Min matrices and mean matrices

DOI10.1007/s00283-010-9194-zzbMath1247.15029OpenAlexW2036332346MaRDI QIDQ642130

Rajendra Bhatia

Publication date: 25 October 2011

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00283-010-9194-z

zbMATH Keywords

eigenvaluesnonnegative matrixpositive semidefinite matricesHilbert matrixCauchy matrixCesàro matrixfractional Hadamard powerinfinite divisible matricesmax matricesmean matricesmin matrices

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Matrices of integers (15B36)

Related Items

Max and Min matrices with hyper-Fibonacci numbers ⋮ Geometric mean block matrices ⋮ A new generalization of the Frank matrix and its some properties ⋮ Studying the various properties of MIN and MAX matrices -- elementary vs. more advanced methods ⋮ Positivity properties of the matrix \({\left[(i+j)^{i+j}\right}\)] ⋮ On the positive definiteness and eigenvalues of meet and join matrices ⋮ On the eigenvalues of combined meet and join matrices ⋮ Positivity properties of some special matrices ⋮ On \(r\)-min and \(r\)-max matrices

Uses Software

• mctoolbox

Cites Work

• Mean matrices and infinite divisibility
• Arithmetic-geometric mean and related inequalities for operators
• Comparison of various means for operators
• Means of Hilbert space operators
• Norm bounds for Hadamard products and an arithmetic-geometric mean inequality for unitarily invariant norms
• On infinite divisibility of positive definite functions arising from operator means
• Tricks or Treats with the Hilbert Matrix
• Infinite Divisibility of GCD Matrices
• Matrix Analysis
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• Positive Definite Functions and Operator Inequalities
• Means for matrices and comparison of their norms
• Accuracy and Stability of Numerical Algorithms
• Infinitely Divisible Matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item