Results 21 to 30 of about 640 (203)
Results on the controllability of Caputo’s fractional descriptor systems with constant delays [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 The paper investigates the controllability of fractional descriptor linear systems with constant delays in control. The Caputo fractional derivative is considered.
Beata Sikora
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On the generalized Drazin inverse and generalized resolvent [PDF]
, 2001 summary:We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced.
Stanimirović, Predrag S. +1 more
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Representations for the Drazin inverses of block matrices
MATEC Web of Conferences, 2016 In this paper, we investigate representations of the Drazin inverse of a 2 × 2 block matrix. The Drazin inverse of a matrix is very important in various applied mathematical fields like machinery and automation, singular differential equations. We give a
Guo Li, Wang Jie, Du Wenming
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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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Additive properties of the drazin inverse and the drazin inverse of block matrices [PDF]
, 2015 In this dissertation, the Drazin inverse of a square complex matrix is studied. Additive properties of the Drazin inverse are investigated and some original results are presented.
Višnjić, Jelena M.
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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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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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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
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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
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