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Preprints, Working Papers, ... Year : 2019

Bisection based algorithm for linear program.

Abstract

Thank to Chubanov algorithm, there is today a strongly polynomial time algorithm to solve linear feasibility problem. In this paper, we offer an algorithm for generic linear program based on bisection space using Chubanov algorithm as routine. The complexity of the algorithm is not established but is linked to geometric statements.
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Dates and 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)

Identifiers

  • HAL Id : hal-00722920 , version 9

Cite

Adrien Chan-Hon-Tong. Bisection based algorithm for linear program.. 2019. ⟨hal-00722920v9⟩
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