Research Article

One-sided W-core inverses of rectangular matrices

Published in: Quaestiones Mathematicae
Volume 48 , issue 11, pages: 1591–1607
DOI: 10.2989/16073606.2025.2536067
Author(s): Bing DongSchool of Mathematics, Hefei University of Technology, China, Daihan XuSchool of Mathematics, Hefei University of Technology, China, Huihui ZhuSchool of Mathematics, Hefei University of Technology, China,
Keywords: 15A09, W -core inverses, left W -core inverses, right W -core inverses, column space, null space,
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Abstract

The main purpose of this article is to introduce the w-core inverse (and its one-sided versions) of rectangular matrices. The relationship between the right W-core inverse and the left W-core inverse is studied. Several basic properties and characterizations on W-core inverses are presented.
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