Kernel polynomial method as an efficient () scheme for optical spectra calculations including electron–hole interaction

Abstract

The kernel polynomial method (KPM) is shown to be an efficient tool to handle the computationally demanding task of optical spectra calculations including electron–hole interaction via solution of the Bethe–Salpeter equation. Examples of application are given for silicon and lithium fluoride crystals, which show that the KPM can be a good alternative to other iterative methods for indirect solution of the very high dimension eigenvalue problem.