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We propose a new algorithm for numerical evaluation of x-ray absorption spectra based on the Green’s function formalism in this paper. The method stands on the reduced-shifted conjugate-gradient (RSCG) method, which enables us to obtain the Green’s functions with different energy-shifts simultaneously. The seed switching technique is combined into the RSCG method to improve the numerical accuracy and robustness of the algorithm, which we refer to the RSCG-SS method. The RSCG-SS method is applied for calculations of x-ray absorption spectra at the L2,3-edges of transition metals in simple oxides as a benchmark. The theoretical spectra obtained by the new algorithms are identical to those obtained by the full-diagonalization method following the Fermi’s golden rule. The RSCG-SS method can also be applied for the calculation of spectra with a sizable Hamiltonian matrix (3300,000) with reasonable computational costs. [doi:10.2320/matertrans.MT-MN2019044]

Reduced-Shifted Conjugate-Gradient Method with Seed Switching for Calculating X-ray Absorption Spectra