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The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix (2206.02676v3)
Published 6 Jun 2022 in math.NA and cs.NA
Abstract: 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.