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Erschienen in: Journal of Applied Mathematics and Computing 1/2022

01.04.2021 | Original Research

Outer-star and star-outer matrices

verfasst von: Dijana Mosić

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1/2022

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Abstract

To solve certain type of matrix equations and extend the notions of the Drazin-star and star-Drazin matrices, we define two new classes of rectangular matrices called the outer-star and star-outer matrices. We characterize these new matrices by algebraic and geometrical point of view and give properties of projectors determined by them. Various representations of outer-star and star-outer matrices as integral representations and limit representations are derived. We establish relations between outer-star and star-outer matrices with appropriate nonsingular matrices. Possible applications of outer-star and star-outer matrices in solving some systems of linear equations are presented.

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Metadaten
Titel
Outer-star and star-outer matrices
verfasst von
Dijana Mosić
Publikationsdatum
01.04.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1/2022
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-021-01544-7

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