A monotone geometric mean for a class of Toeplitz matrices

DOI10.1016/j.laa.2016.08.032zbMath1354.15020OpenAlexW2511229356MaRDI QIDQ331147

Elham Nobari

Publication date: 26 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.08.032

zbMATH Keywords

monotonicityToeplitz matrixLaurent operatormatrix geometric mean

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (3)

Approximate diagonalization of some Toeplitz operators and matrices ⋮ Geometric means of quasi-Toeplitz matrices ⋮ A geometric mean for Toeplitz and Toeplitz-block block-Toeplitz matrices

Uses Software

• Matrix Means Toolbox

Cites Work

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• Riemannian geometry and matrix geometric means
• Geometric means
• Computing the Karcher mean of symmetric positive definite matrices
• A survey and comparison of contemporary algorithms for computing the matrix geometric mean
• Geometric means of structured matrices
• On the averaging of symmetric positive-definite tensors
• A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices

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