论文标题
对称的三角形Toeplitz矩阵的结构化距离
The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix
论文作者
论文摘要
本文涉及对称的Tridiagonal toeplitz矩阵$ t $与类似结构的单数矩阵的距离，并确定了该品种中最接近$ t $的矩阵。提出了明确的公式，以利用$ t $对结构的扰动的敏感性的分析。
This paper is concerned with the distance of a symmetric tridiagonal Toeplitz matrix $T$ to the variety of similarly structured singular matrices, and with determining the closest matrix to $T$ in this variety. Explicit formulas are presented, that exploit the analysis of the sensitivity of the spectrum of $T$ with respect to structure-preserving perturbations of its entries.
