Spectra of a class of non-self-adjoint matrices
Spectral Theory
2014-05-13 v1 Numerical Analysis
Abstract
We consider a new class of non-self-adjoint matrices that arise from an indefinite self-adjoint linear pencil of matrices, and obtain the spectral asymptotics of the spectra as the size of the matrices diverges to infinity. We prove that the spectrum is qualitatively different when a certain parameter equals , and when it is non-zero, and that certain features of the spectrum depend on Diophantine properties of .
Keywords
Cite
@article{arxiv.1311.6741,
title = {Spectra of a class of non-self-adjoint matrices},
author = {E. Brian Davies and Michael Levitin},
journal= {arXiv preprint arXiv:1311.6741},
year = {2014}
}
Comments
32 pages, 8 figures; movie file frames3e.mp4, Mathematica 7 notebook makemovie.nb and its listing makemovie.pdf are available for download from Ancillary files section of the menu