Inertia of some special matrices

DOI10.1080/03081087.2017.1310176zbMath1427.15013OpenAlexW2605088276MaRDI QIDQ5206302

Jaspal Singh Aujla, Isha Garg

Publication date: 18 December 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1310176

zbMATH Keywords

positive definite matricesinertiaoperator monotone functionsoperator convex functionsinfinitely divisible matricesconditionally positive definite matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Positive definite functions in one variable harmonic analysis (42A82)

Related Items (1)

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

Cites Work

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• Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation
• Inertia of the matrix \([(p_i+p_j)^r\)]
• Matrix Analysis
• Positive powers of certain conditionally negative definite matrices
• Infinitely Divisible Matrices
• Introduction to matrix analysis and applications

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