Spectral behaviour of the matrix \(\big[ f(1- p_i p_j)\big]\)

DOI10.1007/s11117-023-00990-wzbMath1518.15009MaRDI QIDQ6111063

Himanshu Agarwal, Isha Garg

Publication date: 6 July 2023

Published in: Positivity (Search for Journal in Brave)

zbMATH Keywords

positive definite matricesoperator monotone functionsinfinitely divisible matricesinertia of matricesconditionally positive definite matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Conditioning of matrices (15A12)

Cites Work

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• Hadamard powers of rank two, doubly nonnegative matrices
• Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation
• Hadamard inverses, square roots and products of almost semidefinite matrices
• Hadamard powers of some positive matrices
• Inertia of the matrix \([(p_i+p_j)^r\)]
• Positive powers of certain conditionally negative definite matrices
• Inertia of some special matrices

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