| Sharp Bounds for Upper and Bottom Spectrum of Hermitizable Tridiagonal Matrices |
| Received:March 06, 2024 Revised:March 14, 2024 |
| Key Words:
Hermitizable matrix isospectral matrices upper and bottom spectrum
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.\,11771046; 12101186) and Beijing Natural Science Foundation (Grant No.\,1254039). |
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| Abstract: |
| We display sharp bounds for upper and lower spectrum of a Hermitizable tridiagonal matrix. The representations are brought to light by exploiting the characteristic for eigenpairs (eigenvalue and its corresponding eigenvector) of tridiagonal matrices, isospectral transforms and sharp bounds for speed stability of birth-death processes. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2025.01.010 |
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