Results 41 to 50 of about 340 (155)
The generalized Drazin inverse of operator matrices
Hacettepe Journal of Mathematics and Statistics, 2020 Representations for the generalized Drazin inverse of an operator matrix $\begin{pmatrix}A & B \\ C & D \end{pmatrix}$ are presented in terms of $A,B,C,D$ and the generalized Drazin inverses of $A,D$, under the condition that $BD^d=0,~\text{and}~BD^iC=0,~\text{for any nonnegative integer}~ i.$ Using the representation, we give a new ...
Li GUO, Honglin ZOU, Jianlong CHEN
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Generalized Jacobson's lemma for generalized Drazin inverses
, 2020 We present new generalized Jacobson's lemma for generalized Drazin inverses. This extend the main results on g-Drazin inverse of Yan, Zeng and Zhu (Linear $\&$ Multilinear Algebra, {\bf 68}(2020), 81--93).
Chen, Huanyin, Sheibani, Marjan
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A note on computing the generalized inverse A T,S (2) of a matrix A
International Journal of Mathematics and Mathematical Sciences, 2002 The generalized inverse A T,S (2) of a matrix A is a {2}-inverse of A with the prescribed range T and null space S. A representation for the generalized inverse A T,S (2) has been recently developed with the condition σ (GA| T)⊂(0,∞), where G is a matrix
Xiezhang Li, Yimin Wei
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An extension of Cline''s formula for a generalized Drazin inverse
TURKISH JOURNAL OF MATHEMATICS, 2016 Summary: In this note we give an answer to a question recently posed by Zeng and Zhong, to note that Cline's formula for a generalized Drazin inverse extends to the case when \(aba=aca\). Cline's formula for a pseudo Drazin inverse is also presented in this case.
Lian, Haifeng, Zeng, Qingping
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Are less hierarchical firms organized around stronger cultures? Evidence from big data
Strategic Management Journal, Volume 47, Issue 2, Page 463-493, February 2026.Abstract Research Summary Are less hierarchical firms organized around stronger cultures instead? We analyze 1.5 million employee reviews on Glassdoor.com from 23,000 US‐based firms, alongside data on managerial hierarchy estimated from 42 million professional social media profiles.
Arianna Marchetti, Phanish Puranam
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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 +3 more
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Regularization by Global DGMRES Method for Ill‐Posed Matrix Equation AXB = G
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.In this article, we deal with the solution of the linear, large‐size, and ill‐posed matrix equation AXB = G, whose matrix G is contaminated with noise. We apply Tikhonov regularization in combination with the Gl‐DGMRES method to mitigate the effect of noise.
Vahid Hosseinabadi +2 more
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Generalized cline’s formula for the generalized Drazin inverse in rings
Filomat, 2023 In this paper, we present new generalized Cline?s formula for g-Drazin inverse in rings and Banach algebras. These extend many known results, e.g., Chen and Abdolyousefi (Cline?s formula for g-Drazin inverses in a ring, Filomat, 33(2019), 2249-2255), Miller and Zguitti (New extensions of Jacobson?s lemma and Cline?s formula, Rend. Circ. Mat.
Huanyin Chen, Marjan Abdolyousefi
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General Algebraic Solutions of Fuzzy Dual Number Linear Systems
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we define fuzzy dual number linear systems (FDLSs) expressed as CZ˜=W˜, where C represents a crisp dual number matrix and W˜ denotes a fuzzy dual number vector. Our study focuses on three primary objectives. First, we obtain the existence of strong fuzzy solutions to the FDLS by analyzing the CMP inverse of coefficient matrix. Second, we
Hongjie Jiang +3 more
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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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