Results 21 to 30 of about 340 (155)
On the Generalized Drazin inverse of the Sum in a Banach Algebra [PDF]
Quaestiones Mathematicae, 2018 The objective of this paper is to study the existence of the generalized Drazin inverse of the sum $a+b$ in a Banach algebra and present explicit expressions for the generalized Drazin inverse of this sum, under new conditions.
Dijana Mosić, Daochang Zhang
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On generalized-Drazin inverses and GD-star matrices
Journal of Applied Mathematics and Computing, 2023 Motivated by the works of Wang and Liu [Linear Algebra Appl., 488 (2016) 235-248; MR3419784] and Mosic [Results Math., 75(2) (2020) 1-21; MR4079761], we provide further results on GD inverses and introduce two new classes for square matrices called GD-star (generalized-Drazin-star) and GD-star-one (generalized-Drazin-star-one) using a GD inverse of a ...
Amit Kumar +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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Persistent Model Biases in the CMIP6 Representation of Stratospheric Polar Vortex Variability
Journal of Geophysical Research: Atmospheres, Volume 126, Issue 12, 27 June 2021., 2021 Abstract Sudden stratospheric warmings (SSWs) can have major impact on surface wintertime weather, especially at mid‐high latitudes. We do not yet have a complete understanding of why some of these events influence our weather more than others, but one factor may be the dynamical nature of the SSW; whether it involves a split or a displacement of the ...
Richard J. Hall +3 more
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Generalized Jacobson’s lemma for generalized Drazin inverses
Filomat, 2021 We present new generalized Jacobson?s lemma for generalized Drazin inverses. This extends the main results on g-Drazin inverse of Yan, Zeng and Zhu (Linear & Multilinear Algebra, 68(2020), 81-93).
Huanyin Chen, Marjan Abdolyousefi
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On the Low‐Degree Solution of the Sylvester Matrix Polynomial Equation
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We study the low‐degree solution of the Sylvester matrix equation (A1λ + A0)X(λ) + Y(λ)(B1λ + B0) = C0, where A1λ + A0 and B1λ + B0 are regular. Using the substitution of parameter variables λ, we assume that the matrices A0 and B0 are invertible.
Yunbo Tian +2 more
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Some results on Drazin-Dagger matrices, reciprocal matrices, and conjugate EP matrices [PDF]
Journal of Mahani Mathematical ResearchIn this paper, a class of matrices, namely, Drazin-dagger matrices, in which the Drazin inverse andthe Moore-Penrose inverse commute, is introduced. Also, some properties of the generalized inverses of these matrices, are investigated.
Mahdiyeh Mortezaei +1 more
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The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 Based on the core‐EP decomposition, we use the WG inverse, Drazin inverse, and other inverses to give some new characterizations of the WG matrix. Furthermore, we generalize the Cayley–Hamilton theorem for special matrices including the WG matrix. Finally, we give examples to verify these results.
Na Liu +2 more
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Ordering of Transformed Recorded Electroencephalography (EEG) Signals by a Novel Precede Operator
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 Recorded electroencephalography (EEG) signals can be represented as square matrices, which have been extensively analyzed using mathematical methods to extract invaluable information concerning brain functions in terms of observed electrical potentials; such information is critical for diagnosing brain disorders.
Amirul Aizad Ahmad Fuad +2 more
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A generalized Drazin inverse [PDF]
Glasgow Mathematical Journal, 1996 The main theme of this paper can be described as a study of the Drazin inverse for bounded linear operators in a Banach spaceXwhen 0 is an isolated spectral point ofthe operator. This inverse is useful for instance in the solution of differential equations formulated in a Banach spaceX.
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