Results 71 to 80 of about 340 (155)

Formulas for the Drazin inverse of matrices over skew fields

, 2016
For two square matrices P and Q over skew fields, the explicit formulas for the Drazin inverse of P+Q are given in the cases of (i) PQ2=0, P2QP=0, (QP)2=0; (ii) P2QP=0, P3Q=0, Q2=0, which extend the results in [M.F.
Baodong Zheng, Lizhu Sun, Shuyan Bai, Changjiang Bu   +3 more
core   +1 more source

Generalized inverse restricted by the normal Drazin equation

Linear and Multilinear Algebra, 2014
In this work, we introduce a new kind of generalized inverse, called the -restricted weighted Drazin inverse of with respect to a positive semi-definite/definite matrix . The new approach proposed makes use of the normal Drazin equation of a nonconsistent matrix equation as the constraint set of the minimization.
Stanimirović, P.S., Pappas, D., Katsikis, V.N.   +2 more
openaire   +2 more sources

The perturbation of Drazin inverse and dual Drazin inverse

Special Matrices
In this study, we derive the Drazin inverse (A+εB)D{\left(A+\varepsilon B)}^{D} of the complex matrix A+εBA+\varepsilon B with Ind(A+εB)>1{\rm{Ind}}\left(A+\varepsilon B)\gt 1 and Ind(A)=k{\rm{Ind}}\left(A)=k and the group inverse (A+εB)#{\left(A ...
Wang Hongxing, Cui Chong, Wei Yimin
doaj   +1 more source

Perturbation bound for the generalized Drazin inverse of an operator in Banach space

, 2017
In this paper, we consider perturbation analysis for the generalized Drazin inverse of an operator in Banach space. An necessary and sufficient condition for the generalized Drazin invertible is given. The upper bound is given under some certain
Yonghui Qin, Xiaoji Liu
core   +1 more source

Generalized Drazin invertibility of combinations of idempotents

, 2012
The paper serves as a correction to J. Math. Anal. Appl. 359 (2009) 731–738 dealing with the Drazin invertibility of combinations of idempotents p,q in a Banach algebra.
Deng, Chunyuan, Koliha, J.J., Cvetković-Ilić, Dragana   +2 more
core   +1 more source

Recombinant Human Bone Morphogenetic Protein-2 Use in Adult Spinal Deformity Surgery: Comparative Analysis and Healthcare Utilization at 24 Months' Follow-up. [PDF]

Global Spine J, 2022
Dietz N, Sharma M, Kelly M, Ugiliweneza B, Wang D, Osorio J, Karikari I, Drazin D, Boakye M.   +8 more
europepmc   +1 more source

A note on the representation for the Drazin inverse of 2×2 block matrices

, 2008
In this note we consider representations of the Drazin inverse of 2×2 block matrices under conditions weaker than those used in recent papers on the subject, in particular in [D.S. Djordjević, P.S.
Cvetković-Ilić, Dragana S.
core   +1 more source

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

On the coincidence of the Drazin inverse and the Drazin-Moore-Penrose inverses

, 2022
[EN] The aim of this work is to offer necessary and sufficient conditions for the coincidence of the Drazin inverse and the DMP inverses of finite square complex matrices.
Pablos Romo, Fernando
core   +1 more source

Continuity of the Drazin inverse II

, 1998
We study the continuity of the generalized Drazin inverse for elements of Banach algebras and bounded linear operators on Banach spaces.
Koliha, J., Rakočević, V.
core