Min matrices and mean matrices
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Publication:642130
DOI10.1007/s00283-010-9194-zzbMath1247.15029OpenAlexW2036332346MaRDI QIDQ642130
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
eigenvaluesnonnegative matrixpositive semidefinite matricesHilbert matrixCauchy matrixCesàro matrixfractional Hadamard powerinfinite divisible matricesmax matricesmean matricesmin matrices
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)
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Uses Software
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
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- 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
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