Solvers for the Hermitian and the pseudo-Hermitian Bethe–Salpeter equation in the Yambo code: Implementation and performance
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Milev, Petru
Mellado Pinto, Blanca
Nalabothula, Muralidhar
Esquembre Kucukalic, Ali
Alvarruiz, Fernando
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Abstract
This study aims to analyze the performance of two strategies in solving the structured eigenvalue problem deriving from the Bethe–Salpeter equation (BSE) in condensed matter physics. The BSE matrix is constructed with the Yambo code, and the two strategies are implemented by interfacing Yambo with the ScaLAPACK and ELPA libraries for direct diagonalization, and with the SLEPc library for the iterative approach. We consider both the Hermitian (Tamm–Dancoff approximation) and pseudo-Hermitian forms, addressing dense matrices of three different sizes.
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Milev, P., Mellado-Pinto, B., Nalabothula, M., Esquembre-Kučukalić, A., Alvarruiz, F., Ramos, E., Filippone, F., Molina-Sanchez, A., Wirtz, L., Roman, J. E., & Sangalli, D. (2026). Solvers for the hermitian and the pseudo-hermitian bethe–salpeter equation in the yambo code: Implementation and performance. Computational Condensed Matter, 47, e01279. https://doi.org/10.1016/j.cocom.2026.e01279
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https://doi.org/10.1016/j.cocom.2026.e01279Type of document
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