Positivity around Cauchy matrices

DOI10.1007/s11117-020-00774-6zbMath1468.15020OpenAlexW3038058160MaRDI QIDQ830186

Hiroki Tamura, Takashi Sano

Publication date: 7 May 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-020-00774-6

zbMATH Keywords

Cauchy matrixKwong matrixLoewner matrixpositivity gap

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (2)

Kraus matrices and matrix convex functions ⋮ Matrix perspectives and matrix convexity

Cites Work

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• Kwong matrices and operator monotone functions on (0,1)
• Loewner matrices of matrix convex and monotone functions
• Positivity and conditional positivity of Loewner matrices
• Loewner matrices and operator convexity
• A characterisation of anti-Löwner functions
• Conditional negativity of anti-Loewner matrices
• GAPS BETWEEN CLASSES OF MATRIX MONOTONE FUNCTIONS
• Loewner's Theorem on Monotone Matrix Functions
• Conditional negativity of Kwong matrices II

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