Results 1 to 10 of about 355,626 (313)
Ο-derivations on generalized matrix algebras
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2020 Let π be a commutative ring with unity, π, π be π-algebras, π¨ be (π, π)-bimodule and π© be (π, π)-bimodule. The π-algebra π’ = π’(π, π¨, π©, π) is a generalized matrix algebra defined by the Morita context (π, π, π¨, π©, ΞΎπ¨π©, Ξ©π©π¨).
A. Jabeen, M. Ashraf, Musheer Ahmad
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Jordan Derivations and Antiderivations of Generalized Matrix Algebras [PDF]
Operators and Matrices, 2012 Let $\mathcal{G}=[A & M N & B]$ be a generalized matrix algebra defined by the Morita context $(A, B,_AM_B,_BN_A, \Phi_{MN}, \Psi_{NM})$. In this article we mainly study the question of whether there exist proper Jordan derivations for the generalized ...
Feng Wei, Leon Van, Wyk, Yanbo Li
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Local Lie derivations of generalized matrix algebras
AIMS Mathematics, 2023 In this paper, we investigate local Lie derivations of a certain class of generalized matrix algebras and show that, under certain conditions, every local Lie derivation of a generalized matrix algebra is a sum of a derivation and a linear central-valued
Dan Liu, Jianhua Zhang, Mingliang Song
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Color Image Recovery Using Generalized Matrix Completion over Higher-Order Finite Dimensional Algebra [PDF]
Axioms, 2023 To improve the accuracy of color image completion with missing entries, we present a recovery method based on generalized higher-order scalars. We extend the traditional second-order matrix model to a more comprehensive higher-order matrix equivalent ...
L. Liao +6 more
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Lie $ n $-centralizers of generalized matrix algebras
AIMS Mathematics, 2023 <abstract><p>In this paper, we introduce the notion of Lie $ n $-centralizers. We then give a description of Lie $ n $-centralizers on a generalized matrix algebra and present the necessary and sufficient conditions for a Lie $ n $-centralizer to be proper.
He Yuan, Zhuo Liu
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Computation of generalized matrix functions [PDF]
SIAM Journal on Matrix Analysis and Applications, 2015 We develop numerical algorithms for the efficient evaluation of quantities associated with generalized matrix functions [J. B. Hawkins and A. Ben-Israel, Linear and Multilinear Algebra 1(2), 1973, pp. 163-171].
Arrigo, Francesca +2 more
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Ο-centralizers of generalized matrix algebras
Miskolc Mathematical Notes, 2023 . In the present paper, we characterize Lie (Jordan) Ο -centralizers of generalized matrix algebras. More precisely, we obtain some conditions under which every Lie Ο -centralizer of a generalized matrix algebra can be expressed as the sum of a Ο ...
M. Ashraf, M. Ansari
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Generalized Matrix Algebras [PDF]
Canadian Journal of Mathematics, 1955 The algebras considered here arose in the investigation of an algebra connected with the orthogonal group. We consider an algebra of dimension mn over a field K of characteristic zero, and possessing a basis {eij} (1 β€ i β€ m; 1 β€ j β€ n) with the multiplication property1,The field elements Οij form a matrix Ξ¦ = (Οij) of order n Γ m.
W. P. Brown
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The Generalized Matrix Chain Algorithm [PDF]
IEEE/ACM International Symposium on Code Generation and Optimization, 2018 In this paper, we present a generalized version of the matrix chain algorithm to generate efficient code for linear algebra problems, a task for which human experts often invest days or even weeks of works.
Barthels, Henrik +2 more
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Some matrix properties preserved by generalized matrix functions
Special Matrices, 2019 Generalized matrix functions were first introduced in [J. B. Hawkins and A. Ben-Israel, Linear and Multilinear Algebra, 1(2), 1973, pp. 163-171]. Recently, it has been recognized that these matrix functions arise in a number of applications, and various ...
M. Benzi, Ru Huang
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