On eigenvalue bounds for the finite-state birth-death process intensity matrix

The paper sets forth a novel eigenvalue interlacing property across the finite-state birth-death process intensity matrix and two clearly identified submatrices as an extension of Cauchy’s interlace theorem for Hermitian matrix eigenvalues. A supplemental proof involving an examination of probabilit...

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Bibliographic Details
Main Authors: Tan, R.R.P, Ikeda, K, Garces, Len Patrick Dominic M
Format: text
Published: Archīum Ateneo 2020
Subjects:
Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/134
https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1133&context=mathematics-faculty-pubs
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Institution: Ateneo De Manila University