On variation of eigenvalues of birth and death matrices and random walk matrices
Probability
2019-06-21 v1
Abstract
The purpose of this note is twofold: firstly to improve the known results on variation of extreme eigenvalues of birth and death matrices and random walk matrices; and secondly to progress towards the solution of a thirty years old open problem concerning the variation of eigenvalues of these matrices. Keywords: Birth and death matrices, random walk matrices, eigenvalues, monotonicity
Keywords
Cite
@article{arxiv.1906.08644,
title = {On variation of eigenvalues of birth and death matrices and random walk matrices},
author = {K. Castillo and I. Zaballa},
journal= {arXiv preprint arXiv:1906.08644},
year = {2019}
}