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A Convergent Generalized Krylov Subspace Method for Compressed Sensing MRI Reconstruction with Gradient-Driven Denoisers. [PDF]
Hong T, Villa U, Fessler JA.
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On the conservation of energy: Noether's theorem revisited. [PDF]
Chavas JP.
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Treatment of class II malocclusion and ectopic maxillary canines: A case report. [PDF]
Alomair D +3 more
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Invexity and generalized convexity
Optimization, 1991Let f be a real differentiate function defined on the open subset A of R n;f is said to be invex if the following inequality is satisfied for a suitable function η The purpose of this paper is to investigate the relationship between invexity and generalized convexity; moreover, we shall give necessary and sufficient conditions for a differentiable ...
Rita Pini
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Generalized Rectangular Convexity
Acta Mathematica Sinica, English Series, 2023In this paper, the authors investigate two particular convexities, namely the \(tr\)-convexity and the rectangular biconvexity in Euclidean spaces. The authors investigate another generalization of rectangular convexity, by taking the family of all thin rectangles, thus obtaining the thin rectangular convexity and name it as \(tr\)-convex sets.
Yuan, Li Ping, Zamfirescu, Tudor
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Journal of Optimization Theory and Applications, 2000
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MASTROENI, GIANDOMENICO, Rapcsak T.
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MASTROENI, GIANDOMENICO, Rapcsak T.
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Generalized Convex Disjunctive Programming: Nonlinear Convex Hull Relaxation
Computational Optimization and Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grossmann, Ignacio E., Lee, Sangbum
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Israel Journal of Mathematics, 1964
The notion of the convex kernel of a setD is generalized to that of then-th order kernel ofD. Such kernels are studied for compact, simply connected subsets of the Euclidean plane. In particular, it is shown that under certain circumstances [see Theorem 4 and also section 5], these kernels have rather simple structures.
Bruckner, A. M., Bruckner, J. B.
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The notion of the convex kernel of a setD is generalized to that of then-th order kernel ofD. Such kernels are studied for compact, simply connected subsets of the Euclidean plane. In particular, it is shown that under certain circumstances [see Theorem 4 and also section 5], these kernels have rather simple structures.
Bruckner, A. M., Bruckner, J. B.
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Generalized convexity and generalized monotonocity
Journal of Information and Optimization Sciences, 1999Abstract General definitions of monotonocity, quasimonotonocity, pseudomonotonocity and strong monotonocity of a vector valued function defined on a subset of an n-dimensional Euclidean space are given. Some properties and characterizations are studied in the genera] setting.
Rita Pini, Chanchal Singh
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