Some results on the Bergstrom and Minkowski inequalities

DOI10.1016/0024-3795(94)00047-6zbMath0838.15009OpenAlexW2033741792MaRDI QIDQ1906796

Miroslav Fiedler, Thomas L. Markham

Publication date: 6 February 1996

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00047-6

zbMATH Keywords

Schur complement\(M\)-matricespositive semidefinite matricesdeterminant inequalityMinkowski inequalityBergstrom inequality

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (8)

Reverse form of the Minkowski inequalities with applications ⋮ A matrix inequality on Schur complements ⋮ \(L_p\) Brunn-Minkowski type inequalities for Blaschke-Minkowski homomorphisms ⋮ Schur complements and matrix inequalities of hadamard products^∗ ⋮ Orlicz-Brunn-Minkowski inequalities for Blaschke-Minkowski homomorphisms ⋮ A generalization of the matrix form of the Brunn-Minkowski inequality ⋮ AN ANDERSON-TAYLOR TYPE INEQUALITY VIA THE SCHUR COMPLEMENT ⋮ Some Löwner partial orders of Schur complements and Kronecker products of matrices

Cites Work

• Unnamed Item
• Two properties of M-matrices
• An Application of Theorems of Schur and Albert
• Weakly sign-symmetric matrices and some determinantal inequalities
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses

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