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Linking linear feasibility and linear programming.

Résumé

This paper presents an algorithm based on strongly polynomial linear feasibility queries which solves linear programming. Despite that the complexity of the algorithm is not established, discussion shows the potential of the algorithm. In addition, some ideas are presented as potential ways to find if the algorithm is or is not a strongly polynomial time solver for linear programs.
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Dates et versions

hal-00722920 , version 1 (06-08-2012)
hal-00722920 , version 2 (04-09-2013)
hal-00722920 , version 3 (04-09-2013)
hal-00722920 , version 4 (11-09-2013)
hal-00722920 , version 5 (01-12-2013)
hal-00722920 , version 6 (26-12-2013)
hal-00722920 , version 7 (20-06-2015)
hal-00722920 , version 8 (12-09-2018)
hal-00722920 , version 9 (17-01-2019)
hal-00722920 , version 10 (07-02-2019)
hal-00722920 , version 11 (15-03-2019)
hal-00722920 , version 12 (25-03-2019)
hal-00722920 , version 13 (12-04-2019)
hal-00722920 , version 14 (28-04-2019)
hal-00722920 , version 15 (12-05-2019)
hal-00722920 , version 16 (05-07-2019)
hal-00722920 , version 17 (23-07-2019)
hal-00722920 , version 18 (16-08-2019)
hal-00722920 , version 19 (02-09-2019)
hal-00722920 , version 20 (07-10-2019)
hal-00722920 , version 21 (19-11-2019)
hal-00722920 , version 22 (20-11-2019)
hal-00722920 , version 23 (20-12-2019)
hal-00722920 , version 24 (11-01-2020)
hal-00722920 , version 25 (20-01-2020)
hal-00722920 , version 26 (02-02-2020)
hal-00722920 , version 27 (11-02-2020)
hal-00722920 , version 28 (26-03-2020)
hal-00722920 , version 29 (17-07-2020)
hal-00722920 , version 30 (05-08-2020)
hal-00722920 , version 31 (12-10-2020)
hal-00722920 , version 32 (14-12-2020)
hal-00722920 , version 33 (02-02-2021)
hal-00722920 , version 34 (03-05-2021)
hal-00722920 , version 35 (07-07-2021)
hal-00722920 , version 36 (19-12-2021)
hal-00722920 , version 37 (17-02-2022)
hal-00722920 , version 38 (16-01-2023)

Identifiants

  • HAL Id : hal-00722920 , version 17

Citer

Adrien Chan-Hon-Tong. Linking linear feasibility and linear programming.. 2019. ⟨hal-00722920v17⟩
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