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A geometric mean of parameterized arithmetic and harmonic means of convex functions

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Publication:1938303
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DOI10.1155/2012/836804zbMath1256.90035OpenAlexW1971680150WikidataQ58696900 ScholiaQ58696900MaRDI QIDQ1938303

Sangho Kum, Yongdo Lim

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/836804



Mathematics Subject Classification ID

Convex programming (90C25) Convexity of real functions in one variable, generalizations (26A51)




Cites Work

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  • The matrix geometric mean of parameterized, weighted arithmetic and harmonic means
  • Convexity of the proximal average
  • Riemannian geometry and matrix geometric means
  • On the exponential metric increasing property.
  • Solving symmetric matrix word equations via symmetric space machinery
  • On the averaging of symmetric positive-definite tensors
  • Eigenvalues of Words in Two Positive Definite Letters
  • Self-Scaled Barriers for Irreducible Symmetric Cones
  • The Proximal Average: Basic Theory
  • Self-Scaled Barriers and Interior-Point Methods for Convex Programming
  • Variational Analysis
  • Symmetric word equations in two positive definite letters
  • A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
  • Convex Analysis
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