
Continuation and local perturbation for multiple bifurcations
-
E. L. Allgower and C.-S. Chien. Continuation and local perturbation for multiple bifurcations. SIAM J. Sci Stat. Comput., 7, 1265-1281, 1986.
-
(1986)
SIAM J. Sci Stat. Comput.
, vol.7
, pp. 1265-1281
-
-
Allgower, E.L.1
Chien, C.-S.2
-
3
-
-
38149144498
-
Conjugate gradient methods for continuation problems
-
E. L. Allgower, C.-S. Chien, K. Georg and C.-F. Wang. Conjugate gradient methods for continuation problems. J. Comput. Appl. Math., 38, 1-16, 1991.
-
(1991)
J. Comput. Appl. Math.
, vol.38
, pp. 1-16
-
-
Allgower, E.L.1
Chien, C.-S.2
Georg, K.3
Wang, C.-F.4
-
5
-
-
0002807741
-
The principle of minimized iterations in the solution of the matrix eigenvalue problem
-
W. E. Arnoldi. The principle of minimized iterations in the solution of the matrix eigenvalue problem. Quart. Appl. Math., 9, 17-29, 1951.
-
(1951)
Quart. Appl. Math.
, vol.9
, pp. 17-29
-
-
Arnoldi, W.E.1
-
7
-
-
0009352627
-
Steady-state distributions of interacting discrete vortices
-
D. J. Book, S. Fisher and B.E. Mcdonald. Steady-state distributions of interacting discrete vortices. Phys. Rev, Lett., 27, 4-8, 1975.
-
(1975)
Phys. Rev, Lett.
, vol.27
, pp. 4-8
-
-
Book, D.J.1
Fisher, S.2
Mcdonald, B.E.3
-
8
-
-
0001276330
-
Deflation techniques and block-elimination algorithm for solving bordered singular systems
-
T. F. Chan. Deflation techniques and block-elimination algorithm for solving bordered singular systems. SIAM J. Sci. Stat. Comput., 5, 121-134, 1984.
-
(1984)
SIAM J. Sci. Stat. Comput.
, vol.5
, pp. 121-134
-
-
Chan, T.F.1
-
9
-
-
0141937375
-
Iterative methods for solving bordered systems with applications to continuation methods
-
T. F. Chan and Y. Saad. Iterative methods for solving bordered systems with applications to continuation methods. SIAM J. Sci. Stat. Comput., 6, 438-451, 1985.
-
(1985)
SIAM J. Sci. Stat. Comput.
, vol.6
, pp. 438-451
-
-
Chan, T.F.1
Saad, Y.2
-
10
-
-
38149145433
-
A parallel continuation algorithm for nonlinear eigenvalue problems
-
M.-Z. Chen, T.-Z. Chen, C.-S. Chien and M.-S. Yu. A parallel continuation algorithm for nonlinear eigenvalue problems. Computers Math. Applic., 27, 83-97, 1994.
-
(1994)
Computers Math. Applic.
, vol.27
, pp. 83-97
-
-
Chen, M.-Z.1
Chen, T.-Z.2
Chien, C.-S.3
Yu, M.-S.4
-
11
-
-
0000973565
-
Conjugate gradient methods for continuation problems II
-
C.-S. Chien, N.-H. Lu, J.-L. Ueng. Conjugate gradient methods for continuation problems II. J. Comput. Appl. Math., 62, 197-216, 1995.
-
(1995)
J. Comput. Appl. Math.
, vol.62
, pp. 197-216
-
-
Chien, C.-S.1
Lu, N.-H.2
Ueng, J.-L.3
-
12
-
-
0028416213
-
Matrices with rank deficiency two in eigenvalue problems and dynamical systems
-
K-W. E. Chu, W. Govaerts and A. Spence. Matrices with rank deficiency two in eigenvalue problems and dynamical systems. SIAM J. Numer. Anal., 31, 524-539, 1994.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 524-539
-
-
Chu, K.-W.E.1
Govaerts, W.2
Spence, A.3
-
15
-
-
0009350823
-
Preconditioned iterative methods for homotopy curve tracking
-
C. Desa, K. M. Irani, C. J. Ribbens, L. T. Watson and H. F. Walker. Preconditioned iterative methods for homotopy curve tracking. SIAM J. Sci. Stat. Comput., 13, 30-46, 1992.
-
(1992)
SIAM J. Sci. Stat. Comput.
, vol.13
, pp. 30-46
-
-
Desa, C.1
Irani, K.M.2
Ribbens, C.J.3
Watson, L.T.4
Walker, H.F.5
-
16
-
-
25444452938
-
QMR: A quasi-minimal residual method for non-Hermitian linear systems
-
R. W. Freund and N. M. Nachtigal. QMR: a quasi-minimal residual method for non-Hermitian linear systems. Numer. Math., 60, 315-339, 1991.
-
(1991)
Numer. Math.
, vol.60
, pp. 315-339
-
-
Freund, R.W.1
Nachtigal, N.M.2
-
18
-
-
0001031880
-
A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems
-
R. W. Freund. A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. SIAM J. Sci. Stat. Comput., 14, 470-482, 1993.
-
(1993)
SIAM J. Sci. Stat. Comput.
, vol.14
, pp. 470-482
-
-
Freund, R.W.1
-
20
-
-
0003595562
-
EISPACK Guide, Matrix Eigensystem Routine
-
Second Edition. Springer-Verlag
-
B. S. Garbow, J. M. Boyle, J. J. Dongarra and C. B. Moler. EISPACK Guide, Matrix Eigensystem Routine. Lecture Notes in Computer Science 51, Second Edition. Springer-Verlag, 1977.
-
(1977)
Lecture Notes in Computer Science
, vol.51
-
-
Garbow, B.S.1
Boyle, J.M.2
Dongarra, J.J.3
Moler, C.B.4
-
21
-
-
0000360737
-
Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems
-
R. Glowinski, H. B. Keller and L. Reinhart. Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems. SIAM J. Sci. Stat Comput., 6, 793-832, 1985.
-
(1985)
SIAM J. Sci. Stat Comput.
, vol.6
, pp. 793-832
-
-
Glowinski, R.1
Keller, H.B.2
Reinhart, L.3
-
23
-
-
0040843214
-
Bordered augmented linear systems in numerical continuation and bifurcation
-
W. Govaerts. Bordered augmented linear systems in numerical continuation and bifurcation. Numer. Math., 58, 353-368, 1990.
-
(1990)
Numer. Math.
, vol.58
, pp. 353-368
-
-
Govaerts, W.1
-
24
-
-
0001099552
-
A new algorithm for numerical path following applied to an example from hydrodynamical flow
-
J. Huitfeldt and A. Ruhe. A new algorithm for numerical path following applied to an example from hydrodynamical flow. SIAM J. Sci. Stat. Comput., 11, 1181-1192, 1990.
-
(1990)
SIAM J. Sci. Stat. Comput.
, vol.11
, pp. 1181-1192
-
-
Huitfeldt, J.1
Ruhe, A.2
-
26
-
-
0039088564
-
Some general bifurcation techniques
-
R. H. Kearfott, Some general bifurcation techniques. SIAM J. Sci. Stat. Comput., 4, 52-68, 1983.
-
(1983)
SIAM J. Sci. Stat. Comput.
, vol.4
, pp. 52-68
-
-
Kearfott, R.H.1
-
28
-
-
0000094594
-
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
-
C. Lanczos. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. J. Res. Nat Bur. Stand., 45, 255-282, 1950.
-
(1950)
J. Res. Nat Bur. Stand.
, vol.45
, pp. 255-282
-
-
Lanczos, C.1
-
29
-
-
0002814189
-
Solution of systems of linear equations by minimized iteration
-
C. Lanczos. Solution of systems of linear equations by minimized iteration. J. Res. Nat. Bur. Stand., 49, 33-53, 1952.
-
(1952)
J. Res. Nat. Bur. Stand.
, vol.49
, pp. 33-53
-
-
Lanczos, C.1
-
30
-
-
85033138846
-
-
Report SOL 7819, Department of Operation Research, Standford University, Standford, California
-
C. C. Paige and M. A. Saunders. A bidiagonalization algorithm for sparse linear equations and least squares problems. Report SOL 7819, Department of Operation Research, Standford University, Standford, California, 1975.
-
(1975)
A Bidiagonalization Algorithm for Sparse Linear Equations and Least Squares Problems
-
-
Paige, C.C.1
Saunders, M.A.2
-
31
-
-
0001008883
-
A new look at the Lanczos algorithm for solving symmetric systems of linear equations
-
B. N. Parlett. A new look at the Lanczos algorithm for solving symmetric systems of linear equations. Linear Algebra Appl., 29, 323-346, 1980.
-
(1980)
Linear Algebra Appl.
, vol.29
, pp. 323-346
-
-
Parlett, B.N.1
-
33
-
-
84966231631
-
A look-ahead Lanczos algorithm for unsymmetric matrices
-
B. N. Parlett, D. R. Taylor and Z. A. Liu. A look-ahead Lanczos algorithm for unsymmetric matrices. Math. Comput., 44, 105-124, 1985.
-
(1985)
Math. Comput.
, vol.44
, pp. 105-124
-
-
Parlett, B.N.1
Taylor, D.R.2
Liu, Z.A.3
-
34
-
-
0022183447
-
Computing simple bifurcation points using a minimally extended system of nonlinear equations
-
G. Pönisch. Computing simple bifurcation points using a minimally extended system of nonlinear equations. Computing, 35, 277-294, 1985.
-
(1985)
Computing
, vol.35
, pp. 277-294
-
-
Pönisch, G.1
-
35
-
-
84966225678
-
On the Lanczos method for solving symmetric systems with several right hand sides
-
Y. Saad. On the Lanczos method for solving symmetric systems with several right hand sides. Math. Comput., 48, 651-662, 1987.
-
(1987)
Math. Comput.
, vol.48
, pp. 651-662
-
-
Saad, Y.1
-
36
-
-
0000767453
-
On the rate of convergence of the Lanczos and block Lanczos methods
-
Y. Saad. On the rate of convergence of the Lanczos and block Lanczos methods. SIAM J. Numer. Anal., 17, 687-706, 1980.
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 687-706
-
-
Saad, Y.1
-
37
-
-
0000271198
-
The Lanczos biorthogonalization algorithm and other oblique projection methods for solving large unsymmetric systems
-
Y. Saad. The Lanczos biorthogonalization algorithm and other oblique projection methods for solving large unsymmetric systems. SIAM J. Numer. Anal., 19, 485-506, 1982.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 485-506
-
-
Saad, Y.1
-
38
-
-
49149143501
-
Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
-
Y. Saad. Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices. Linear Algebra Appl., 34, 269-295, 1980.
-
(1980)
Linear Algebra Appl.
, vol.34
, pp. 269-295
-
-
Saad, Y.1
-
39
-
-
0000048673
-
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Y. Saad and M. H. Schultz. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput., 7, 856-869, 1986.
-
(1986)
SIAM J. Sci. Stat. Comput.
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
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