Generalized Inverse of Matrices and Its Applications

Mayne, Alan J.; Rao, C. R.; Mitra, S. K.

doi:10.2307/3007981

Search citation statements

Order By: Relevance

Paper Sections

Select...

Preliminaries1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2023

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The classes { a − }, { a = }, and {

} denote the class of all g-inverses, outer inverses and reflexive g-inverses of a , respectively. For basic notions of generalized inverses in the context of matrices we refer the readers to 14 , 15 , and 16 .…”

Section: Preliminariesmentioning

confidence: 99%

Reverse order law for outer inverses and Moore-Penrose inverse in the context of star order

Kelathaya

Karantha

2022

F1000Res

View full text Add to dashboard Cite

The reverse order law for outer inverses and the Moore-Penrose inverse is discussed in the context of associative rings. A class of pairs of outer inverses that satisfy reverse order law is determined. The notions of left-star and right-star orders have been extended to the case of arbitrary associative rings with involution and many of their interesting properties are explored. The distinct behavior of projectors in association with the star, right-star, and left-star partial orders led to several equivalent conditions for the reverse order law for the Moore-Penrose inverse.

show abstract

“…The classes { a − }, { a = }, and {

Section: Preliminariesmentioning

confidence: 99%