Results 11 to 20 of about 727,489 (238)
Continuities of Metric Projection and GeometricConsequences [PDF]
Journal of Approximation Theory, 1997 This paper characterizes geometric structures (convexity, tabularity, and polyhedral structure) of a subset \(K\) of a normed linear space via different continuity conditions on the metric projection onto \(K\). In finite-dimensional spaces with the uniform norm, it is shown that convexity is equivalent to rotation-invariant almost convexity.
Huotari, Robert, Li, Wu
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Journal of Function Spaces, 2017 In this paper, continuous homogeneous selection and continuity for the set-valued metric generalized inverses T∂ in 3-strictly convex spaces are investigated by continuity of metric projection. The results are an answer to the problem posed by Nashed and
Shaoqiang Shang, Jingxin Zhang
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On a convex set with nondifferentiable metric projection [PDF]
Optimization Letters, 2015 A remarkable example of a nonempty closed convex set in the Euclidean plane for which the directional derivative of the metric projection mapping fails to exist was constructed by A. Shapiro. In this paper, we revisit and modify that construction to obtain a convex set with smooth boundary which possesses the same property.
Shyan S. Akmal +2 more
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The Representation and Continuity of a Generalized Metric Projection onto a Closed Hyperplane in Banach Spaces [PDF]
Abstract and Applied Analysis, 2013 Let be a closed bounded convex subset of a real Banach space with as its interior and the Minkowski functional generated by the set . For a nonempty set in and , is called the generalized best approximation to from if for all . In this paper,
XianFa Luo, JianYong Wang
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A Unified View of Adaptive Variable-Metric Projection Algorithms [PDF]
EURASIP Journal on Advances in Signal Processing, 2009 We present a unified analytic tool named variable-metric adaptive projected subgradient method (V-APSM) that encompasses the important family of adaptive variable-metric projection algorithms. The family includes the transform-domain adaptive filter, the
Masahiro Yukawa, Isao Yamada
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Models of IT Projects KPIs and Metrics [PDF]
2018 IEEE Second International Conference on Data Stream Mining & Processing (DSMP), 2018 Models of key performance indicators (KPI) and methods for their measurement based on metrics for IT projects are proposed for consideration. Advantages and disadvantages of different KPIs and their applicability for various projects, as well as project implementation methodologies, are analyzed. A comprehensive KPI and metrics model is proposed for IT
Volodymyr Ostakhov +2 more
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Metric projection for dynamic multiplex networks
Heliyon, 2016 Evolving multiplex networks are a powerful model for representing the dynamics along time of different phenomena, such as social networks, power grids, biological pathways. However, exploring the structure of the multiplex network time series is still an
Giuseppe Jurman
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Optical metrics and projective equivalence [PDF]
Physical Review D, 2011 18 pages, two figures, final version, to appear in Physical Review ...
Casey, Stephen +3 more
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Journal of Approximation Theory, 1995 Let \(E\) denote a normed vector space, and \(M\hookrightarrow E\) a vector subspace. If \(P_M: E\to M\) denotes the metric projection, then trivially \(|P_M|\leq 2\). Moreover, \(|P_M|\leq 1\) for every vector subspace \(M\hookrightarrow E\) if and only if \(E\) is a pre-Hilbert space. In the paper under review, the authors establish that for a Banach
Mazzone, F., Cuenya, H.
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Projective compactifications and Einstein metrics [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2014 Abstract For complete affine manifolds we introduce a definition of compactification based on the projective differential geometry (i.e. geodesic path data) of the given connection. The definition of projective compactness involves a real parameter α called the order of projective compactness.
Cap, Andreas, Gover, A. Rod
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