Determinantal representation of weighted generalized inverses

Xiaoji Liu,Yaoming Yu,Hongxing Wang

doi:10.1016/j.amc.2008.12.030

Determinantal representation of weighted generalized inverses

Xiaoji Liu, Yaoming Yu + Show 1 more

https://doi.org/10.1016/j.amc.2008.12.030

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Journal: Applied Mathematics and Computation	Publication Date: Dec 24, 2008
Citations: 13

Affiliation: Shanghai Normal University, Guangxi University for Nationalities, Huainan Normal University, East China Normal University

#W-weighted Drazin Inverse #Classical Adjoint + Show 5 more

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Abstract

In this article, we introduce new determinantal representations of the weighted generalized inverse by using a lemma of Robinson [D.W. Robinson, The classical adjoint, Linear Algebra Appl. 411 (2005) 254–276]. And, using generalized Cramer’s rule, we get the method for computing minors of the weighted Moore–Penrose inverse and the W-weighted Drazin inverse.

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