A Schur complement inequality for certain P-matrices

DOI10.1016/S0024-3795(98)10023-XzbMath0936.15015WikidataQ128039992 ScholiaQ128039992MaRDI QIDQ1808947

Ronald L. Smith, Thomas L. Markham

Publication date: 25 November 1999

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

zbMATH Keywords

positive definite matricesSchur complementHadamard producttotally nonnegative matrices\(Z\)-matricesFan productinequalities involving determinants and matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (3)

The further generalization on the inequalities for Hadamard products of any number of invertible Hermitian matrices ⋮ On the Hadamard product of inverse \(M\)-matrices ⋮ New lower bound of the determinant for Hadamard product on some totally nonnegative matrices

Cites Work

• A classification of matrices of class Z
• A semigroup of totally nonnegative matrices
• Matrix Analysis
• On fan products ofZ-matrices
• Schur complements and matrix inequalities of hadamard products^∗
• An Identity for the Schur Complement of a Matrix
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