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A maximum \(L_p\) distance problem

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Publication:1378646
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DOI10.1006/jmaa.1997.5748zbMath0894.90098OpenAlexW43370362MaRDI QIDQ1378646

Emanuel Melachrinoudis, Zaharias Xanthopulos

Publication date: 13 September 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.1997.5748

zbMATH Keywords

subdivision procedureenveloping proceduregeneralized \(L_p\) normnonlinear and nonconvex problem


Mathematics Subject Classification ID

Continuous location (90B85) Nonlinear programming (90C30)


Related Items

The geometry of Minkowski spaces -- a survey. II.



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
  • An analytical solution to the minimum \(L_ p\)-norm of a hyperplane
  • The Minisum and Minimax Location Problems Revisited
  • Mathematical Models of Road Travel Distances
  • Finding the nearest point in A polytope
  • Technical Note—Algorithms for Weber Facility Location in the Presence of Forbidden Regions and/or Barriers to Travel
  • Finding the Point of a Polyhedron Closest to the Origin
  • Modelling Inter-city Road Distances by Mathematical Functions
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