Let A 1 , . . . , A s be nonnegative definite matrices. We prove that there are constants c i , 1 i s, depending on A 1
The equivalent form of a matrix inequality and its application
โ Scribed by Yang Zhongpeng; Feng Xiaoxia
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 194 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1598-5865
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๐ SIMILAR VOLUMES
Suppose that A is an n ร n positive deยฎnite Hermitian matrix. Let X and Y be n ร p and n ร q matrices, respectively, such that X ร 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 ร stands for a generalized
This paper investigates the properties of eigenvalues and eigenvectors of a matrix A= 0 I c-II? c-l I 1 of order 2 N, where 1 is a symmetric tridiagonal real matrix of order N, R and C arr positive diagonal matrices of order N, and I is the identity matrix. The obtained results are then used to solv