-
1
-
-
0000734143
-
Krylov sequences of maximal length and convergence of GMRES
-
Arioli M., Vlastimil Pták, Strakoš Zdenek: Krylov sequences of maximal length and convergence of GMRES. BIT Numer. Math. 38(4), 636 (1998).
-
(1998)
BIT Numer. Math.
, vol.38
, Issue.4
, pp. 636
-
-
Arioli, M.1
Vlastimil, P.2
Strakoš, Z.3
-
2
-
-
80052262067
-
-
ABINIT is a common project of the Université Catholique de Louvain, Corning Incorporated, and other contributors, for further details see
-
ABINIT is a common project of the Université Catholique de Louvain, Corning Incorporated, and other contributors, for further details see http://www. abinit. org.
-
-
-
-
5
-
-
80052261419
-
-
bigDFT
-
bigDFT, http://www-drfmc. cea. fr/sp2m/L_Sim/BigDFT/index. en. html.
-
-
-
-
6
-
-
84968510937
-
A class of methods for solving nonlinear simultaneous equations
-
Broyden C. G.: A class of methods for solving nonlinear simultaneous equations. Math. Comput. 19, 577 (1965).
-
(1965)
Math. Comput.
, vol.19
, pp. 577
-
-
Broyden, C.G.1
-
7
-
-
0000302437
-
On the local and superlinear convergence of Quasi-Newton methods
-
Broyden C. G., Dennis J. E., Moré J. J.: On the local and superlinear convergence of Quasi-Newton methods. J. Inst. Math. Appl. 12, 223 (1973).
-
(1973)
J. Inst. Math. Appl.
, vol.12
, pp. 223
-
-
Broyden, C.G.1
Dennis, J.E.2
Moré, J.J.3
-
8
-
-
57149147607
-
-
Version 5. 1, Pacific Northwest National Laboratory, Richland, Washington 99352-0999, USA. A modified version
-
E. J. Bylaska et al., NWChem, A Computational Chemistry Package for Parallel Computers, Version 5. 1, Pacific Northwest National Laboratory, Richland, Washington 99352-0999, USA. A modified version, (2007).
-
(2007)
NWChem, A Computational Chemistry Package for Parallel Computers
-
-
Bylaska, E.J.1
-
9
-
-
0034375944
-
On the convergence of SCF algorithms for the Hartree-Fock equations
-
Cancès E., Le Bris C.: On the convergence of SCF algorithms for the Hartree-Fock equations. M2AN 34, 749 (2000).
-
(2000)
M2an
, vol.34
, pp. 749
-
-
Cancès, E.1
Le Bris, C.2
-
10
-
-
0002077637
-
Geometry optimization by direct inversion in the iterative subspace
-
Császár P., Pulay P.: Geometry optimization by direct inversion in the iterative subspace. J. Mol. Struct. 114, 31 (1984).
-
(1984)
J. Mol. Struct.
, vol.114
, pp. 31
-
-
Császár, P.1
Pulay, P.2
-
12
-
-
0000208731
-
Fast secant methods for the iterative solution of large nonsymmetric linear systems
-
Deuflhard P., Freund R., Waltera A.: Fast secant methods for the iterative solution of large nonsymmetric linear systems. Impact Comput. Sci. Eng. 2(3), 2446 (1990).
-
(1990)
Impact Comput. Sci. Eng.
, vol.2
, Issue.3
, pp. 2446
-
-
Deuflhard, P.1
Freund, R.2
Waltera, A.3
-
13
-
-
0001365674
-
Ab initio geometry optimization for large molecules
-
Eckert F., Pulay P., Werner H.-J.: Ab initio geometry optimization for large molecules. J. Comput. Chem. 18, 1473 (1997).
-
(1997)
J. Comput. Chem.
, vol.18
, pp. 1473
-
-
Eckert, F.1
Pulay, P.2
Werner, H.-J.3
-
14
-
-
33749419794
-
General methods for geometry and wave function optimization
-
Fischer T. H., Almlöf J.: General methods for geometry and wave function optimization. J. Phys. Chem. 92, 9768 (1992).
-
(1992)
J. Phys. Chem.
, vol.92
, pp. 9768
-
-
Fischer, T.H.1
Almlöf, J.2
-
15
-
-
0000346582
-
Some convergence properties of Broyden's method
-
Gay D. M.: Some convergence properties of Broyden's method. SIAM J. Numer. Anal. 16, 623 (1979).
-
(1979)
SIAM J. Numer. Anal.
, vol.16
, pp. 623
-
-
Gay, D.M.1
-
17
-
-
46749147988
-
Daubechies wavelets as a basis set for density functional pseudopotential calculations
-
Genovese L., Neelov A., Goedecker S., Deutsch T., Ghasemi S. A., Willand A., Caliste D., Zilberberg O., Rayson M., Bergman A., Schneider R.: Daubechies wavelets as a basis set for density functional pseudopotential calculations. J. Chem. Phys. 129, 014109 (2009).
-
(2009)
J. Chem. Phys.
, vol.129
, pp. 014109
-
-
Genovese, L.1
Neelov, A.2
Goedecker, S.3
Deutsch, T.4
Ghasemi, S.A.5
Willand, A.6
Caliste, D.7
Zilberberg, O.8
Rayson, M.9
Bergman, A.10
Schneider, R.11
-
20
-
-
0023365831
-
The local convergence of Broyden-like Methods on Lipschitzian problems in Hilbert spaces
-
Griewank A.: The local convergence of Broyden-like Methods on Lipschitzian problems in Hilbert spaces. SIAM Numer. Anal. 24(3), 684 (1987).
-
(1987)
SIAM Numer. Anal.
, vol.24
, Issue.3
, pp. 684
-
-
Griewank, A.1
-
22
-
-
0942277374
-
Krylov subspace accelerated inexact Newton method for linear and nonlinear equations
-
Harrison R. J.: Krylov subspace accelerated inexact Newton method for linear and nonlinear equations. J. Comput. Chem. 25, 328 (2003).
-
(2003)
J. Comput. Chem.
, vol.25
, pp. 328
-
-
Harrison, R.J.1
-
24
-
-
52949120659
-
The augmented Roothaan-Hall method for optimizing Hartree-Fock and Kohn-Sham density matrices
-
PMID: 124106
-
S. Høst, J. Olsen, B. Jansik, L. Thøgersen, P. Jørgensen, T. Helgaker, The augmented Roothaan-Hall method for optimizing Hartree-Fock and Kohn-Sham density matrices. J. Chem. Phys. 129(12), PMID: 124106 (2008).
-
(2008)
J. Chem. Phys.
, vol.129
, Issue.12
-
-
Høst, S.1
Olsen, J.2
Jansik, B.3
Thøgersen, L.4
Jørgensen, P.5
Helgaker, T.6
-
25
-
-
76349098497
-
Accelerating self-consistent field convergence with the augmented RoothaanHall energy function
-
Hu X., Yang W.: Accelerating self-consistent field convergence with the augmented RoothaanHall energy function. J. Chem. Phys. 132(5), 054109 (2010).
-
(2010)
J. Chem. Phys.
, vol.132
, Issue.5
, pp. 054109
-
-
Hu, X.1
Yang, W.2
-
26
-
-
0037861711
-
-
Tech. Rep. 89-09, Faculty of Technical Mathematics and Informatics, Delft University of Technology, The Netherlands
-
Y. Huang, H. van der Vorst, Some observations on the convergence behavior of GMRES, Tech. Rep. 89-09, Faculty of Technical Mathematics and Informatics, Delft University of Technology, The Netherlands (1989).
-
(1989)
Some observations on the convergence behavior of GMRES
-
-
Huang, Y.1
van der Vorst, H.2
-
27
-
-
0009419557
-
Efficient recursive implementation of the modified Broyden method and the direct inversion in the iterative subspace method: acceleration of self-consistent calculations
-
Kawata M., Kortis C. M., Friesner R. A.: Efficient recursive implementation of the modified Broyden method and the direct inversion in the iterative subspace method: acceleration of self-consistent calculations. J. Chem. Phys. 108(11), 4426 (1998).
-
(1998)
J. Chem. Phys.
, vol.108
, Issue.11
, pp. 4426
-
-
Kawata, M.1
Kortis, C.M.2
Friesner, R.A.3
-
30
-
-
2442537377
-
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
-
Kresse G., Furthmüller J.: Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54(16), 11169 (1996).
-
(1996)
Phys. Rev. B
, vol.54
, Issue.16
, pp. 11169
-
-
Kresse, G.1
Furthmüller, J.2
-
31
-
-
34547544279
-
Converging self-consistent field equations in quantum chemistry-recent achievements and remaining challenges
-
Kudin K. N., Scuseria G. E.: Converging self-consistent field equations in quantum chemistry-recent achievements and remaining challenges. ESAIM: Math. Model. Numer. Anal. 41(2), 281 (2007).
-
(2007)
ESAIM: Math. Model. Numer. Anal.
, vol.41
, Issue.2
, pp. 281
-
-
Kudin, K.N.1
Scuseria, G.E.2
-
32
-
-
0037088353
-
A black-box self-consistent field iteration convergence algorithm: one step closer
-
Kudin K. N., Scuseria G. E., Cancès E.: A black-box self-consistent field iteration convergence algorithm: one step closer. J. Chem. Phys. 116, 8255 (2002).
-
(2002)
J. Chem. Phys.
, vol.116
, pp. 8255
-
-
Kudin, K.N.1
Scuseria, G.E.2
Cancès, E.3
-
33
-
-
29344456278
-
Convergence analysis of Krylov subspace methods
-
Liesen J., Tichy P.: Convergence analysis of Krylov subspace methods. GAMM-Mitteilungen 27(2), 153 (2004).
-
(2004)
GAMM-Mitteilungen
, vol.27
, Issue.2
, pp. 153
-
-
Liesen, J.1
Tichy, P.2
-
34
-
-
50049090380
-
Robust mixing for ab initio quantum mechanical calculations
-
Marks L. D., Luke D. R.: Robust mixing for ab initio quantum mechanical calculations. Phys. Rev. B 78(8), 075114 (2008).
-
(2008)
Phys. Rev. B
, vol.78
, Issue.8
, pp. 075114
-
-
Marks, L.D.1
Luke, D.R.2
-
35
-
-
34250251267
-
Combination of the sequential secant method and Broyden's method with projected updates
-
Martinez J. M., Lopez T. L.: Combination of the sequential secant method and Broyden's method with projected updates. Computing 25, 379 (1980).
-
(1980)
Computing
, vol.25
, pp. 379
-
-
Martinez, J.M.1
Lopez, T.L.2
-
37
-
-
84986524957
-
Convergence acceleration of iterative sequences. The case of SCF iteration
-
Pulay P.: Convergence acceleration of iterative sequences. The case of SCF iteration. Chem. Phys. Lett. 73(2), 393 (1980).
-
(1980)
Chem. Phys. Lett.
, vol.73
, Issue.2
, pp. 393
-
-
Pulay, P.1
-
38
-
-
44349162071
-
Improved SCF convergence acceleration
-
Pulay P.: Improved SCF convergence acceleration. J. Comput. Chem. 3(4), 556 (1982).
-
(1982)
J. Comput. Chem.
, vol.3
, Issue.4
, pp. 556
-
-
Pulay, P.1
-
42
-
-
0000048673
-
GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Saad Y., Schultz M. H.: GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856 (1986).
-
(1986)
SIAM J. Sci. Stat. Comput.
, vol.7
, pp. 856
-
-
Saad, Y.1
Schultz, M.H.2
-
43
-
-
65349138836
-
Direct minimization for calculating invariant subspaces in density functional computations of the electronic structure
-
Schneider R., Rohwedder T., Blauert J., Neelov A.: Direct minimization for calculating invariant subspaces in density functional computations of the electronic structure. J. Comput. Math. 27, 360 (2009).
-
(2009)
J. Comput. Math.
, vol.27
, pp. 360
-
-
Schneider, R.1
Rohwedder, T.2
Blauert, J.3
Neelov, A.4
-
44
-
-
70450186006
-
-
Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics 2009. AIP Conference Proceedings
-
H. H. B. Sørensen, O. Østerby, in On one-point iterations and DIIS. Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP Conference Proceedings, vol 1168, p. 468 (2009).
-
(2009)
On one-point iterations and DIIS
, vol.1168
, pp. 468
-
-
Sørensen, H.H.B.1
Østerby, O.2
-
45
-
-
34547554967
-
The trust-region self-consistent field iteration method in Kohn-Sham density functional theory
-
Thogersen L., Olsen J., Köhn A., Jorgensen P., Salek P., Helgaker T.: The trust-region self-consistent field iteration method in Kohn-Sham density functional theory. J. Chem. Phys. 123, 074103 (2005).
-
(2005)
J. Chem. Phys.
, vol.123
, pp. 074103
-
-
Thogersen, L.1
Olsen, J.2
Köhn, A.3
Jorgensen, P.4
Salek, P.5
Helgaker, T.6
-
46
-
-
0027701865
-
The superlinear convergence behaviour of GMRES
-
van der Vorst H. A., Vuik C.: The superlinear convergence behaviour of GMRES. J. Comput. Appl. Math. 48(3), 327 (1993).
-
(1993)
J. Comput. Appl. Math.
, vol.48
, Issue.3
, pp. 327
-
-
van der Vorst, H.A.1
Vuik, C.2
-
47
-
-
70449440455
-
On the convergence of the self-consistent field iteration for a class of nonlinear eigenvalue problems
-
Yang C., Gao W., Meza J. C.: On the convergence of the self-consistent field iteration for a class of nonlinear eigenvalue problems. SIAM J. Matrix Anal. Appl. 30(4), 1773 (2008).
-
(2008)
SIAM J. Matrix Anal. Appl.
, vol.30
, Issue.4
, pp. 1773
-
-
Yang, C.1
Gao, W.2
Meza, J.C.3
-
48
-
-
41849151209
-
A trust region direct constrained minimization algorithm for the Kohn-Sham equation
-
(electronic), 15A18 (65F15 65K10)
-
C. Yang, J. C. Meza, L.-W. Wang, A trust region direct constrained minimization algorithm for the Kohn-Sham equation. SIAM J. Sci. Comput. 29(5), 1854 (electronic), 15A18 (65F15 65K10) (2007).
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, Issue.5
, pp. 1854
-
-
Yang, C.1
Meza, J.C.2
Wang, L.-W.3
-
49
-
-
44449135552
-
An efficient algorithm for solving nonlinear equations with minimal number of trial vectors: Applications to atomic-orbital based coupled-cluster theory
-
Zółkowski M., Weijo V., Jørgensen P., Olsen J.: An efficient algorithm for solving nonlinear equations with minimal number of trial vectors: Applications to atomic-orbital based coupled-cluster theory. J. Chem. Phys. 128, 204105 (2008).
-
(2008)
J. Chem. Phys.
, vol.128
, pp. 204105
-
-
Zółkowski, M.1
Weijo, V.2
Jørgensen, P.3
Olsen, J.4
|