Rank inequalities for positive semidefinite matrices

DOI10.1016/0024-3795(95)00170-0zbMath0862.15013OpenAlexW2051281515MaRDI QIDQ2564924

Wayne W. Barrett, Michael Lundquist

Publication date: 25 May 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00170-0

zbMATH Keywords

positive definite matrixchordal graphsFischer's inequalitypositive semidefinite matrixrank inequalitiesdeterminantal inequalitiesKoteljanskii's inequality

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (4)

Algebraic methods toward higher-order probability inequalities. II. ⋮ Granger causality from quantized measurements ⋮ Null spaces of correlation matrices ⋮ The real positive definite completion problem for a 4-cycle

Cites Work

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