References
- E. Runge and E. Gross, Phys. Rev. Lett. 52 (12), 997–1000 (1984).
- E. Gross and W. Kohn, Adv. Quantum Chem. 21 (255), 287–323 (1990).
- M.E. Casida, in Recent Advances in Density Functional Methods, Part I, edited by D.P. Chong (World Scientific, Singapore, 1995), Vol. 155, pp. 1207–1216.
- R.E. Stratmann, G.E. Scuseria, and M.J. Frisch, J. Chem. Phys. 109, 8218 (1998).
- C. Cramer and D. Truhlar, Phys. Chem. Chem. Phys. 11 (46), 10757–10816 (2009).
- L. Reining, V. Olevano, A. Rubio, and G. Onida, Phys. Rev. Lett. 88, 066404 (2002).
- E.E. Salpeter and H.A. Bethe, Phys. Rev. 82 (2), 309–310 (1951).
- L. Hedin, Phys. Rev. 139, A796 (1965).
- G. Onida, L. Reining, and A. Rubio, Rev. Mod. Phys. 74, 601 (2002).
- W.G. Schmidt, S. Glutsch, P.H. Hahn, and F. Bechstedt, Phys. Rev. B 67, 085307 (2003).
- S. Körbel, P. Boulanger, I. Duchemin, X. Blase, M. AL Marques, and S. Botti, J. Chem. Theory Comput. 10 (9), 3934–3943 (2014).
- E. Rebolini, J. Toulouse, A.M. Teale, T. Helgaker, and A. Savin, Phys. Rev. A 91, 032519 (2015).
- J. Deslippe, G. Samsonidze, D.A. Strubbe, M. Jain, M.L. Cohen, and S. Louie, Comp. Phys. Commun. 183, 1269 (2012).
- E. Rebolini, J. Toulouse, and A. Savin, in Concepts and Methods in Modern Theoretical Chemistry, edited by S. Ghosh and P. Chattaraj, Vol 1, Electronic Structure and Reactivity, (CPC Press, Boca Raton, 2013), p. 367.
- E. Rebolini, J. Toulouse, and A. Savin, Mol. Phys. 111, 1219 (2013).
- V. Khoromskaia, Comp. Methods Appl. Math. 14, 89 (2014).
- V. Khoromskaia and B.N. Khoromskij, Comp. Phys. Commun. 185 (1), 2–10 (2014).
- B. N. Khoromskij, Chemometr. Intell. Lab. Syst. 110 (1), 1–19 (2012).
- V. Khoromskaia and B.N. Khoromskij, Phys. Chem. Chem. Phys. 17, 31491 (2015).
- V. Khoromskaia, B.N. Khoromskij, and R. Schneider, SIAM J. Sci. Comput. 35 (2), A987–A1010 (2013).
- P. Benner and H. Faßbender, Linear Algebra Appl. 263, 75 (1997).
- P. Benner, V. Mehrmann, and H. Xu, Numer. Math. 78 (3), 329–358 (1998).
- D. Kressner, Numerical Methods for General and Structured Eigenvalue Problems, Vol. 46, Lecture Notes in Computational Science and Engineering (Springer, Berlin/Heidelberg, 2005).
- H. Faßbender and D. Kressner, GAMM Mitteilungen 29 (2), 297–318 (2006).
- M. Shao, F.H. da Jornada, C. Yang, J. Deslippe, and S. Louie, Linear Algebra Appl. 488, 148 (2016).
- A. Bunse-Gerstner and H. Faßbender, in Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, edited by P. Benner, M. Bollhöfer, D. Kressner, C. Mehl, and T. Stykel (Springer International Publishing, Heidelberg, 2015), pp. 3–23.
- Z. Bai and R.-C. Li, SIAM J. Matrix Anal. Appl. 33 (4), 10751100 (2012).
- Z. Bai and R.-C. Li, SIAM J. Matrix Anal. Appl. 34 (2), 392–416 (2013).
- A. Bunse-Gerstner, R. Byers, and V. Mehrmann, SIAM J. Matrix Anal. Appl. 13 (2), 419–453 (1992).
- D. Mackey, N. Mackey, and F. Tisseur, Electron. J. Linear Algebra 10, 106 (2003).
- D. Mackey, N. Mackey, C. Mehl, and V. Mehrmann, SIAM J. Matrix Anal. Appl. 28 (4), 1029–1051 (2006).
- C. Mehl, SIAM J. Matrix Anal. Appl. 30, 291 (2008).
- P. Benner, H. Faßbender, and C. Yang, Some remarks on the complex J-symmetric eigenproblem. Max Planck Institute Magdeburg, Preprint MPIMD/15-12 (July 2015).
- E. Napoli, E. Polizzi, and Y.Y. Saad, Efficient estimation of eigenvalue counts in an interval. arXiv:1308.4275v2, 2014.
- L. Lin, Y. Saad, and C. Yang, Approximating spectral densities of large matrices. arXiv:1308.5467.v2., 2015.
- P. Benner, V. Mehrmann, and D. Sorensen, editors, Dimension Reduction of Large-Scale Systems, Vol. 45, Lecture Notes in Computational Science and Engineering (Springer, Berlin, 2005).
- S. Reine, T. Helgaker, and R. Lindh, WIREs Comput. Mol. Sci. 2 (2), 290–303 (2012).
- T. Helgaker, P. Jørgensen, and J. Olsen, Molecular Electronic-Structure Theory (Wiley, Chichester, 1999).
- N. Beebe and J. Linderberg, Int. J. Quantum Chem. 12 (4), 683–705 (1977).
- S. Wilson, Comput. Phys. Commun. 58, 71 (1990).
- N. Higham, in Reliable Numerical Computations, edited by M.G. Cox and S.J. Hammarling (Oxford University Press, Oxford, 1990), pp. 161–185.
- T.H.J. Dunning, J. Chem. Phys. 90, 1007 (1989).
- H.-J. Werner, P.J. Knowles, G. Knizia, F.R. Manby, and M. Schütz, Wiley Interdiscip. Rev. Comput. Mol. Sci. 2 (2), 242–253 (2011).
- A. Hermann, W.G. Schmidt, and P. Schwerdfeger, Phys. Rev. Lett. 100, 207403 (2008).
- B.N. Khoromskij, J. Constr. Approx. 34 (2), 257–289 (2011).
- S. Dolgov, B. Khoromskij, D. Savostyanov, and I. Oseledets, Comp. Phys. Commun. 185 (4), 1207–1216 (2014).