Results 21 to 30 of about 146 (131)

On gs-Drazin inverses in a ring

Journal of Algebra and Its Applications, 2019
An element [Formula: see text] in a ring [Formula: see text] has a gs-Drazin inverse if there exists [Formula: see text] such that [Formula: see text]. In this paper, we extend Cline’s formula and Jacobson’s Lemma for gs-Drazin inverses. Various additive properties of gs-Drazin inverses are thereby obtained.
Chen, Huanyin, Calci, Mete Burak
openaire   +2 more sources

Further results on Left and Right Generalized Drazin Invertible Operators

Математичні Студії, 2020
In this paper we present some new characteristics and expressions of left and right generalized Drazin invertible bounded operators on a Banach space $X.$ An explicit formula relating the left and the right generalized Drazin inverses to spectral ...
So. Messirdi, Sa. Messirdi, B. Messirdi
doaj   +1 more source

The pointwise completeness and the pointwise degeneracy of fractional descriptor discrete-time linear systems [PDF]

Bulletin of the Polish Academy of Sciences: Technical Sciences, 2019
The Drazin inverse of matrices is applied to analysis of the pointwise completeness and of the pointwise degeneracy of the fractional descriptor linear discrete-time systems.
T. Kaczorek
doaj   +1 more source

Drazin Inverses in Categories

Theory and Applications of Categories
Drazin inverses are a fundamental algebraic structure which have been extensively deployed in semigroup theory, ring theory, and matrix theory. Drazin inverses can also be defined for endomorphisms in any category. However, beyond a paper by Puystjens and Robinson from 1987, there has been almost no further development of Drazin inverses in category ...
Cockett, Robin, Pacaud Lemay, Jean-Simon, Srinivasan, Priyaa Varshinee   +2 more
openaire   +3 more sources

Applications of the g-Drazin Inverse to the Heat Equation and a Delay Differential Equation

Abstract and Applied Analysis, 2017
We consider applications of the g-Drazin inverse to some classes of abstract Cauchy problems, namely, the heat equation with operator coefficient and delay differential equations in Banach space.
Alrazi Abdeljabbar, Trung Dinh Tran
doaj   +1 more source

Corporate Psychopaths as Risk Factors: The Role of Managerial Control and Competition for Risk Governance

Strategic Change, EarlyView.
ABSTRACT The increasing prevalence of corporate scandals and dysfunction linked to psychopathic leaders has prompted significant research into the drivers and effects of psychopathy in business. This paper examines corporate psychopathy, focusing on individuals with extreme selfishness, callousness, and manipulative behavior who often achieve ...
Florian Fuchs
wiley   +1 more source

A characterization of the drazin inverse

Linear Algebra and its Applications, 2001
Given a square complex matrix \(A\) of order \(n\), the author shows that there exists a unique Drazin inverse \(Y\) of \(A\) under certain conditions involving the index of \(A\) and the rank of a composed matrix of order \(2n\) (first row: \(A\), \(AY\); second row: \(AY\), \(Y\)) that must be equal with \(\operatorname {rank}A\).
openaire   +1 more source

Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces

Abstract and Applied Analysis, 2013
A higher-order convergent iterative method is provided for calculating the generalized inverse over Banach spaces. We also use this iterative method for computing the generalized Drazin inverse in Banach algebra.
Xiaoji Liu, Fu Huang
doaj   +1 more source

The Natural Components of a Regular Linear System

Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 603-622, August 2026.
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley   +1 more source

Solitary Waves of Moderate Amplitude and Dispersive Radiation in the Serre Equations: The Extended KdV–Whitham Approximation

Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.
ABSTRACT We consider the extended Korteweg–de Vries (eKdV) equation as a model for long moderately nonlinear surface water waves and use it to describe the evolution of initial conditions generating solitary waves with and without significant dispersive radiation, as well as cases of pure dispersive radiation without any solitary waves.
Benjamin Martin, Dmitri Tseluiko, Karima Khusnutdinova   +2 more
wiley   +1 more source