Results 11 to 20 of about 146 (131)
The perturbation of Drazin inverse and dual Drazin inverse
Special MatricesIn 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
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The Expression of the Drazin Inverse with Rank Constraints [PDF]
Journal of Applied Mathematics, 2012 By using the matrix decomposition and the reverse order law, we provide some new expressions of the Drazin inverse for any 2×2 block matrix with rank constraints.
Linlin Zhao
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On the Drazin Inverse of the Sum of Two Matrices
Journal of Applied Mathematics, 2011 We deduce the explicit expressions for (P+Q)D and (PQ)D of two matrices P and Q under the conditions P2Q=PQP and Q2P=QPQ. Also, we give the upper bound of |P+QD-PD|2.
Xiaoji Liu, Shuxia Wu, Yaoming Yu
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Differentiability of the g-Drazin inverse [PDF]
Studia Mathematica, 2005 Summary: If \(A(z)\) is a function of a real or complex variable with values in the space \(B(X)\) of all bounded linear operators on a Banach space \(X\) with each \(A(z)\) \(g\)-Drazin invertible, we study conditions under which the \(g\)-Drazin inverse \({A}^D(z)\) is differentiable.
Koliha, J. J., Rakočević, V.
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Some additive results on Drazin inverses [PDF]
Applied Mathematics and Computation, 2009 In this paper, two different approaches to compute the Drazin inverse of a sum of two elements (matrices or elements in a ring) are studied: powering and splitting. Different assumptions are considered in order to obtain the results.
Pedro Patrício, R. E. Hartwig
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Perturbation Bound for the Drazin Inverse of the Matrix-Value Function
Advances in Mathematical Physics, 2019 The perturbation analysis of the differential for the Drazin inverse of the matrix-value function A(t)∈Cn×n is investigated. An upper bound of the Drazin inverse and its differential is also considered.
Yonghui Qin, Zhenshu Xie, Xiaoji Liu
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The (2,2,0) Drazin inverse problem
Linear Algebra and its Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patrício, Pedro, Hartwig, Robert E.
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On the coincidence of the Drazin inverse and the Drazin-Moore-Penrose inverses
Linear and Multilinear Algebra, 2020 [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. This characterization is deduced from statements valid for finite potent endomorphisms and, in particular, several properties of matrices and generalized inverses are given.
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Continuity and general perturbation of the Drazin inverse for closed linear operators
Abstract and Applied Analysis, 2002 We study perturbations and continuity of the Drazin inverse of a closed linear operator A and obtain explicit error estimates in terms of the gap between closed operators and the gap between ranges and nullspaces of operators.
N. Castro González +2 more
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An Improved Computationally Efficient Method for Finding the Drazin Inverse
Discrete Dynamics in Nature and Society, 2018 Drazin inverse is one of the most significant inverses in the matrix theory, where its computation is an intensive and useful task. The objective of this work is to propose a computationally effective iterative scheme for finding the Drazin inverse.
Haifa Bin Jebreen, Yurilev Chalco-Cano
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