Representations of the weighted WG inverse and a rank equation's solution. Issue 2 (22nd January 2023)

• Record Type: Journal Article
• Authors: Ferreyra, D. E.; Orquera, V.; Thome, N.
• Is Part Of: Linear & multilinear algebra. Volume 71:Issue 2(2023)
• Page Start: 226
• Page End: 241
• Publication Date: 2023-01-22
• Subjects: Generalized inverse -- W-weighted WG inverse -- weighted core EP inverse -- W-weighted Drazin inverse -- rank equation; 15A09; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2021.2023449
• Languages: English
• ISSNs: 0308-1087

Abstract

Abstract : In this paper, we present several representations of the W -weighted WG inverse. These representations are expressed in terms of matrix powers as well as in terms of matrix products involving only the Moore–Penrose inverse. In addition, a new characterization of the W -weighted WG inverse is presented by using a rank equation.