Results 91 to 100 of about 640 (203)

Some additive results on Drazin inverse

open access: yes, 2001
Some additive perturbation results for Drazin inverses are given. In particular, a formula is given for the Drazin inverse of a sum of two matrices, when one of the products of these matrices vanishes.
Hartwig, Robert E.   +5 more
core   +1 more source

G-Drazin inverse combined with inner inverse

open access: yesLinear and Multilinear Algebra
16 pages, Linear and Multilinear Algebra (2024)
G. Maharanaa   +2 more
openaire   +3 more sources

Expressions for the G-Drazin Inverse of Additive Perturbed Elements

open access: yes, 2011
To study the properties of the generalized Drazin inverse in a Banach algebra, an explicit representation of the generalized Drazin inverse under the some conditions. Thus some results are generalized.
Yu Jing Liu, Li Guo
core   +1 more source

Pointwise completeness and pointwise degeneracy of fractional standard and descriptor linear continuous-time systems with different fractional orders

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2020
Descriptor and standard linear continuous-time systems with different fractional orders are investigated. Descriptor systems are analyzed making use of the Drazin matrix inverse.
Kaczorek Tadeusz, Sajewski Łukasz
doaj   +1 more source

Unbounded B-Fredholm operators on Hilbert spaces

open access: yes, 2008
This paper is concerned with the study of a class of closed linear operators densely defined on a Hilbert space H and called B-Fredholm operators.
Berkani, M.   +3 more
core   +1 more source

A note on the range of the product of two operators

open access: yes上海师范大学学报. 自然科学版, 2019
Let H and K be two Hilbert spaces,and let A∈B(H),B∈B(K,H) be two bounded linear operators such that ind(A) ≤ 1,R(AB)⊆R(B) and R(B) is closed in H.A sufficient condition is given under which R(AB)=R(A)∩R(B).Furthermore,a counterexample is constructed such
QIN Mengjie, XU Qingxiang
doaj   +1 more source

Continuity of the Drazin inverse II

open access: yes, 1998
We study the continuity of the generalized Drazin inverse for elements of Banach algebras and bounded linear operators on Banach spaces.
Koliha, J., Rakočević, V.
core  

The Expression of the Generalized Drazin Inverse of A − CB

open access: yes, 2020
We investigate the generalized Drazin inverse of A − CB over Banach spaces stemmed from the Drazin inverse of a modified matrix and present its expressions under some ...
Xiaoji Liu, Yaoming Yu, Dengping Tu
core  

Cayley-Hamilton theorem for Drazin inverse matrix and standard inverse matrices

open access: yes, 2016
The classical Cayley-Hamilton theorem is extended to Drazin inverse matrices and to standard inverse matrices. It is shown that knowing the characteristic polynomial of the singular matrix or nonsingular matrix, it is possible to write the analog Cayley ...
Kaczorek, T.
core   +1 more source

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