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

محورهای موضوعی : Linear and multilinear algebra; matrix theory

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

1 - Department of Mathematics‎, ‎Faculty of Mathematical Sciences and Computer‎, ‎Shahid Chamran University of Ahvaz‎, ‎P.O‎. ‎Box‎. ‎83151-61357‎, ‎Ahvaz‎, ‎Iran
2 - Department of Mathematics‎, ‎Faculty of Mathematical Sciences and Computer‎, ‎Shahid Chamran University of Ahvaz‎, ‎P.O‎. ‎Box‎. ‎83151-61357‎, ‎Ahvaz‎, ‎Iran
3 - Department of Mathematics‎, ‎Faculty of Mathematical Sciences and Computer‎, ‎Shahid Chamran University of Ahvaz‎, ‎P.O‎. ‎Box‎. ‎83151-61357‎, ‎Ahvaz‎, ‎Iran

تاریخ دریافت : 1402/11/17 تاریخ پذیرش : 1403/05/18 تاریخ انتشار : 1403/06/13

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

چکیده مقاله :

‎In this note‎, ‎we investigate the Minkowski's and Young type determinantal inequalities for accretive-dissipative matrices $S =A+iB$ satisfying $0

چکیده انگلیسی:

‎In this note‎, ‎we investigate the Minkowski's and Young type determinantal inequalities for accretive-dissipative matrices $S =A+iB$ satisfying $0

منابع و مأخذ:

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[4] M. Lin, Fischer type determinantal inequalities for accretive-dissipative matrices, Linear Algebra Appl. 438 (2013), 2808-2812.

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[6] J. Xue, X. Hu, Singular value inequalities for sector matrices, Filomat. 33 (16) (2019), 5231-5236.