In collaboration with our physics department, we are developing methods for estimating the eigenvalue spectra of large matrices. The methods construct the power spectrum of a density function using both Fourier series and Maximum Entropy reconstruction methods. The user of such methods only needs to implement matrix vector multiplication. Thus large sparse problems can be tacked effectively.

Hexagonal lattice

Papers

Thomas, K.S., Cox S.J., Beckett, D.H., Hiett, B.P., Generowicz, J.M., Daniell, G.J., (2001) Eigenvalue Spectrum Estimation and Photonic Crystals. Lecture Notes in Computer Science. Proceedings of Euro-Par 2001 Conference (Manchester 28-31 Aug 2001). 578-586