An approach to the permanental-dominance conjecture

DOI10.1016/0024-3795(94)90117-1zbMath0835.15004OpenAlexW2024823407WikidataQ123348056 ScholiaQ123348056MaRDI QIDQ1330009

George W. Soules

Publication date: 15 August 1994

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)90117-1

zbMATH Keywords

permanentslargest eigenvaluematrix functionSchur power matrixpermanental dominance conjecturepositive semidefinite Hermitian matricesmaximum eigenvalue conjecture

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (4)

An update on a few permanent conjectures ⋮ The permanent-on-top conjecture is false ⋮ An update on Minc's survey of open problems involving permanents ⋮ Extreme rays for cones of Hermitian matrix functions that are non-negative on the positive semi-definite matrices

Cites Work

• An extremal property of the permanent and the determinant
• Partitions, Irreducible Characters, and Inequalities for Generalized Matrix Functions
• Constructing symmetric nonnegative matrices
• Permanents and Immanants of Hermitian Matrices
• Immant dominance orderings for hook partitions
• Inequalities relating groups of diagonal products in a gram matrix
• Immanants
• Immanant Inequalities, Induced Characters, and Rank Two Partitions
• Permanental dominance and the soules conjecture for certain right ideals in the group algebra
• Theory of permanents 1978–1981
• Some inequalities concerning immanants
• The Hadamard Theorem for Permanents
• Unnamed Item
• Unnamed Item

This page was built for publication: An approach to the permanental-dominance conjecture