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An arithmetic—Harmonic-mean inequality for nonnegative definite matrices

✍ Scribed by Olaf Krafft

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
102 KB
Volume
268
Category
Article
ISSN
0024-3795

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✦ Synopsis

A generalization of the arithmetic-harmonic-mean inequality is presented, naaking use of the concept of the parallel sum of matrices.

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Mixed mean inequalities for several posi
Mixed mean inequalities for several positive definite matrices
✍ Yongjian Hu; Xiuping Zhang; Zhenghong Yang 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 259 KB

On basis of the geometric mean proposed recently by T. Ando, Chi-Kwong Li and Roy Mathias, in this paper we present several kinds of mixed means for three or more positive definite matrices, and prove some related mixed mean inequalities.