Successive iterations and logarithmic means

Ádám Besenyei, Dénes Petz

Research output: Contribution to journalArticle

2 Citations (Scopus)


The successive iteration (started by Lagrange and Gauss) produces a new mean from two given ones. Several examples of matrix means are given that require the proof of the matrix monotonicity of the corresponding representing function. The paper contains extensions of the logarithmic mean and it is obtained that the Stolarsky mean can be used also for matrices.

Original languageEnglish
Pages (from-to)205-218
Number of pages14
JournalOperators and Matrices
Issue number1
Publication statusPublished - Mar 1 2013



  • Gauss's arithmetic-geometric mean
  • Logarithmic mean
  • Matrix mean
  • Matrix monotone function
  • Stolarsky mean

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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