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A generalization of \(A\circ A^{-1}\geq I\)

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Publication:1104381
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DOI10.1016/S0024-3795(87)90315-6zbMath0647.15012MaRDI QIDQ1104381

Man Kam Kwong, Ravindra B. Bapat

Publication date: 1987

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


zbMATH Keywords

matrix inequalitySchur productSchur multiplication


Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45)


Related Items (4)

Inequalities for hadamard product and unitarily invariant norms of matrices ⋮ C*-algebraic Schur product theorem, P\'{o}lya-Szeg\H{o}-Rudin question and Novak's conjecture ⋮ Schur complements and matrix inequalities in the Löwner ordering ⋮ Inverses of \(2\times 2\) block matrices



Cites Work

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  • Concavity of certain maps on positive definite matrices and applications to Hadamard products
  • Über eine Ungleichung für positiv definite Matrizen
  • Partitioned and Hadamard product matrix inequalities


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