.. _shoulders_giants:

Standing on the shoulders of giants
===================================

This code is based on many concepts that are well-established in the literature.
Here, we give a (possibly incomplete) list of sources that we used.

Maximum Entropy:
	* `R. N. Silver, D. S. Sivia, and J. E. Gubernatis, Phys. Rev. B 41, 2380 (1990) <https://doi.org/10.1103/PhysRevB.41.2380>`_
	* `J. E. Gubernatis, M. Jarrell, R. N. Silver, and D. S. Sivia, Phys. Rev. B 44, 6011 (1991) <https://doi.org/10.1103/PhysRevB.44.6011>`_
	* `S. F. Gull and J. Skilling, IEE Proc.-F 131, 646 (1984) <https://ieeexplore.ieee.org/document/4646366/>`_
	* `J. Skilling, Classic Maximum Entropy, in Maximum Entropy and Bayesian Methods, edited by J. Skilling (Kluwer Academic Publishers, Dortrecht, 1989) pp. 45–52 <https://link.springer.com/book/10.1007/978-94-015-7860-8>`_
        * (SVD basis) `R. K. Bryan, Solving oversampled data problems by Maximum Entropy, in Maximum Entropy and Bayesian Methods, edited by P. F. Fougère (Kluwer Academic Publishers, Dordrecht, 1990), pp. 221–232 <https://www.springer.com/de/book/9780792309284>`_

Matrix-valued Green functions:
        * `G. J. Kraberger, R. Triebl, M. Zingl and M. Aichhorn, Phys. Rev. B 96, 155128 (2017) <https://link.aps.org/doi/10.1103/PhysRevB.96.155128>`_

Negetive spectral functions and PosNeg Entropy:
	* `E. Laue, J. Skilling,  and J. Staunton, J. Magn. Reson. 63, 418  (1985) <https://doi.org/10.1016/0022-2364(85)90338-5>`_
	* `S. Sibisi, Quantified Maxent: An NMR Application, in Maximum Entropy and Bayesian Methods, edited by P. F. Fougère (Kluwer Academic Publishers, Dordrecht,  1990) pp. 351–358 <https://www.springer.com/de/book/9780792309284>`_
	* `K. Maisinger, M. P. Hobson, and A. N. Lasenby, Mon. Not. R. Astron. Soc. 290, 313 (1997) <https://ieeexplore.ieee.org/document/8134919/>`_
	* `A. W. Jones, S. Hancock, A. S. Lasenby, R. D. Davies, C. M. Gutierrez, G. Rocha, R. A. Watson, and R. Rebolo, Mon. Not. R. Astron. Soc. 294, 582 (1998) <https://doi.org/10.1111/j.1365-8711.1998.01139.x>`_
	* `M. P. Hobson and A. N. Lasenby, Mon. Not. R. Astron. Soc. 298, 905 (1998) <https://doi.org/10.1046/j.1365-8711.1998.01707.x>`_
        * `G. J. Kraberger, R. Triebl, M. Zingl and M. Aichhorn, Phys. Rev. B 96, 155128 (2017) <https://link.aps.org/doi/10.1103/PhysRevB.96.155128>`_

Elementwise, Poorman:
        * `G. J. Kraberger, R. Triebl, M. Zingl and M. Aichhorn, Phys. Rev. B 96, 155128 (2017) <https://link.aps.org/doi/10.1103/PhysRevB.96.155128>`_


Continuation of self-energies:
	* (Direct) `X. Wang, E. Gull, L. de’ Medici, M. Capone, and A. J. Millis, Phys. Rev. B 80, 045101 (2009) <https://doi.org/10.1103/PhysRevB.80.045101>`_
	* (Inversion) `J. Mravlje and A. Georges, Phys. Rev. Lett. 117, 036401 (2016) <https://doi.org/10.1103/PhysRevLett.117.036401>`_

Analyzers:
	*  (classical) `S. F. Gull, Developements in Maximum Entropy Data Analysis, in Maximum Entropy and Bayesian Methods, edited by J. Skilling (Kluwer Academic Publishers, Dortrecht, 1989) pp. 53–71 <https://link.springer.com/book/10.1007/978-94-015-7860-8>`_
	* (Bryan) `R. K. Bryan, Solving oversampled data problems by Maximum Entropy, in Maximum Entropy and Bayesian Methods, edited by P. F. Fougère (Kluwer Academic Publishers, Dordrecht, 1990) pp. 221–232 <https://www.springer.com/de/book/9780792309284>`_
	* (chi2) `D. Bergeron and A.-M. S. Tremblay, Phys. Rev. E 94, 023303 (2016) <https://doi.org/10.1103/PhysRevE.94.023303>`_

Levenberg-Marquardt Minimizer:
        * `D. W. Marquardt, J. Soc. Ind. Appl. Math. 11, 431 (1963) <https://doi.org/10.1137/0111030>`_

Preblur:
        * `J. Skilling, Fundamentals of MaxEnt in data analysis, in Maximum Entropy in Action, edited by B. Buck and V. A. Macaulay (Clarendon Press, Oxford, UK, 1991), p. 19 <http://www.oupcanada.com/catalog/9780198539636.html>`_