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ABSTRACT
Matrices with the property that the real part is positive definite, have been studied for the past five decades or more. Many results in the form of inequalities have been obtained for matrices possessing this property. In this article, a new class of matrices, viz., matrices whose real part is positive semidefinite, is considered, wherein extensions of the results in the literature are obtained.
Acknowledgements
The authors thank the anonymous referee for his/her suggestions and comments.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
The first author thanks National Board for Higher Mathematics (NBHM), Department of Atomic Energy, India, for the financial support in the form of postdoctoral fellowship (0204/11/2018/ R&D-II/6437).