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added SpM paper
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yomichi committed Sep 17, 2024
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4 changes: 4 additions & 0 deletions doc/about.rst
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Expand Up @@ -77,6 +77,10 @@ In addition to the above two libraries, you may use impurity solvers listed belo

For some of them, they provide a BibTeX entry for each paper in the above cites.

When you use the SpM method for analytic continuation, please cite the following paper:

* `Junya Otsuki, Masayuki Ohzeki, Hiroshi Shinaoka, and Kazuyoshi Yoshimi, Phys. Rev. E 95, 061302(R) (2017) <https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.061302>`_

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2 changes: 1 addition & 1 deletion doc/analytic_continuation/spm.rst
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Expand Up @@ -9,7 +9,7 @@ The sparse-modeling (SpM) method is a method for the analytic continuation of th
where :math:`\Sigma(\tau)` is the self-energy in imaginary time and :math:`\Sigma(\omega)` is the self-energy in real frequency.

In the SpM method, the kernel matrix of the integral equation, :math:`e^{-\tau\omega}/(1+e^{-\beta\omega})` is decomposed by the singular value decomposition (SVD),
In `the SpM method <https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.061302>`_, the kernel matrix of the integral equation, :math:`e^{-\tau\omega}/(1+e^{-\beta\omega})` is decomposed by the singular value decomposition (SVD),
and the self-energies :math:`\Sigma(\tau)` and :math:`\Sigma(\omega)` are transformed by the left and right singular vectors, respectively.

The SpM method is implemented in the ``dcore_anacont`` program.
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