On Hadamard powers of positive semi-definite matrices

DOI10.1090/proc/16187OpenAlexW4316036508MaRDI QIDQ5878555

Jnaneshwar Baslingker, Biltu Dan

Publication date: 21 February 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.04443

zbMATH Keywords

positive semi-definiteHadamard power

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Perturbation theory of linear operators (47A55) Miscellaneous inequalities involving matrices (15A45)

Cites Work

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• Complete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity
• Positive definite sequences and absolutely monotonic functions
• Monotonicity for entrywise functions of matrices
• On fractional Hadamard powers of positive definite matrices
• Hadamard powers of some positive matrices
• Positivity preserving Hadamard matrix functions
• Positive definite functions on spheres
• Matrix Analysis and Entrywise Positivity Preservers

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