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Yu Wang, Kexin Feng, Jingjing Ding,
Some Generalized Inequalities for Certain Powers of Positive Definite Matrices.
Int. J. Math. Comput. Sci., 20, no. 4, (2025), 943-945

DOI:

https://doi.org/10.69793/ijmcs/04.2025/yu

Keywords and phrases:

Inequality, positive definite matrix, singular value.

Abstract:

In this paper, we introduce a new scalar inequality which generalize x^{y}+y^{x} > 1+xy for x, y> 1. Moreover, we generalize the extended inequality into matrix version concerning singular values.