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On permanental compounds

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Publication:935381
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DOI10.1016/j.laa.2007.05.019zbMath1149.15005OpenAlexW2039430163MaRDI QIDQ935381

Thomas H. Pate

Publication date: 6 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.019


zbMATH Keywords

inequalitiespermanentsHermitian matrixpositive semidefinite matrixpermanental compounds


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Quadratic and bilinear forms, inner products (15A63)


Related Items (1)

A simple counterexample for the permanent-on-top conjecture



Cites Work

  • Unnamed Item
  • An extremal property of the permanent and the determinant
  • Group algebras, monotonicity, and the lieb permanent inequality
  • Matrix Analysis
  • The Hadamard Theorem for Permanents


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