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This paper deals with a general class of algorithms for the solution of fixed-point problems that we refer to as \emph{Anderson--Pulay acceleration}.
“An analysis for the DIIS acceleration method used in quantum chemistry calculations”
T. Rohwedder and R. Schneider · 1914
Earlier work this paper cites.
“The wave mechanics of an atom with a non-Coulomb central field. Part I. Theory and methods”
D.. Hartree · 1928
Earlier work this paper cites.
“Näherungsmethode zur Lösung des quantenmechanischen Mehrkörperproblems”
V. Fock · 1930
Earlier work this paper cites.
“The molecular orbital theory of chemical valency. VIII. A method of calculating ionization potentials”
G.. Hall · 1951
Earlier work this paper cites.
“New developments in molecular orbital theory”
C… Roothaan · 1951
Earlier work this paper cites.
“Inhomogeneous electron gas”
P. Hohenberg and W. Kohn · 1964
Earlier work this paper cites.
“Iterative procedures for nonlinear integral equations”
D.. Anderson · 1965
Earlier work this paper cites.
“A class of methods for solving nonlinear simultaneous equations”
C.. Broyden · 1965
Earlier work this paper cites.
“Self-consistent equations including exchange and correlation effects”
W. Kohn and L.. Sham · 1965
Earlier work this paper cites.
“Solving systems of nonlinear equations by Broyden’s method with projected updates”, Working Paper Series 169, 1977
D.. Gay and R.. Schnabel · 1977
Earlier work this paper cites.
“Convergence acceleration of iterative sequences. The case of SCF iteration”
P. Pulay · 1980
Earlier work this paper cites.
“Improved SCF convergence acceleration”
P. Pulay · 1982
Earlier work this paper cites.
“Geometry optimization by direct inversion in the iterative subspace”
P. Cs“’asz“’ar and P. Pulay · 1984
Earlier work this paper cites.
“A new method for diagonalising large matrices”
D.. Wood and A. Zunger · 1985
Earlier work this paper cites.
“GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems”
Y. Saad and M.. Schultz · 1986
Earlier work this paper cites.
“Density-functional exchange-energy approximation with correct asymptotic behavior”
A.. Becke · 1988
Earlier work this paper cites.
“Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density”
C. Lee, W. Yang and R.. Parr · 1988
Earlier work this paper cites.
“On Q Q -order and R R -order of convergence”
F.. Potra · 1989
Earlier work this paper cites.
“The C 2 -DIIS convergence acceleration algorithm”
H. Sellers · 1993
Earlier work this paper cites.
“A comparative study on methods for convergence acceleration of iterative vector sequences”
V. Eyert · 1996
Earlier work this paper cites.
“Any nonincreasing convergence curve is possible for GMRES”
A. Greenbaum, V. Pt“’ak and Z. Strakos · 1996
Earlier work this paper cites.
“ Ab initio
V. Eckert, P. Pulay and H.-J. Werner · 1997
Earlier work this paper cites.
“Krylov subspace acceleration for nonlinear multigrid schemes”
T. Washio and C.. Oosterlee · 1997
Cited alongside, same era.
“Design and application of a gradient-weighted moving finite element code I: in one dimension”
N.. Carlson and K. Miller · 1998
Cited alongside, same era.
“Efficient recursive implementation of the modified Broyden method and the direct inversion in the iterative subspace method: acceleration of self-consistent calculations”
M. Kawata, C.. Cortis and R.. Friesner · 1998
Cited alongside, same era.
“Truncation strategies for optimal Krylov subspace methods”
E. De · 1999
Cited alongside, same era.
“A comprehensive introduction to differential geometry”
M. Spivak · 1999
Cited alongside, same era.
“Can we outperform the DIIS approach for electronic structure calculations?”
“A nonlinear GMRES optimization algorithm for canonical tensor decomposition”
H. De · 2012
Later among the works it cites.
“Comparison of self-consistent field convergence acceleration techniques”
A.. Garza and G.. Scuseria · 2012
Later among the works it cites.
“Broyden updating, the good and the bad!”
A. Griewank · 2012
Later among the works it cites.
“A characterization of the behavior of the Anderson acceleration on linear problems”
F.. Potra and H. Engler · 2012
Later among the works it cites.
“Nonlinear acceleration of coupled fluid-structure transient thermal problems by Anderson mixing”
V. Ganine, N.. Hills and B.. Lapworth · 2013
Later among the works it cites.
“Leveraging Anderson acceleration for improved convergence of iterative solutions to transport systems”
J. Willert, W.. Taitano and D. Knoll · 2014
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“’E. Canc“‘es and C. Le · 2000
Cited alongside, same era.
“On the convergence of SCF algorithms for the Hartree–Fock equations”
“’E. Canc“‘es and C. Le · 2000
Cited alongside, same era.
“A black-box self-consistent field convergence algorithm: one step closer”
K.. Kudin, G.. Scuseria and E. Canc“‘es · 2002
Cited alongside, same era.
“The trust-region self-consistent field method in Kohn–Sham density-functional theory”
L. Thgersen et al · 2005
Cited alongside, same era.
“Numerical optimization”, Springer series in operations research and financial engineering
J. Nocedal and S.. Wright · 2006
Cited alongside, same era.
“Converging self-consistent field equations in quantum chemistry – Recent achievements and remaining challenges”
K.. Kudin and G.. Scuseria · 2007
Cited alongside, same era.
“Some comments on the DIIS method”
H. Shepard and M. Minkoff · 2007
Cited alongside, same era.
Later among the works it cites.
“Restarted Pulay mixing for efficient and robust acceleration of fixed-point iterations”
P.. Pratapa and P. Suryanarayana · 2015
Later among the works it cites.
“Convergence analysis for Anderson acceleration”
A. Toth and C.. Kelley · 2015
Later among the works it cites.
“Periodic Pulay method for robust and efficient convergence acceleration of self-consistent field iterations”
A.. Banerjee, P. Suryanarayana and J.. Pask · 2016
Later among the works it cites.
“Anderson acceleration of the alternating projections method for computing the nearest correlation matrix”
N.. Higham and N. Strabi“’c · 2016
Later among the works it cites.
“Anderson acceleration and application to the three-temperature energy equations”
H. An, X. Jia and H.. Walker · 2017
Later among the works it cites.
“PySCF: the Python-based simulations of chemistry framework”
Q. Sun et al · 2017
Later among the works it cites.
“Local improvement results for Anderson acceleration with inaccurate function evaluations”
A. Toth et al · 2017
Later among the works it cites.
“Shanks sequence transformations and Anderson acceleration”
C. Brezinski, M. Redivo-Zaglia and Y. Saad · 2018
Later among the works it cites.
“AA-ICP: iterative closest point with Anderson acceleration”
A.. Pavlov et al · 2018
Later among the works it cites.
“Fast K-Means clustering with Anderson acceleration” arXiv:1805.10638 [cs.LG], 2018
J. Zhang et al · 2018
Later among the works it cites.
“Comments on “Anderson acceleration, mixing and extrapolation””
D… Anderson · 2019
Later among the works it cites.
“Convergence of the EDIIS algorithm for nonlinear equations”
X. Chen and C.. Kelley · 2019
Later among the works it cites.
“Damped Anderson acceleration with restarts and monotonicity control for accelerating EM and EM-like algorithms”
N.. Henderson and R. Varadhan · 2019
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“A proof that Anderson acceleration increases the convergence rate in linearly converging fixed point methods (but not in quadratically converging ones)”
C. Evans, S. Pollock, L.. Rebholz and M. Xiao · 2020
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“Globally convergent type-I Anderson acceleration for non-smooth fixed-point iterations”
J. Zhang, B. O’Donoghue and S. Boyd · 2020
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