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Toeplitz matrices are unitarily similar to symmetric matrices

Published:2017-05-26 Issue:10 Volume:65 Page:2131-2144
ISSN:0308-1087
Container-title:Linear and Multilinear Algebra
language:en
Short-container-title:Linear and Multilinear Algebra

Author:

Chien Mao-Ting¹,Liu Jianzhen²,Nakazato Hiroshi³,Tam Tin-Yau²

Affiliation:

1. Department of Mathematics, Soochow University, Taipei, Taiwan.

2. Department of Mathematics and Statistics, Auburn University, Auburn, AL, USA.

3. Faculty of Science and Technology, Department of Mathematical Sciences, Hirosaki University, Hirosaki, Japan.

Funder

Japan Society for the Promotion of Science

Taiwan Ministry of Science and Technology

Publisher

Informa UK Limited

Subject

Algebra and Number Theory

Link

https://www.tandfonline.com/doi/pdf/10.1080/03081087.2017.1330865

Reference20 articles.

1. The Toeplitz-Hausdorff Theorem and Ellipticity Conditions

2. Complex symmetric operators and applications

3. Unitary similarity to a complex symmetric matrix and its extension to orthogonal symmetric Lie algebras

4. Orthogonal similarity of a real matrix and its transpose

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1. A Low-Complexity Quantum Simulation Framework for Toeplitz-Structured Matrix and Its Application in Signal Processing;IEEE Transactions on Quantum Engineering;2023

2. Computing real definite representations of Helton–Vinnikov theorem;Banach Journal of Mathematical Analysis;2022-01-17

3. Unitary similarity of a weighted shift matrix to a symmetric matrix;Linear Algebra and its Applications;2021-02

4. Cyclic weighted shift matrix with reversible weights;Annals of Functional Analysis;2019-02

5. A note on multilevel Toeplitz matrices;Special Matrices;2019-01-01

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