Results 31 to 40 of about 641 (72)
An algebraic model for the propagation of errors in matrix calculus
Special Matrices, 2020 We assume that every element of a matrix has a small, individual error, and model it by an external number, which is the sum of a nonstandard real number and a neutrix, the latter being a convex (external) additive group.
Van Tran Nam, van den Berg Imme
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Reverse order law for weighted Moore-Penrose inverses of multiple matrix products
, 2014 In this paper by using some matrix rank theories, we derive equivalent conditions for reverse order law of weighted Moore-Penrose inverses of multiple matrix products.
Zhiping Xiong, Yingying Qin
semanticscholar +1 more source
A matrix approach to determine optimal predictors in a constrained linear mixed model
Open MathematicsFor a general vector of all unknown vectors in a constrained linear mixed model (CLMM), this study compared the dispersion matrices of the best linear unbiased predictors with any symmetric matrix for determining the optimality of predictors among others.
Güler Nesrin, Büyükkaya Melek Eriş
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The algebraic size of the family of injective operators
Open Mathematics, 2017 In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every separable infinite dimensional Banach
Bernal-González Luis
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Maximum nullity and zero forcing of circulant graphs
Special Matrices, 2020 The zero forcing number of a graph has been applied to communication complexity, electrical power grid monitoring, and some inverse eigenvalue problems.
Duong Linh +4 more
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Special Homomorphisms in R-Vector Spaces
, 2014 In this paper we introduce the notion of special homomorphism in R-vector spaces and study its properties.We show that the set of all special homomorpisms form an R-vector space with suitable addition and scalar multiplication.Also we prove that SHom(V,W)
Litegebe Wondie +2 more
semanticscholar +1 more source
Integrable discrete nets in Grassmannians
, 2008 We consider discrete nets in Grassmannians $\mathbb{G}^d_r$ which generalize Q-nets (maps $\mathbb{Z}^N\to\mathbb{P}^d$ with planar elementary quadrilaterals) and Darboux nets ($\mathbb{P}^d$-valued maps defined on the edges of $\mathbb{Z}^N$ such that ...
A. Doliwa +10 more
core +1 more source
Classical adjoint commuting mappings on alternate matrices and skew-Hermitian matrices
, 2014 Let n be an even integer with n 4 . In this note we study classical adjoint commuting mappings ψ on the space of n×n alternate matrices, and on the space of n×n skew-Hermitian matrices with respect to a proper involution, satisfying one of the following ...
W. L. Chooi, W. S. Ng
semanticscholar +1 more source
Topological entropy for locally linearly compact vector spaces and field extensions
Topological Algebra and its Applications, 2020 Let 𝕂 be a discrete field and (V, ϕ) a pair consisting of a locally linearly compact 𝕂-space V and a continuous endomorphism ϕ: V → V. We provide the formulae to compute the topological entropy ent* of the flow (V, ϕ) subject to either extension or ...
Castellano Ilaria
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SIMPLEXES AND THEIR APPLICATIONS - A SHORT SURVEY
, 2013 We investigate different types of simplexes (linear algebraic, affine, geometric), solve some extremal problems and state general conjectures concerning these notions in discrete geo- metry and matroid theory, finally present some applications in ...
Azs Szalkai, Istv, R. February
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