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Exact Diagonalization Techniques

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Computational Many-Particle Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 739))

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Reference

  1. J. Hubbard, Proc. Roy. Soc. London, Ser. A 276, 238 (1963)

    Article  ADS  Google Scholar 

  2. M.C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963)

    Article  ADS  Google Scholar 

  3. J. Kanamori, Prog. Theor. Phys. 30, 275 (1963)

    Article  MATH  ADS  Google Scholar 

  4. E.H. Lieb, F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968)

    Article  ADS  Google Scholar 

  5. F.H.L. Essler, H. Frahm, F. Göhmann, A. Klümper, V.E. Korepin, The One-Dimensional Hubbard Model (Cambridge University Press, Cambridge, 2005)

    Book  MATH  Google Scholar 

  6. R. Sedgewick, Algorithmen (Addison-Wesley, Bonn, 1992)

    Google Scholar 

  7. S. Sykora, A. Hübsch, K.W. Becker, G. Wellein, H. Fehske, Phys. Rev. B 71, 045112 (2005)

    Article  ADS  Google Scholar 

  8. B. Bäuml, G. Wellein, H. Fehske, Phys. Rev. B 58, 3663 (1998)

    Article  ADS  Google Scholar 

  9. J.K. Cullum, R.A. Willoughby, Lanczos Algorithms for Large Symmetric Eigenvalue Computations, vol. I & II (Birkhäuser, Boston, 1985)

    MATH  Google Scholar 

  10. C. Lanczos, J. Res. Nat. Bur. Stand. 45, 255 (1950)

    MathSciNet  Google Scholar 

  11. Y. Saad, Numerical Methods for Large Eigenvalue Problems (University Press, Manchester, 1992). http://www-users.cs.umn.edu/saad/books.html

    Google Scholar 

  12. Linear Algebra PACKage. http://www.netlib.org

    Google Scholar 

  13. G.L.G. Sleijpen, H.A. van der Vorst, SIAM J. Matrix Anal. Appl. 17, 401 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  14. E.R. Davidson, J. Comput. Phys. 17, 87 (1975)

    Article  ADS  Google Scholar 

  15. C.G.J. Jacobi, J. Reine und Angew. Math. 30, 51 (1846)

    MATH  Google Scholar 

  16. Y. Saad, Iterative Methods for Sparse Linear Systems, 2nd edn. (SIAM, Philadelphia, 2003). http://www-users.cs.umn.edu/saad/books.html

    Google Scholar 

  17. D.R. Fokkema, G.L.G. Sleijpen, H.A. van der Vorst, SIAM J. Sci. Comp. 20, 94 (1998)

    Article  Google Scholar 

  18. Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, H. van der Vorst (eds.), Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide (SIAM, Philadelphia, 2000). http://www.cs.utk.edu/dongarra/etemplates/

    Google Scholar 

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Weiße, A., Fehske, H. (2008). Exact Diagonalization Techniques. In: Fehske, H., Schneider, R., Weiße, A. (eds) Computational Many-Particle Physics. Lecture Notes in Physics, vol 739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74686-7_18

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