A geometric mean for Toeplitz and Toeplitz-block block-Toeplitz matrices

DOI10.1016/j.laa.2018.03.014OpenAlexW2794073897WikidataQ130147844 ScholiaQ130147844MaRDI QIDQ1748083

Bijan Ahmadi Kakavandi, Elham Nobari

Publication date: 2 May 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.03.014

zbMATH Keywords

monotonicityToeplitz matrixgeometric meansymbol functionToeplitz-block block-Toeplitz matrix (TBBT)

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (2)

Approximate diagonalization of some Toeplitz operators and matrices ⋮ Geometric means of quasi-Toeplitz matrices

Uses Software

• Matrix Means Toolbox

Cites Work

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• Matrix Information Geometry
• An effective matrix geometric mean satisfying the Ando–Li–Mathias properties
• A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices

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