The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix

نویسندگان

چکیده

This paper is concerned with the distance of a symmetric tridiagonal Toeplitz matrix $T$ to manifold similarly structured singular matrices, and determining closest in this manifold. Explicit formulas are presented, exploiting analysis sensitivity spectrum respect structure-preserving perturbations its entries.

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ژورنال

عنوان ژورنال: Electronic Transactions on Numerical Analysis

سال: 2023

ISSN: ['1068-9613', '1097-4067']

DOI: https://doi.org/10.1553/etna_vol59s43