Trace inequalities for products of matrices
Shigeru Furuichi, Ken Kuriyama, Kenjiro Yanagi
TL;DR
This paper investigates trace inequalities involving products and powers of matrices using elementary calculation methods, contributing to the mathematical understanding of matrix trace properties.
Contribution
It introduces new trace inequalities for matrix products and powers, expanding the theoretical framework in matrix analysis.
Findings
Derived novel trace inequalities for matrix products
Established bounds for traces of matrix powers
Simplified proofs using elementary calculations
Abstract
In this short paper, we study some trace inequalities of the products of the matrices and the power of matrices by the use of elementary calculations.
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Taxonomy
TopicsMathematical Inequalities and Applications · Matrix Theory and Algorithms · Mathematics and Applications