Geodesic
Reverse order law for generalized inverses with indefinite Hermitian weights
Filomat, Tome 37 (2023) no. 3, p. 699

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, necessary and sufficient conditions are given for the existence of Moore-Penrose inverse of a product of two matrices in an indefinite inner product space (IIPS) in which reverse order law holds good. Rank equivalence formulas with respect to IIPS are provided and an open problem is given at the end.
DOI : 10.2298/FIL2303699K
Classification : 15A09, 15A24, 46C20
Keywords: Moore-Penrose inverse, Reverse order law, Indefinite inner product space, Weighted generalized inverse 
K Kamaraj; P Sam Johnson; Athira Satheesh. Reverse order law for generalized inverses with indefinite Hermitian weights. Filomat, Tome 37 (2023) no. 3, p. 699 . doi: 10.2298/FIL2303699K
@article{10_2298_FIL2303699K,
     author = {K Kamaraj and P Sam Johnson and Athira Satheesh},
     title = {Reverse order law for generalized inverses with indefinite {Hermitian} weights},
     journal = {Filomat},
     pages = {699 },
     year = {2023},
     volume = {37},
     number = {3},
     doi = {10.2298/FIL2303699K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2303699K/}
}
TY  - JOUR
AU  - K Kamaraj
AU  - P Sam Johnson
AU  - Athira Satheesh
TI  - Reverse order law for generalized inverses with indefinite Hermitian weights
JO  - Filomat
PY  - 2023
SP  - 699 
VL  - 37
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2303699K/
DO  - 10.2298/FIL2303699K
LA  - en
ID  - 10_2298_FIL2303699K
ER  - 
%0 Journal Article
%A K Kamaraj
%A P Sam Johnson
%A Athira Satheesh
%T Reverse order law for generalized inverses with indefinite Hermitian weights
%J Filomat
%D 2023
%P 699 
%V 37
%N 3
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2303699K/
%R 10.2298/FIL2303699K
%G en
%F 10_2298_FIL2303699K

Cité par Sources :