On some matrix trace inequalities

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Author
Renaud, P. F.
Date
1998Permanent Link
http://hdl.handle.net/10092/11286Degree Grantor
University of CanterburyDegree Name
Research reportA number of authors have recently considered matrix trace inequalities of Cauchy-Schwartz type. We extend some of these results and look at some other classical inequalities which can be reformulated as more general trace inequalities. The main step in generalizing these, is to overcome non commutativity of matrix multiplication. In many cases this is not too difficult. The result is a more general class of inequalities, often easier to fomulate and no more difficult to derive.
Subjects
Field of Research::01 - Mathematical Sciences::0101 - Pure Mathematics::010101 - Algebra and Number TheoryCollections
- Engineering: Reports [695]