Symmetric matrix means

DOI10.1016/j.laa.2022.09.023OpenAlexW4298008914MaRDI QIDQ2093505

Mitsuru Uchyama

Publication date: 8 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2022.09.023

zbMATH Keywords

operator monotone functiongeometric meanoperator meanmatrix meansymmetric mean

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (1)

Geometric Mean and Matrix Quadratic Equations

Cites Work

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• Some results on matrix means
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• The Karcher mean of linearly independent triples
• Operator monotone functions, positive definite kernels and majorization
• A Multivariable Extension of Two-Variable Matrix Means
• An effective matrix geometric mean satisfying the Ando–Li–Mathias properties
• Operator functions and the operator harmonic mean
• Ando–Hiai type inequalities for multivariate operator means
• Means of Positive Numbers and Matrices

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