Guaranteed convergence for a class of coupled-cluster methods based on Arponen's extended theory

References

• J.S. Arponen, Ann. Phys. 151 (2), 311–382 (1983). doi:10.1016/0003-4916(83)90284-1.
   Web of Science ®Google Scholar
• J.S. Arponen, R.F. Bishop and E. Pajanne, Phys. Rev. A 36, 2519–2538 (1987). doi:10.1103/PhysRevA.36.2519.
   PubMed Web of Science ®Google Scholar
• T. Helgaker and P. Jørgensen, Adv. Quant. Chem. 19, 183–245 (1988). doi:10.1016/S0065-3276(08)60616-4.
   Google Scholar
• J. Hubbard, Proc. Roy. Soc. A: Math. Phys. Eng. Sci. 240 (1223), 539–560 (1957). doi:10.1098/rspa.1957.0106.
   Google Scholar
• F. Coester, Nucl. Phys. 7, 421–424 (1958). doi:10.1016/0029-5582(58)90280-3.
   Web of Science ®Google Scholar
• F. Coester and H. Kümmel, Nucl. Phys. 17, 477–485 (1960). doi:10.1016/0029-5582(60)90140-1.
   Web of Science ®Google Scholar
• J. Paldus, in Theory and Applications of Computational Chemistry: The First Forty Years, edited by C.E. Dykstra, G. Frenking, K.S. Kim, and G.E. Scuseria (Elsevier, Edinburgh, London, Amsterdam, 2005), Chap. 7, p. 115.
   Google Scholar
• R.J. Bartlett and M. Musiał, Rev. Mod. Phys. 79 (1), 291–352 (2007). doi:10.1103/RevModPhys.79.291.
   Web of Science ®Google Scholar
• G. Hagen, T. Papenbrock, M. Hjorth-Jensen and D.J. Dean, Rep. Prog. Phys. 77 (9), 096302 (2014). doi:10.1088/0034-4885/77/9/096302.
   PubMedGoogle Scholar
• K. Emrich and J.G. Zabolitzky, in Recent Progress in Many-Body Theories, edited by H. Kümmel and M.L. Ristig (Springer, Berlin, Heidelberg, 1984), pp. 271–278.
   Google Scholar
• B.H.J. McKellar, C.R. Leonard and L.C.L. Hollenberg, Int. J. Mod. Phys. B 14, 2023–2037 (2000). doi:10.1142/S0217979200001151.
   Web of Science ®Google Scholar
• L.S. Cederbaum, O.E. Alon and A.I. Streltsov, Phys. Rev. A 73 (4) (2006). doi:10.1103/PhysRevA.73.043609.
   Google Scholar
• J.S. Arponen, J. Phys. G: Nucl. Phys. 8, L129 (1982). doi:10.1088/0305-4616/8/8/004.
   Web of Science ®Google Scholar
• J.S. Arponen, R.F. Bishop and E. Pajanne, Phys. Rev. A 36, 2539–2549 (1987). doi:10.1103/PhysRevA.36.2539.
   PubMed Web of Science ®Google Scholar
• R.F. Bishop, Theor. Chim. Acta 80, 95–148 (1991). doi:10.1007/BF01119617.
   Google Scholar
• B. Cooper and P.J. Knowles, J. Chem. Phys. 133 (234102), 20120 (2010). doi:10.1063/1.3520564.
   Google Scholar
• F.A. Evangelista, J. Chem. Phys. 134 (22), 224102 (2011). doi:10.1063/1.3598471.
   PubMed Web of Science ®Google Scholar
• T. Van Voorhis and M. Head-Gordon, Chem. Phys. Lett. 330, 585–594 (2000). doi:10.1016/S0009-2614(00)01137-4.
   Web of Science ®Google Scholar
• E.F.C. Byrd, T. Van Voorhis and M. Head-Gordon, J. Phys. Chem. B 106 (33), 8070–8077 (2002). doi:10.1021/jp020255u.
   Web of Science ®Google Scholar
• S. Lehtola, J. Parkhill and M. Head-Gordon, J. Chem. Phys. 145, 134110 (2016). doi:10.1063/1.4964317.
   PubMed Web of Science ®Google Scholar
• E. Zarantonello, Technical Report 160 (U.S. Army Math. Res. Centre, Madison, WI, 1960).
   Google Scholar
• E. Zeidler, Nonlinear Functional Analysis and Its Application II/B (Springer, New York, Heidelberg, Berlin, 1990).
   Google Scholar
• A. Laestadius and S. Kvaal, SIAM J. Numer. Anal. 56 (2), 660–683 (2018). doi:10.1137/17M1116611.
   Web of Science ®Google Scholar
• A. Laestadius and F.M. Faulstich, Mol. Phys. 117 (17), 2362–2373 (2019). doi:10.1080/00268976.2018.1564848.
   Web of Science ®Google Scholar
• R. Schneider, Numer. Math. 113, 433–471 (2009). doi:10.1007/s00211-009-0237-3.
   Web of Science ®Google Scholar
• T. Rohwedder, ESAIM: Math. Mod. Num. Anal. 47, 421–447 (2013). doi:10.1051/m2an/2012035.
   Google Scholar
• T. Rohwedder and R. Schneider, ESAIM: Math. Mod. Num. Anal. 47, 1553–1582 (2013). doi:10.1051/m2an/2013075.
   Web of Science ®Google Scholar
• R.P. Feynman, Phys. Rev. 56 (4), 340–343 (1939). doi:10.1103/PhysRev.56.340.
   Google Scholar
• M. Reed and B. Simon, Methods of Modern Mathematical Physics I: Functional Analysis (Academic Press, San Diego, New York, 1980).
   Google Scholar
• K. Schmüdgen, Unbounded Self-adjoint Operators on Hilbert Space. Graduate Texts in Mathematics (Springer, Dordrecht, Heidelberg, 2012).
   Google Scholar
• C. Hättig, W. Klopper, A. Köhn and D.P. Tew, Chem. Rev. 112, 4–74 (2012). doi:10.1021/cr200168z.
   PubMed Web of Science ®Google Scholar
• L. Adamowicz, J.-P. Malrieu and V.V. Ivanov, J. Chem. Phys. 112 (23), 10075–10084 (2000). doi:10.1063/1.481649.
   Web of Science ®Google Scholar
• K. Kowalski, J. Chem. Phys. 148, 094104 (2018). doi:10.1063/1.5010693.
   Google Scholar
• F. Faulstich, A. Laestadius, S. Kvaal, Ö. Legeza and R. Schneider, SIAM J. Num. Anal. 57, 2579 (2019). doi:10.1137/18M1171436.
   Web of Science ®Google Scholar
• T. Kinoshita, O. Hino and R.J. Bartlett, J. Chem. Phys. 123 (7), 074106 (2005). doi:10.1063/1.2000251.
   PubMed Web of Science ®Google Scholar
• F.M. Faulstich, M. Máté, A. Laestadius, M.A. Csirik, L. Veis, A. Antalik, J. Brabec, R. Schneider, J. Pittner, S. Kvaal and Ö. Legeza, J. Chem. Theor. Comp. 15 (4), 2206–2220 (2019). doi:10.1021/acs.jctc.8b00960.
   PubMed Web of Science ®Google Scholar
• E. Zeidler, Nonlinear Functional Analysis and Its Application I (Springer, New York Heidelberg Berlin, 1986).
   Google Scholar
• A. Engels-Putzka and M. Hanrath, Mol. Phys. 107 (2), 143–155 (2009). doi:10.1080/00268970902724922.
   Web of Science ®Google Scholar
• K. Jankowski, L. Meissner and J. Wasilewski, Int. J. Quant. Chem. 28 (6), 931–942 (1985). doi:10.1002/qua.v28:6. doi: 10.1002/qua.560280622
   Web of Science ®Google Scholar
• T.J. Lee and P.R. Taylor, Int. J. Quant. Chem. 36 (S23), 199–207 (1989). doi:10.1002/qua.v36:23+. doi: 10.1002/qua.560360824
   Web of Science ®Google Scholar
• C.L. Janssen and I.M.B. Nielsen, Chem. Phys. Lett. 290 (4), 423–430 (1998). doi:10.1016/S0009-2614(98)00504-1.
   Web of Science ®Google Scholar
• W. Jiang, N.J. DeYonker and A.K. Wilson, J. Chem. Theor. Comp. 8 (2), 460–468 (2012). doi:10.1021/ct2006852 PMID: 26596596.
   PubMed Web of Science ®Google Scholar
• O. Christiansen, H. Koch and P. Jørgensen, Chem. Phys. Lett. 243, 409–418 (1995). doi:10.1016/0009-2614(95)00841-Q.
   Web of Science ®Google Scholar
• T.B. Pedersen, B. Fernández and H. Koch, J. Chem. Phys. 114, 6983 (2001). doi:10.1063/1.1358866.
   Web of Science ®Google Scholar