Equivalence of the wielandt inequality and the kantorovich inequality

DOI10.1080/03081080108818673zbMath0995.15011OpenAlexW2040804325MaRDI QIDQ2720369

Fuzhen Zhang

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1080/03081080108818673

zbMATH Keywords

eigenvaluesmatrix inequalitiesWielandt inequalityKantorovich inequalityLoewner orderMoore Penrose inverse

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45)

Related Items (8)

Certain integral inequalities involving tensor products, positive linear maps, and operator means ⋮ On Fischer-type determinantal inequalities for accretive-dissipative matrices ⋮ Matrix Euclidean norm Wielandt inequalities and their applications to statistics ⋮ Recent developments of the operator Kantorovich inequality ⋮ On some Fischer-type determinantal inequalities for accretive-dissipative matrices ⋮ Matrix trace Wielandt inequalities with statistical applications ⋮ A Bauer-Hausdorff matrix inequality ⋮ The weighted arithmetic mean-geometric mean inequality is equivalent to the Hölder inequality

Cites Work

• Unnamed Item
• Matrix versions of the Cauchy and Kantorovich inequalities
• A matrix version of the Wielandt inequality and its applications to statistics
• Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications
• Matrix Analysis
• Schur complements and matrix inequalities of hadamard products^∗

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