In this paper, we investigate properties of  with closed range satisfying the operator equations   particular, invertibility of   with where Moore-Penrose inverse of T turns out to be usual under some classes operators. We also deduce a perturbed linear operator  where  such that  has ranges and  given conditions. The relation between and null s...

The purpose of this paper is to investigate solvability systems constrained matrix equations in the form minimization problems. main novelty unification solutions considered with corresponding For a particular case we extend some well-known results and give several new for weak Drazin inverse. characterizations inverse, group inverse Moore–Penrose are obtained as consequences.

In this paper, {α, k}-group periodic matrices are introduced and analyzed. Using different approach (as {1}-inverses, Moore-Penrose inverse, elementary matrices, left and right inverses and singular value decomposition) we characterize this kind of matrices. Some results presented are an extension of those known about group inverse and group periodic matrices. Key–Words:Generalized inverse, gro...

The paper deals with the role of the generalized inverses in solving saddle-point systems arising naturally in the solution of many scientific and engineering problems when FETI based domain decomposition methods are used to their numerical solution. It is shown that the Moore-Penrose inverse may be obtained in this case at negligible cost by projecting an arbitrary generalized inverse using or...