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On some inequalities for the matrix power and Karcher means

✍ Scribed by Yongdo Lim; Takeaki Yamazaki

Book ID
119317688
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
276 KB
Volume
438
Category
Article
ISSN
0024-3795

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In this note the author gives a simple proof of the following fact: Let r and s be two positive rational numbers such that r ~ s and let A and B be two n Γ— n nonnegative definite Hermitian matrices such that Ar~ B r. Then AS~ B s.