Article ID Journal Published Year Pages File Type
5773051 Linear Algebra and its Applications 2017 8 Pages PDF
Abstract
If a 2×2 block matrix [ABB⁎C] is positive semidefinite, where each block is square, then the following trace inequality holds|trAC−trB⁎B|≤trAtrC−|trB|2. This improves a result of Besenyei [2]. Moreover, we show that|trBm|≤trAm/2Cm/2,m=2,3,….
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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Trace inequalities for positive semidefinite block matrices
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