Mixed mean inequalities for several positive definite matrices (Q1765919)
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scientific article; zbMATH DE number 2137799
| Language | Label | Description | Also known as |
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| English | Mixed mean inequalities for several positive definite matrices |
scientific article; zbMATH DE number 2137799 |
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Mixed mean inequalities for several positive definite matrices (English)
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23 February 2005
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This paper presents several kinds of mixed means for three or more positive definite matrices, which involve the geometric mean [cf. \textit{T. Ando, C.-K. Li} and \textit{R. Mathias}, Linear Algebra Appl. 385, 305--334 (2004; Zbl 1063.47013)] and one of the arithmetic and harmonic means. Further results deal with mixed mean inequalities, matrix version of a conjecture of \textit{F. Holland} [On a mixed arithmetic-mean, geometric-mean inequality, Math. Competitions 5, 60--64 (1992)], and convergence of mixed mean sequences.
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positive definite matrix
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geometric mean
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mixed mean
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mixed mean inequality
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arithmetic mean
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