Singular linear preservers of majorization and cone type majorization

• Type: Article in International Scientific Journal
• Date: 2023-11

Authors

Cachadina, MIB (Author) Other; Susana Borges Furtado (Author) FEP; Sivakumar, KC (Author) Other

Journal

Title: Linear and Multilinear Algebra

ISSN: 0308-1087

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00X-5RY

DOI: 10.1080/03081087.2022.2117267

Abstract (EN): Since the introduction of majorization in R-n by Hardy, Littlewood and Polya, several extensions of this concept have been studied in the literature. Recently, Kosuru and Saha [Cone type majorization and its strong linear preservers. Electron J Linear Algebra. 2020;36(36):511-518.] defined the concept of cone type majorization. In this paper, we focus on the study of the behavior of the linear preservers of majorization and cone type majorization under generalized inversion, namely, Drazin inversion and Moore-Penrose inversion. A characterization of these linear preservers, given by Ando [Majorization, doubly stochastic matrices and comparisons of eigenvalues. Linear Algebra Appl. 1989;118:163-248.] for majorization, and by Kosuru and Saha [Cone type majorization and its strong linear preservers. Electron J Linear Algebra. 2020;36(36):511-518.) for cone type majorization, prove to be crucial in our proofs.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14