arXiv Open Access 2022

On the banded Toeplitz structured distance to symmetric positive semidefiniteness

Silvia Noschese Lothar Reichel

Lihat Sumber

Abstrak

This paper is concerned with the determination of a close real banded positive definite Toeplitz matrix in the Frobenius norm to a given square real banded matrix. While it is straightforward to determine the closest banded Toeplitz matrix to a given square matrix, the additional requirement of positive definiteness makes the problem difficult. We review available theoretical results and provide a simple approach to determine a banded positive definite Toeplitz matrix.

Topik & Kata Kunci

math.NA

Penulis (2)

Silvia Noschese

Lothar Reichel

Format Sitasi

APA MLA BibTeX

Noschese, S., Reichel, L. (2022). On the banded Toeplitz structured distance to symmetric positive semidefiniteness. https://arxiv.org/abs/2204.05812

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Informasi Jurnal

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