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A new generalized and sharp version of Jordan’s inequality and its applications to the improvement of the Yang Le inequality, II

✍ Scribed by Shanhe Wu; Lokenath Debnath


Book ID
108052279
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
159 KB
Volume
20
Category
Article
ISSN
0893-9659

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A matrix version of the Wielandt inequal
✍ Song-Gui Wang; Wai-Cheung Ip 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 110 KB

Suppose that A is an n  n positive de®nite Hermitian matrix. Let X and Y be n  p and n  q matrices, respectively, such that X à Y 0. The present article proves the following inequality, where k 1 and k n are respectively the largest and smallest eigenvalues of A, and M À stands for a generalized