Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Further additive results on the Drazin inverse
View through CrossRef
In this paper, we provide original representation for the Drazin inverse of P
+ Q under the conditions P2Q = 0, Q(PQ)2 = 0, Q2PQ2 = 0, QPQ3 = 0 and QPQ2PQ
= 0. Then, we apply our results to derive some new expressions for the
Drazin inverse of a 2 ? 2 complex block matrix M = [A B C D] ? Cn?n(where
A and D are square matrices but not necessarily of the same size). Finally,
several illustrative numerical examples are given to demonstrate our
results.
Title: Further additive results on the Drazin inverse
Description:
In this paper, we provide original representation for the Drazin inverse of P
+ Q under the conditions P2Q = 0, Q(PQ)2 = 0, Q2PQ2 = 0, QPQ3 = 0 and QPQ2PQ
= 0.
Then, we apply our results to derive some new expressions for the
Drazin inverse of a 2 ? 2 complex block matrix M = [A B C D] ? Cn?n(where
A and D are square matrices but not necessarily of the same size).
Finally,
several illustrative numerical examples are given to demonstrate our
results.
Related Results
Weighted G-Drazin inverse for operators on Banach spaces
Weighted G-Drazin inverse for operators on Banach spaces
We define an extension of weighted G-Drazin inverses of rectangular matrices to operators between two Banach spaces. Some properties of weighted G-Drazin inverses are generalized a...
Some spectral properties of linear operators satisfying two important symmetric equalities
Some spectral properties of linear operators satisfying two important symmetric equalities
We study the importance of Drazin invertibility of operators on Banach space, in this work we present some common spectral properties for some class of bounded linear operators o...
Some additive results for the W g-Drazin inverse of Banach space operators
Some additive results for the W g-Drazin inverse of Banach space operators
We investigate additive properties of W g–Drazin inverse of two W g-Drazin invertible linear operators in Banach spaces under the commutative case. These results generalize recent ...
New characterizations of g-Drazin inverse in a Banach algebra
New characterizations of g-Drazin inverse in a Banach algebra
In this paper, we present a new characterization of g-Drazin inverse in a
Banach algebra. We prove that an element a in a Banach algebra has g-Drazin
inverse if and only if t...
Robust treatment planning for small animal radio‐neuromodulation using focused kV x‐ray beams
Robust treatment planning for small animal radio‐neuromodulation using focused kV x‐ray beams
AbstractBackgroundIn preclinical radio‐neuromodulation research, small animal experiments are pivotal for unraveling radiobiological mechanism, investigating prescription and plann...
Unveiling the Environmental and Economic Implications of Additive Manufacturing on Inbound Transportation
Unveiling the Environmental and Economic Implications of Additive Manufacturing on Inbound Transportation
This studyaims to investigate the impact of additive manufacturing (AM) on the sustainability of inbound transportation. By combining insights from existing litera...
Quaternion MPCEP, CEPMP, and MPCEPMP Generalized Inverses
Quaternion MPCEP, CEPMP, and MPCEPMP Generalized Inverses
A generalized inverse of a matrix is an inverse in some sense for a wider class of matrices than invertible matrices. Generalized inverses exist for an arbitrary matrix and coincid...
Estimation of additive and dominance genetic variance components for female fertility traits in Iranian Holstein cows
Estimation of additive and dominance genetic variance components for female fertility traits in Iranian Holstein cows
AbstractThe aim of the current study was to estimate additive and dominance genetic variance components for days from calving to first service (DFS), a number of services to concep...