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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 26, 1992 - Issue 1-2
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Original Articles

Computing the vector in the convex hull of a finite set of points having minimal length

Pages 15-26 | Published online: 20 Mar 2007

References

  • Bentley , J.L. , Kung , H.T. , Schkolnick , M. and Thompson , C.D. 1978 . On the average number of maxima in a set of vectors and applications . J. Assoc. Comput. Mach , 25 : 536 – 543 .
  • Chand , D.R. and Kapur , S.S. 1970 . An algorithm for convex polytopes . Journal of the Association for Computing Machinery , 17 ( 1 ) : 78 – 86 .
  • Clarke , F.H. 1989 . Optimization and Nonsmooth Analysis , Les publications CRM .
  • Dem’yanov , V.F. and Rubinov , A.M. 1986 . “ Quasidifferential Calculus; Optimization Software ” . Berlin Heidelberg, New York
  • Grünbaum , B. 1967 . Convex Polytopes , London : John Wiley & Sons . New York, Sidney
  • Kung , H.T. , Luccio , F. and Preparata , F.P. 1975 . On finding the maxima of a set of vectors . Journal of the Association for Computing Machinery , 22 ( 4 ) : 469 – 476 .
  • Swart , G. 1985 . Finding the Convex Hull Facet by Facet . Journal of Algorithms , 6 ( 4 ) : 17 – 48 .

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