一类非自伴矩阵的谱
谱理论
2014-05-13 v1 数值分析
摘要
我们考虑一类新的非自伴矩阵，它们源于一个不定自伴线性矩阵束，并得到当矩阵大小趋于无穷时谱的渐近性。我们证明当某个参数c等于0和不为0时，谱有本质区别，并且谱的某些特征依赖于c的丢番图性质。
引用
@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}
}
备注
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