Matrix Wielandt inequality via the matrix geometric mean

DOI10.1080/03081087.2017.1363154zbMath1393.15026OpenAlexW2748913388MaRDI QIDQ4567765

Yuki Seo, Masayuki Fujimoto

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1363154

zbMATH Keywords

Wielandt inequalityCauchy-Schwarz inequalitymatrix geometric mean

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items

Inequalities on 2 × 2 block positive semidefinite matrices ⋮ Matrix Richard inequality via the geometric mean ⋮ Cauchy–Schwarz Inequality and Riccati Equation for Positive Semidefinite Matrices ⋮ Matrix Hölder-McCarthy inequality via matrix geometric means ⋮ Matrix Ostrowski inequality via the matrix geometric mean

Cites Work

• Matrix versions of the Cauchy and Kantorovich inequalities
• Operator-valued inner product and operator inequalities
• A matrix version of the Wielandt inequality and its applications to statistics
• Means of positive linear operators
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