Results 31 to 40 of about 340 (155)
Generalized cline’s formula for g-Drazin inverse in a ring
Filomat, 2021 In this paper, we give a generalized Cline?s formula for the generalized Drazin inverse. Let R be a ring, and let a, b, c, d ? R satisfying (ac)2 = (db)(ac), (db)2 = (ac)(db), b(ac)a = b(db)a, c(ac)d = c(db)d. Then ac ? Rd if and only if bd ? Rd.
Chen, Huanyin +1 more
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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
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Generalized Drazin inverses in a ring
Filomat, 2018 An element a in a ring R has generalized Drazin inverse if and only if there exists b ? comm2(a) such that b = b2a,a-a2b ? Rqnil. We prove that a ? R has generalized Drazin inverse if and only if there exists p3 = p ? comm2(a) such that a + p ? U(R) and ap 2 Rqnil.
Chen, Huanyin, Sheibani, Marjan
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Bordering method to compute Core-EP inverse
Special Matrices, 2018 Following the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized ...
Prasad K. Manjunatha, Raj M. David
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Some additive results on Drazin inverse [PDF]
, 2015 In this paper, we investigate additive results of the Drazin inverse of elements in a ring R. Under the condition ab = ba, we show that a + b is Drazin invertible if and only if aa^D(a+b) is Drazin invertible, where the superscript D means the Drazin ...
Liu, X.J. +2 more
core +1 more source
Additive results for the generalized Drazin inverse [PDF]
Journal of the Australian Mathematical Society, 2002 AbstractAdditive perturbation results for the generalized Drazin inverse of Banach space operators are presented. Precisely, ifAddenotes the generalized Drazin inverse of a bounded linear operatorAon an arbitrary complex Banach space, then in some special cases(A + B)dis computed in terms ofAdandBd. Thus, recent results of Hartwig, Wang and Wei (Linear
Djordjević, Dragan S., Wei, Yimin
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Additive results for the generalized Drazin inverse in a Banach algebra [PDF]
, 2006 In this paper we investigate additive properties of the generalized Drazin inverse in a Banach algebra. We find some new conditions under which the generalized Drazin inverse of the sum a+b could be explicitly expressed in terms of a, ad, b, bd.
Dragana S. Cvetković-Ilić +7 more
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IGMRES method for linear systems [PDF]
Journal of Mahani Mathematical ResearchThe Index Generalized Minimal RESidual (IGMRES) algorithm is designed to compute the Drazin-inverse solution of a linear system of equations $Ax=b$, where $A$ is an arbitrary square matrix with index $\gamma$.
Faranges Kyanfar
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Determinantal Representations of the Weighted Core‐EP, DMP, MPD, and CMP Inverses
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 In this paper, new notions of the weighted core‐EP left inverse and the weighted MPD inverse which are dual to the weighted core‐EP (right) inverse and the weighted DMP inverse, respectively, are introduced and represented. The direct methods of computing the weighted right and left core‐EP, DMP, MPD, and CMP inverses by obtaining their determinantal ...
Ivan I. Kyrchei, George Psihoyios
wiley +1 more source
New Additive Results for the Generalized Drazin Inverse in a Banach Algebra [PDF]
, 2016 In this paper, we investigate additive properties of the generalized Drazin inverse in a Banach algebra A. We find explicit expressions for the generalized Drazin inverse of the sum a + b, under new conditions on a,b is an element of A.The authors would ...
Xiaolan Qin +5 more
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