TITLE
ON THE GENERALIZED INVERSES OF LINEAR COMBINATIONS OF GENERALIZED AND HYPERGENERALIZED PROJECTORS
AUTHOR(S)
Marina Tošić
ABSTRACT
The aim of this paper is to give representations of generalized inverses of a linear combination of generalized and hypergeneralized projectors. We discuss structural properties of these projectors that make such representations possible and analyze explicit conditions for the existence of generalized inverses. Furthermore, we provide a brief overview of known results concerning generalized inverses in the context of projectors and emphasize the importance of such representations in matrix theory. Special attention is devoted to the structural properties of generalized and hypergeneralized projectors, which allow the derivation of explicit formulas for their linear combinations. Our analysis highlights connections with linear algebra, while the results may also find applications in numerical methods and related areas.
DOI
How to cite this article:
Marina Tošić, ON THE GENERALIZED INVERSES OF LINEAR COMBINATIONS OF GENERALIZED AND HYPERGENERALIZED PROJECTORS, UNITECH – SELECTED PAPERS - 2025