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An analytical solution to the minimum \(L_ p\)-norm of a hyperplane

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Publication:1363554
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DOI10.1006/jmaa.1997.5453zbMath0883.90081OpenAlexW1985469991MaRDI QIDQ1363554

Emanuel Melachrinoudis

Publication date: 4 March 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5453


zbMATH Keywords

minimum \(L_ p\)-norm of a hyperplane


Mathematics Subject Classification ID

Continuous location (90B85)


Related Items

A maximum \(L_p\) distance problem ⋮ Exact \(L_{2}\)-norm plane separation ⋮ Gauge distances and median hyperplanes



Cites Work

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  • An algorithm for finding the shortest element of a polyhedral set with application to Lagrangian duality
  • Finding the closest point to the origin in the convex hull of a discrete set of points
  • Two-Dimensional Voronoi Diagrams in the L p -Metric
  • Finding the nearest point in A polytope
  • General Considerations on the Use of the Weighted lp Norm as an Empirical Distance Measure
  • Finding the Point of a Polyhedron Closest to the Origin
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