Results 101 to 110 of about 640 (203)

Drazin inverse and its application to linear degenerate systems

, 1998
In the thesis, we review some recent progresses on the study of Drazin inverses and the study of linear degenerate systems with nonsingular pencil. Properties of the Drazin inverse are discussed.
Wilcox, Trevor Allen
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Attention to space and time: Independent or interactive systems? A narrative review. [PDF]

Psychon Bull Rev, 2023
Capizzi M, Chica AB, Lupiáñez J, Charras P.   +3 more
europepmc   +1 more source

Representations for the generalized Drazin inverse in a Banach algebra [PDF]

, 2013
[EN] In this paper, we investigate additive properties for the generalized Drazin inverse in a Banach algebra A. We give some representations for the generalized Drazin inverse of a+b, where a and b are elements of A under some new conditions, extending
Benítez López, Julio, Qin, Y., Liu, X.
core  

Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses

Complexity, 2017
Conditions for the existence and representations of 2-, 1-, and 1,2-inverses which satisfy certain conditions on ranges and/or null spaces are introduced.
Predrag S. Stanimirović, Miroslav Ćirić, Igor Stojanović, Dimitrios Gerontitis   +3 more
doaj   +1 more source

A Note on Representations of the Drazin Inverse for Complex Partitioned Matrices

Mathematics
In this paper, we present explicit representations for Drazin inverses of the sum P+Q under the conditions P2Q=0, Q2PQ=0, and Q(PQ)2=0. Then, we apply our results to derive a series of representations for the Drazin inverses of a 2×2 complex partitioned ...
Yue Zhao, Daochang Zhang, Dijana Mosić
doaj   +1 more source

Dagger-Drazin Inverses

Electronic Proceedings in Theoretical Computer Science
In Proceedings QPL 2025, arXiv:2508 ...
Cockett, Robin, Lemay, Jean-Simon Pacaud, Srinivasan, Priyaa Varshinee   +2 more
openaire   +2 more sources

Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]

J Nonlinear Sci, 2023
Congy T, El GA, Roberti G, Tovbis A.
europepmc   +1 more source

The error bound of the perturbation of the Drazin inverse

, 1982
Let A and E be n×n matrices and B = A + E. Denote the Drazin inverse of A by AD. In this paper we give an upper bound for the relative error ∥BD − AD∥/∥AD∥2 and a lower bound for ∥BD∥2 under certain circumstances.
Guang-Hao Rong, Rong, Guang-Hao
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A note on the formulas for the Drazin inverse of the sum of two matrices

Open Mathematics, 2019
In this paper we derive the formula of (P + Q)D under the conditions Q(P + Q)P(P + Q) = 0, P(P + Q)P(P + Q) = 0 and QPQ2 = 0. Then, a corollary is given which satisfies the conditions (P + Q)P(P + Q) = 0 and QPQ2 = 0. Meanwhile, we show that the additive
Liu Xin, Yang Xiaoying, Wang Yaqiang
doaj   +1 more source

A new extension of generalized Drazin inverse in Banach algebras

, 2022
In this paper, we introduce and study a new generalized inverse, called ag-Drazin inverses in a Banach algebra $\mathcal{A}$ with unit $1$. An element $a\in\mathcal{A}$ is ag-Drazin invertible if there exists $x\in\mathcal{A}$ such that $ax=xa, \, xax=x \
Jiang, Lining, Ren, Yanxun
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