The Marcus-de Oliveira conjecture, bilinear forms, and cones

DOI10.1016/S0024-3795(97)10004-0zbMath0938.15001WikidataQ123015503 ScholiaQ123015503MaRDI QIDQ1300833

Alexander Kovačec

Publication date: 15 June 2000

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

zbMATH Keywords

tableauxdeterminantbilinear formconesnormal matrixdeterminantal conjectureMarcus-de Oliveira conjecture

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Quadratic and bilinear forms, inner products (15A63)

Cites Work

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• Some notes on de Oliveira's determinantal conjecture
• A counterexample to a question of Merikoski and Virtanen on the compounds of unitary matrices
• Characters of multiply transitive permutation groups
• Some combinatorial properties of centrosymmetric matrices
• Convex polytopes of permutation invariant doubly stochastic matrices
• The representation theory of the symmetric groups
• The determinantal conjecture and Hadamard type inequalities
• Hadamard products and multivariate statistical analysis
• On a conjecture of G. N. de Oliveira on determinants
• Notes on the Birkhoff Algorithm for Doubly Stochastic Matrices
• Bounds for the Determinant of the Sum of Hermitian Matrices
• The Theory of Infinitely Divisible Matrices and Kernels

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