𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The arithmetic-geometric-harmonic-mean and related matrix inequalities

✍ Scribed by M. Alić; B. Mond; J. Pečarić; V. Volenec


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
188 KB
Volume
264
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Arithmetic–Geometric Mean and Related In
✍ Hideki Kosaki 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 317 KB

In recent years certain arithmetic geometric mean and related inequalities for operators and unitarily invariant norms have been obtained by many authors based on majorization technique and so on. We first point out that they are direct consequences of integral expressions of relevant operators. Fur

The matrix geometric mean of parameteriz
✍ Sejong Kim; Jimmie Lawson; Yongdo Lim 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 265 KB

We define a new family of matrix means {L μ (ω; A)} μ∈R where ω and A vary over all positive probability vectors in R m and m-tuples of positive definite matrices resp. Each of these means interpolates between the weighted harmonic mean (μ = -∞) and the arithmetic mean of the same weight (μ = ∞) wit