Abstract:We present the Drazin-inverse solution of the matrix equation AXB = G as a
least-squares solution of a specified minimization problem. Some important
properties of the Moore-Penrose inverse are extended on the Drazin inverse
by exploring the minimal norm properties of the Drazin-inverse solution of
the matrix equation AXB = G. The least squares properties of the
Drazin-inverse solution lead to new representations of the Drazin inverse of
a given matrix, which are justified by illustrative exa… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.