Results 1 to 10 of about 203,139 (278)
Smoothness Parameter of Power of Euclidean Norm. [PDF]
J Optim Theory Appl, 2020 In this paper, we study derivatives of powers of Euclidean norm. We prove their H\"older continuity and establish explicit expressions for the corresponding constants.
Rodomanov A, Nesterov Y.
europepmc +7 more sources
On Euclidean Norm Approximations [PDF]
Pattern Recognition, 2010 Euclidean norm calculations arise frequently in scientific and engineering applications. Several approximations for this norm with differing complexity and accuracy have been proposed in the literature.
Celebi, M. Emre +2 more
core +4 more sources
Norm-Euclidean Galois fields [PDF]
, 2010 Let K be a Galois number field of prime degree $\ell$. Heilbronn showed that for a given $\ell$ there are only finitely many such fields that are norm-Euclidean.
McGown, Kevin J.
core +3 more sources
On a minimal complex norm that extends the real euclidean norm
Monatshefte Fur Mathematik, 1988 The authors construct a complex norm \(N^*\) that extends the real euclidean norm and prove that it is the smallest complex norm in the following sense: If N is any complex norm in \({\mathbb{C}}^ n\) which coincides with the real euclidean norm \(| \cdot |\) in \({\mathbb{R}}^ n\) and N(z)\(\leq | z|\) for \(z\in {\mathbb{C}}^ n\), then \(N^*(z)\leq N(
Peter Pflug
exaly +3 more sources
Zone Diagrams in Euclidean Spaces and in Other Normed Spaces [PDF]
Proceedings of the twenty-sixth annual symposium on Computational geometry, 2009 Zone diagram is a variation on the classical concept of a Voronoi diagram. Given n sites in a metric space that compete for territory, the zone diagram is an equilibrium state in the competition.
A. Okabe +10 more
core +4 more sources
Norm Euclidean Quaternionic Orders
Integers, 2012 Abstract.We determine the norm Euclidean orders in a positive definite quaternion algebra ...
exaly +4 more sources
Presenting a data envelopment analysis model based on Goal programming and weight Restriction in order to evaluate the efficiency and ranking of decision-making units in Ghavamin Bank [PDF]
مدیریت صنعتی, 2021 Objective: The purpose of this paper is to evaluate the efficiency of decision-making units using the goal programming model of data envelopment analysis with restriction weight and ranking of units with a unique method in Ghavamin Bank. Methods: In this
Gholamreza Panahandeh Khojin +2 more
doaj +1 more source
On sparse approximations of solutions to linear systems with orthogonal matrices
Вестник Самарского университета: Естественнонаучная серия, 2023 This article discusses a model for obtaining a sparse representation of a signal vector in ℝk, based on a system of linear equations with an orthogonal matrix.
Andrei V. Kiptenko, Ilia M. Izbiakov
doaj +1 more source
Chebyshev Approximations by Least Squares Method
Известия Иркутского государственного университета: Серия "Математика", 2020 We consider the problem of linear approximation in the form of the minimization problem of the weighted Chebyshev norm, and that in the form of the minimization problem of the weighted Euclidean norm of the residual vector.
V.I. Zorkaltsev, E. V. Gubiy
doaj +1 more source
Dynamic time warping under translation: Approximation guided by space-filling curves
Journal of Computational Geometry, 2023 The Dynamic Time Warping (DTW) distance is a popular measure of similarity for a variety of sequence data. For comparing polygonal curves $\pi, \sigma$ in $\mathbb{R}^d$, it provides a robust, outlier-insensitive alternative to the Fréchet distance ...
Karl Bringmann +4 more
doaj +1 more source