نتایج جستجو برای: drazin inverse

تعداد نتایج: 90501  

2002
N. CASTRO GONZÁLEZ J. J. KOLIHA

In this paper, we investigate a perturbation of the Drazin inverse AD of a closed linear operator A; the main tool for obtaining the estimates is the gap between subspaces and operators. By (X) we denote the set of all closed linear operators acting on a linear subspace of X to X , where X is a complex Banach space. We write (A), (A), (A), ρ(A), σ(A), and R(λ,A) for the domain, nullspace, range...

Journal: :Filomat 2022

Let E, F ? Cnxn. If EFiE = 0 for all i N, we give the explicit representation of Drazin inverse block complex matrix (E I 0). We thereby solve a wider kind singular differential equations posed by Campbell [S.L. Campbell, The and systems second order linear equations, Linear & Multilinear Algebra, 14(1983), 195-198].

2009
N. CASTRO-GONZÁLEZ PEDRO PATRICIO

We study properties of the Drazin index of regular elements in a ring with a unity 1. We give expressions for generalized inverses of 1−ba in terms of generalized inverses of 1−ab. In our development we prove that the Drazin index of 1 − ba is equal to the Drazin index of 1 − ab. 2000 Mathematics subject classification. primary 15A09; secondary 16U99.

Journal: :Journal of Mathematical Analysis and Applications 2015

Journal: :Bulletin of the Polish Academy of Sciences Technical Sciences 2016

Journal: :Journal of Computational and Applied Mathematics 2011

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