Results 61 to 70 of about 340 (155)

Drazin Inverse of Jordan Form Matrix

, 2019
One type of Generalized Inverse is Drazin Inverse, or some people say the spectral inverse. In this note, we pointed out that through Jordan Form Matrices, the Drazin Inverse is well understood. \\ {\tt The authors would like dedicated this note to Prof.
Teduh Wulandari Masoed, Agah D. Garnadi
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The Expression of the Generalized Drazin Inverse of A − CB

, 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  

On the Construction of a Two-Step Sixth-Order Scheme to Find the Drazin Generalized Inverse

Axioms
This study introduces a numerically efficient iterative solver for computing the Drazin generalized inverse, addressing a critical need for high-performance methods in matrix computations.
Keyang Zhang, Fazlollah Soleymani, Stanford Shateyi   +2 more
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Expressions for the G-Drazin Inverse of Additive Perturbed Elements

, 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
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Perturbation for the Group Inverse in a Banach Algebra

Axioms
We present new additive results for the group inverse in a Banach algebra under certain perturbations. The upper bound of ∥(a+b)#−ad∥ is thereby given. These results extend the main results presented by Liu, Qin, and Wei.
Dayong Liu, Tugce Pekacar Calci, Handan Kose, Huanyin Chen   +3 more
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Generalized inverses over integral domains. II. group inverses and Drazin inverses

Linear Algebra and its Applications, 1991
This is a continuation of an earlier paper by the authors [ibid. 140, 181--196 (1990; Zbl 0712.15004)] on generalized inverses over integral domains. The main results consist of necessary and sufficient conditions for the existence of a group inverse, a new formula for a group inverse when it exists, and necessary and sufficient conditions for the ...
Manjunatha Prasad, K., Bhaskara Rao, K.P.S., Bapat, R.B.   +2 more
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Extension of the generalized n-strong Drazin inverse

Filomat, 2023
The aim of this paper is to present an extension of the generalized n-strong Drazin inverse for Banach algebra elements using a g-Drazin invertible element rather than a quasinilpotent element in the definition of the generalized n-strong Drazin inverse.
Dijana Mosic, Honglin Zou, Long Wang
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Generalized Sherman-Morrison-Woodbury formula for the generalized Drazin inverse in Banach algebra

, 2017
In this article, we investigate the generalization of Sherman-Morrison-Woodbury formula for the generalized Drazin inverse for elements in Banach algebra.
Milica Kolundzija
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On the relation of the Drazin inverse and matrix pencil theory methods for the study of generalized linear systems

, 2007
In control theory, the methodology of the Drazin inverse and matrix pencil theory methods for generalized regular systems are extensively used. Thus, in this paper, a relation between the Drazin Inverse and the Weierstrass form of a regular pencil is ...
Karageorgos, Athanasios D., Pantelous, Athanasios A., Kalogeropoulos, Grigoris I.   +2 more
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A Generalized Method for Deriving Steady-State Behavior of Consistent Fuzzy Priority for Interdependent Criteria

Mathematics
Interdependent criteria play a crucial role in complex decision-making across various domains. Traditional methods often struggle to evaluate and prioritize criteria with intricate dependencies.
Jih-Jeng Huang, Chin-Yi Chen
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