Numerical algorithm for the standard pairing problem based on the Heine–Stieltjes correspondence and the polynomial approach

We present a detailed study of the computational complexity of a numerical algorithm based on the Heine–Stieltjes correspondence following the new approach we proposed recently for solving the Bethe ansatz (Gaudin–Richardson) equations of the standard pairing problem. For k pairs of valence nucleons...

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Veröffentlicht in:	Computer physics communications 2014-10, Vol.185 (10), p.2714-2723
Hauptverfasser:	Guan, Xin, Launey, Kristina D., Xie, Mingxia, Bao, Lina, Pan, Feng, Draayer, Jerry P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Bethe ansatz equations Computer simulation Energy levels Exact pairing problem Heine–Stieltjes polynomial approach Mathematical analysis Mathematical models Monte Carlo sampling procedure Newton–Raphson algorithm Numerical analysis Polynomials Richardson–Gaudin theory Summaries
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