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

• المؤلفون الرئيسيون: Tan, R.R.P, Ikeda, K, Garces, Len Patrick Dominic M
• التنسيق: text
• منشور في: Archīum Ateneo 2020
• الموضوعات: Discrete Mathematics and Combinatorics; Mathematics
• الوصول للمادة أونلاين: https://archium.ateneo.edu/mathematics-faculty-pubs/134; https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1133&context=mathematics-faculty-pubs

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...