1 Department of Mathematics, Faculty of Applied Science, University of Sri Jayewardenepura, Gangodawilla, Nugegoda 10250, Sri Lanka.
2 Department of Mathematics and Philosophy of Engineering, Faculty of Engineering Technology, The Open University of Sri Lanka, Nawala, Nugegoda, 10250, Sri Lanka.
World Journal of Advanced Engineering Technology and Sciences, 2026, 20(01), 094–097
Article DOI: 10.30574/wjaets.2026.20.1.0350
Received on 30 May 2026; revised on 06 July 2026; accepted on 08 July 2026
The paper provides a concise exposition of the mathematical structure related to the Golden Thomson inequality, focusing specifically on matrix exponentials, matrix logarithms, trace functions, and Hermitian matrices within matrix analysis. In this study, we establish the Golden-Thomson inequality for matrix powers of a positive definite Hermitian matrix.
Matrix exponentials; Matrix logarithms; Trace function; Hermitian matrices; Golden-Thomson inequality
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K. K. W. A. S. Kumara and G. Nandasena. Golden-Thompson inequality for matrix powers of matrix. World Journal of Advanced Engineering Technology and Sciences, 2026, 20(01), 094–097. Article DOI: https://doi.org/10.30574/wjaets.2026.20.1.0350