Compact formula for skew-symmetric system of matrix equations

نویسندگان

چکیده

Abstract In this paper, we consider skew-Hermitian solution of coupled generalized Sylvester matrix equations encompassing $$*$$ ∗ -hermicity over complex field. The compact formula the general system is presented in terms inverses when some necessary and sufficient conditions are fulfilled. An algorithm a numerical example provided to validate our findings. A carried out using determinantal representations Moore–Penrose inverse.

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ژورنال

عنوان ژورنال: Arabian Journal of Mathematics

سال: 2023

ISSN: ['2193-5343', '2193-5351']

DOI: https://doi.org/10.1007/s40065-023-00439-8