The invertibility of the difference and the sum of commuting generalized and hypergeneralized projectors
Marina Tošić, Dragana S. Cvetković‐Ilić · Linear and Multilinear Algebra · 2012
In this article, we study necessary and sufficient conditions for the invertibility of a linear combination c 1 A k + c 2 B l , in the case when A and B are both commuting generalized or hypergeneralized projectors. We present some results relating different matrix partial orderings and the invertibility of a linear combination c 1 A k + c 2 B l when A and B are hypergeneralized projectors.