The Minkowski's and Young type determinantal inequalities for certain accretive-dissipative matrices

Subject Areas : Linear and multilinear algebra; matrix theory

H. Qasemi ¹ , H. Larki ² , M. Dehghani-Madiseh ³

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Received: 2024-02-06 Accepted : 2024-08-08 Published : 2024-09-03

Keywords: Complex matrix‎, ‎Accretive-dissipative matrix‎, ‎Minkowski's determinantal inequality‎, ‎Young type determinantal inequality,

Abstract :

‎In this note‎, ‎we investigate the Minkowski's and Young type determinantal inequalities for accretive-dissipative matrices $S =A+iB$ satisfying $0<B<A$‎. ‎Our results improve some recent ones in the literature‎.

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