An approximate approach to the structured distance to normality of Toeplitz operators

DOI10.1090/qam/1589OpenAlexW3151921370MaRDI QIDQ4997184

Bijan Ahmadi Kakavandi, Elahe Bolourchian

Publication date: 28 June 2021

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1589

zbMATH Keywords

Toeplitz operatorPCA methodstructured distance to normality

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Statistical aspects of big data and data science (62R07)

Uses Software

• Eigtool

Cites Work

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• The structured distance to normality of an irreducible real tridiagonal matrix
• The structured distance to normality of banded Toeplitz matrices
• Structured distance to normality of tridiagonal matrices
• Computing the closest real normal matrix and normal completion
• The structured distance to normality of Toeplitz matrices with application to preconditioning
• Shorter Notes: The Roots of a Polynomial Vary Continuously as a Function of the Coefficients
• Normal Toeplitz Matrices
• Nearness results for real tridiagonal 2‐Toeplitz matrices
• Data Mining and Machine Learning

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