On variation of eigenvalues of birth and death matrices and random walk matrices

K. Castillo; I. Zaballa

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arXiv · 1906.08644

On variation of eigenvalues of birth and death matrices and random walk matrices

K. Castillo·I. Zaballa

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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

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K. Castillo, I. Zaballa. 2019-06-19. On variation of eigenvalues of birth and death matrices and random walk matrices. https://arxiv.org/abs/1906.08644

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