# Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation

@article{Benner2019ComputingTD, title={Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation}, author={P. Benner and V. Khoromskaia and B. Khoromskij and C. Yang}, journal={J. Comput. Phys.}, year={2019}, volume={382}, pages={221-239} }

Abstract In this paper, we introduce a new interpolation scheme to approximate the density of states (DOS) for a class of rank-structured matrices with application to the Tamm–Dancoff approximation (TDA) of the Bethe–Salpeter equation (BSE). The presented approach for approximating the DOS is based on two main techniques. First, we propose an economical method for calculating the traces of parametric matrix resolvents at interpolation points by taking advantage of the block-diagonal plus low… CONTINUE READING

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