A O ( n ) algorithm for projecting a vector on the intersection of a hyperplane and R + n

Nelson Maculan; Michel Minoux; Gérard Plateau

RAIRO - Operations Research - Recherche Opérationnelle (1997)

  • Volume: 31, Issue: 1, page 7-16
  • ISSN: 0399-0559

How to cite

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Maculan, Nelson, Minoux, Michel, and Plateau, Gérard. "A $O(n)$ algorithm for projecting a vector on the intersection of a hyperplane and $R^n_+$." RAIRO - Operations Research - Recherche Opérationnelle 31.1 (1997): 7-16. <http://eudml.org/doc/105143>.

@article{Maculan1997,
author = {Maculan, Nelson, Minoux, Michel, Plateau, Gérard},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {projection of a vector; computational linear algebra; subgradient methods; linear-time median-finding algorithm},
language = {eng},
number = {1},
pages = {7-16},
publisher = {EDP-Sciences},
title = {A $O(n)$ algorithm for projecting a vector on the intersection of a hyperplane and $R^n_+$},
url = {http://eudml.org/doc/105143},
volume = {31},
year = {1997},
}

TY - JOUR
AU - Maculan, Nelson
AU - Minoux, Michel
AU - Plateau, Gérard
TI - A $O(n)$ algorithm for projecting a vector on the intersection of a hyperplane and $R^n_+$
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1997
PB - EDP-Sciences
VL - 31
IS - 1
SP - 7
EP - 16
LA - eng
KW - projection of a vector; computational linear algebra; subgradient methods; linear-time median-finding algorithm
UR - http://eudml.org/doc/105143
ER -

References

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  1. 1. A. V. AHO, J. E. HOPCROFT and J. D. ULLMAN, The Design and Analysis of Computer Algorithms. Addison-Wesley Publishing Company, 1974. Zbl0326.68005MR413592
  2. 2. C. MICHELOT, A Finite Algorithm for Finding the Projection of a Point onto the Canonical Simplex of Rn. Journal of Optimization Theory and Applications, 50 (1), 1986, pp. 195-200. Zbl0571.90074MR851135
  3. 3. M. MINOUX, Mathematical Programing. John Wiley and Sons, 1986. Zbl0602.90090MR868279
  4. 4. N. MACULAN and G. G. de PAULA Jr., A Linear-Time Median-Finding Algorithm for Projecting a Vector on the Simplex of Rn. Operations Research Letters, 8(4), 1989, pp. 219-222. Zbl0679.90054MR1013763

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