Sharp bounds for upper and bottom spectrum of Hermitizable tridiagonal matrices
Received:March 06, 2024  Revised:March 06, 2024
Key Words: Hermitizable matrix   isospectral matrices   upper and bottom spectrum  
Fund Project:the Scientific Research Foundation for Young Teachers in Capital University of Economics and Business (Grant No. XRZ2021036)
Author NameAffiliation
Yueshuang Li* School of Statistics, Capital University of Economics and Business 
Lingdi Wang School of Mathematics and Statistics, Henan University 
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Abstract:
      We display sharp bounds for upper and lower spectrum of an 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.
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