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Determinantal inequalities for positive definite matrices

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Publication:688259
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DOI10.1016/0012-365X(93)90119-EzbMath0786.15026MaRDI QIDQ688259

Charles R. Johnson, Wayne W. Barrett

Publication date: 20 December 1993

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

positive definite matrixdeterminantal inequalities


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45)


Related Items

Establishing determinantal inequalities for positive-definite matrices ⋮ Determinants of matrices of the conference type ⋮ Selfadhesivity in Gaussian conditional independence structures ⋮ On the Hadamard-Fischer inequality, the inclusion-exclusion formula, and bipartite graphs ⋮ Multiplicative principal-minor inequalities for totally nonnegative matrices ⋮ Determinants and the volumes of parallelotopes and zonotopes



Cites Work

  • Spanning-tree extensions of the Hadamard-Fischer inequalities
  • Determinantal formulae for matrix completions associated with chordal graphs
  • Matrix Analysis
  • On Some Determinantal Inequalities


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