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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: 12-14
Note A Matrix Trace Inequality
Feng Zhang*, Lin Deng, Jinli Xu
Department of mathematics, Northeast Forestry University, Harbin, China, 150040.
Citation : Feng Zhang, Lin Deng, Jinli Xu, Note A Matrix Trace Inequality International Journal of Scientific and Innovative Mathematical Research 2019 , 7(7) : 12-14.
Abstract
In this note, we generalized the matrix trace inequality which is given by Yang, and the following result |tr(A1A2A3......Ak)m| ≤ [ tr(A1km tr(A2km tr(Akkm ]1/k is established,where m, k, are positive integers, A1,..., Ak are positive semidefinite matrix of the same order
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