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Mixed mean inequalities for several positive definite matrices

✍ Scribed by Yongjian Hu; Xiuping Zhang; Zhenghong Yang

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
259 KB
Volume
395
Category
Article
ISSN
0024-3795

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Determinantal inequalities for positive
Determinantal inequalities for positive definite matrices
✍ Charles R. Johnson; Wayne W. Barrett πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 609 KB

We consider the problem of identifying all determinantal inequalities valid on all positive definite matrices. This is fundamentally a combinatorial problem about relations between collections of index sets. We describe some general structure of this problem and give sufficient and necessary conditi