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A survey of Cauchy-Schwarz and Kantorovich-type matrix inequalities

✍ Scribed by Shuangzhe Liu; Heinz Neudecker


Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
603 KB
Volume
40
Category
Article
ISSN
0932-5026

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A unified version of Cauchy–Schwarz and
✍ Zi-zong Yan πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 99 KB

Let A be an n Γ— n positive definite symmetric real matrix with n eigenvalues Ξ» 1 , Ξ» 2 , . . . , Ξ» n and let x and y be two n Γ— 1 vectors with the angle ψ. This paper proves the following inequality (x T Ax)(y T Ay).