Results 31 to 40 of about 90,344 (295)
Smoothness of generalized inverses
Indagationes Mathematicae, 2012 AbstractThe paper is largely expository. It is shown that if a(x) is a smooth unital Banach algebra valued function of a parameter x, and if a(x) has a locally bounded generalized inverse in the algebra, then a generalized inverse of a(x) exists which is as smooth as a(x) is.
Leiba Rodman, Jürgen Leiterer
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On the existence of generalized inverses
Linear Algebra and its Applications, 1974 AbstractConditions are given for the existence of a generalized inverse of a ring morphism, and the results are related to the theory of semi-simple Artinian rings. Necessary and sufficient conditions are also given for the existence of a generalized inverse of a morphism on real inner product spaces.
Donald W. Robinson, Gary W. Hansen
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Projections for generalized inverses [PDF]
Linear and Multilinear Algebra, 2017 [EN] Let R be a unital ring with involution. In Section 2, for given two core invertible elements a, b. R, we investigate mainly the absorption law for the core inverse in virtue of the equality of the projections aa and .In Section 3, we study several relations concerning the projections a a and bb , where a . a{1, 2, 4} and b . b{1, 2, 3}. Some well-
Xu, Sanzhang +2 more
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Inverse Generalized Maximum Flow Problems
Mathematics, 2019 A natural extension of maximum flow problems is called the generalized maximum flow problem taking into account the gain and loss factors for arcs. This paper investigates an inverse problem corresponding to this problem. It is to increase arc capacities
Javad Tayyebi, Adrian Deaconu
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The Geometry of Generalized Inverses [PDF]
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1975 Summary Generalized inverses of linear transformations must satisfy at least the natural requirement that they are true inverses for appropriately restricted subspaces. There are three other characteristics that may or may not hold independently.
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The Transmuted Generalized Inverse Weibull Distribution
Austrian Journal of Statistics, 2014 A generalization of the generalized inverse Weibull distribution the so-called transmuted generalized inverse Weibull distribution is proposed and studied.
Faton Merovci +2 more
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Characterizations of Matrix Equalities for Generalized Inverses of Matrix Products
Axioms, 2022 This paper considers how to construct and describe matrix equalities that are composed of algebraic operations of matrices and their generalized inverses.
Yongge Tian
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The Scientific World Journal, 2015 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∈A.
Xiaoji Liu, Xiaolan Qin
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Advances in Difference Equations, 2018 In this paper, we introduce two approaches to the generalized synchronized synchronization and the inverse generalized synchronization of fractional discrete-time chaotic systems with non-identical dimensions.
Amina-Aicha Khennaoui +5 more
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Gauss and generalized inverses
Historia Mathematica, 1980 AbstractAlthough Gauss did not formalize the notion of a generalized inverse, he provided the essential ingredients to produce one.
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