可厄米三对角矩阵上下谱的锐界

Sharp Bounds for Upper and Bottom Spectrum of Hermitizable Tridiagonal Matrices

中文关键词:  可厄米矩阵  等谱矩阵  上谱和下谱

英文关键词:Hermitizable matrix  isospectral matrices  upper and bottom spectrum

中文摘要:

      本文利用三对角矩阵特征对子(即特征值及其对应的特征向量)的特点,结合等谱变换及生灭过程稳定速度的锐界,给出可厄米三对角矩阵上、下谱的严格界限.

英文摘要:

      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.