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DOI Prefix 10.20431 |
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International Journal of Scientific and Innovative Mathematical Research
Volume 7, Issue 7, 2019, Page No: 1-3
An Inequalities for the Trace of the Block Hadamard Product
Hui Quan*
Department of mathematics, Xiangtan University, Xiangtan 411105, China.
Citation : Hui Quan, An Inequalities for the Trace of the Block Hadamard Product International Journal of Scientific and Innovative Mathematical Research 2019 , 7(7) : 1-3.
Abstract
Let λ1(A) ≥ .. ≥ λn(A) denote the eigenvalues of a Hermitian n by n matrix A , our main results are logλ(C* C) Pw log λ(A) o λ(B) and λ(C* C) Pw λ(A) o λ(B) . Here A is a positive matrix, B and M are positive semi- definite Hermitian matrices
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