On linear combinations of generalized involutive matrices

Autores UPV
Revista Linear and Multilinear Algebra


Let X ¿ denotes the Moore--Penrose pseudoinverse of a matrix X. We study a number of situations when (aA + bB) ¿ = aA + bB provided a, b ¿ C\{0} and A, B are n ¿ n complex matrices such that A ¿ = A and B ¿ = B. © 2011 Copyright Taylor and Francis Group, LLC.