Hadamard powers of some positive matrices

DOI10.1016/j.laa.2016.06.030zbMath1398.15038arXiv1803.06803OpenAlexW2963078539MaRDI QIDQ1789393

Tanvi Jain

Publication date: 10 October 2018

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

Full work available at URL: https://arxiv.org/abs/1803.06803

zbMATH Keywords

positive semidefinite matrixHadamard power

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (11)

Bidiagonal decompositions and total positivity of some special matrices ⋮ Moment-sequence transforms ⋮ Rank of a Hadamard product ⋮ Totally positive kernels, Pólya frequency functions, and their transforms ⋮ Hadamard powers and kernel perceptrons ⋮ Spectral behaviour of the matrix \(\big[ f(1- p_i p_j)\big\)] ⋮ On Hadamard powers of random Wishart matrices ⋮ Positivity of Hadamard powers of a few band matrices ⋮ A panorama of positivity. II: Fixed dimension ⋮ Hadamard powers of rank two, doubly nonnegative matrices ⋮ On Hadamard powers of positive semi-definite matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Inertia of the matrix \([(p_i+p_j)^r\)]
• Positivity preserving Hadamard matrix functions
• Positive definite functions on spheres
• Preserving positivity for matrices with sparsity constraints
• Inertia of Loewner matrices
• The Theory of Infinitely Divisible Matrices and Kernels

This page was built for publication: Hadamard powers of some positive matrices