The pointwise completeness and the pointwise degeneracy of fractional descriptor discrete-time linear systems [PDF]
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
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Additive Drazin inverse preservers
Let H be a real or complex Hilbert space and B(H) denote the Banach algebra of all bounded linear operators on H. For T∈B(H), if there exists an operator TD∈B(H) and a positive integer k such thatTTD=TDT,TDTTD=TD,Tk+1TD=Tk,then T is said to be Drazin ...
Cui, Jianlian, Jianlian Cui
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The P-Drazin İnverse for Operator Matrix Over Banach Algebras [PDF]
An element a in a Banach algebra A has p-Drazin inverse provided that there exists b2 comm(a) such that b = b2a, ak ↋ ak+1b 2 J(A) for some k 2 N. In this paper, we present new conditions for a block operator matrix to have p-Drazin inverse.
Köse, Handan +3 more
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Applications of the g-Drazin Inverse to the Heat Equation and a Delay Differential Equation
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
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Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces
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
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The Natural Components of a Regular Linear System
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
Are less hierarchical firms organized around stronger cultures? Evidence from big data
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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A weighted Drazin inverse and applications
In this paper the notation of the Cline–Greville W-weighted Drazin inverse of a rectangular matrix is extended to bounded linear operators between Banach spaces.
Vladimir Rakočević +3 more
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Facies analysis provides new insights into event bed deposition in a hadal trench environment
ABSTRACT Hadal trenches preserve exceptional sedimentary archives of past geological events, yet their depositional processes remain poorly constrained. The Japan Trench captures complex earthquake‐triggered event beds that record repeated sediment‐gravity flows that deliver terrigenous and biogenic material into the trench, informing palaeoseismic ...
Mishelle Muthre +6 more
wiley +1 more source
Formulae for the Generalized Drazin Inverse of a Block Matrix in Banach Algebras
We present some new representations for the generalized Drazin inverse of a block matrix in a Banach algebra under conditions weaker than those used in resent papers on the subject.
Xiaoji Liu, Xiaolan Qin
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