Now showing items 1-2 of 2
Fast construction of hierarchical matrix representation from matrix-vector multiplication
(Journal of Computational Physics, 2011-05-10)
We develop a hierarchical matrix construction algorithm using matrix-vector multiplications, based on the randomized singular value decomposition of low-rank matrices. The algorithm uses O(logn) applications of the matrix ...
Effective Maxwell equations from time-dependent density functional theory
(Acta Mathematica Sinica, English Series, 2011-01-20)
The behavior of interacting electrons in a perfect crystal under macroscopic external electric and magnetic fields is studied. Effective Maxwell equations for the macroscopic electric and magnetic fields are derived starting ...