On the Hadamard product of inverse \(M\)-matrices

DOI10.1016/S0024-3795(99)00203-7zbMath0948.15004MaRDI QIDQ1968752

Xiuping Zhang, Fuzhen Zhang, Bo Ying Wang

Publication date: 21 March 2000

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

zbMATH Keywords

Hadamard productSchur complementsinverse \(M\)-matricesFan product

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (7)

The Hadamard Product of Circulant Matrices on Three Symbols that are Inverses of M-Matrices ⋮ Positive, path product, and inverse \(M\)-matrices ⋮ Proof of a conjecture concerning the Hadamard powers of inverse \(M\)-matrices ⋮ A property concerning the Hadamard powers of inverse \(M\)-matrices. ⋮ A Hadamard product involving inverse-positive matrices ⋮ Inverse \(M\)-matrices. II ⋮ Ky Fan inequalities

Cites Work

• A conjecture concerning the Hadamard product of inverses of \(M\)-matrices
• On the inverse M-matrix problem for (0,1)-matrices
• Inverse M-matrices
• The inverse M-matrix problem
• A Schur complement inequality for certain P-matrices
• Inverse \(M\)-matrix inequalities and generalized ultrametric matrices
• Generalized ultrametric matrices -- a class of inverse \(M\)-matrices
• Inequalities for M-matrices
• On the Inverse M-Matrix Problem for Real Symmetric Positive-Definite Toeplitz Matrices
• A Hadamard product involving N-matrices
• Inverse of Strictly Ultrametric Matrices are of Stieltjes Type
• Schur complements and matrix inequalities of hadamard products^∗
• Nonnegative Matrices whose Inverses are M-Matrices
• Inequalities: theory of majorization and its applications
• Matrix theory. Basic results and techniques
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