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A unified version of Cauchy–Schwarz and Wielandt inequalities

✍ Scribed by Zi-zong Yan

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
99 KB
Volume
428
Category
Article
ISSN
0024-3795

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✦ Synopsis

Let A be an n × n positive definite symmetric real matrix with n eigenvalues λ 1 , λ 2 , . . . , λ n and let x and y be two n × 1 vectors with the angle ψ. This paper proves the following inequality

(x T Ax)(y T Ay).

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