arXiv Open Access 2022

The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix

Silvia Noschese

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.NA

Penulis (1)

Silvia Noschese

Format Sitasi

APA MLA BibTeX

Noschese, S. (2022). The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix. https://arxiv.org/abs/2206.02676

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓