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Pré-Publication, Document De Travail Année : 2020

Solving linear feasibility in linear number of steps.

Résumé

This paper introduces an algorithms for linear feasibility which is deterministic, exact, and, with a linear complexity (in step - each step corresponding to solve a linear system). In addition, this algorithm has several features which should be explored. First, both the numbers of steps with high or low Newton increment are negligible. Then, this algorithm does not seem to be related to central path when extended to linear programming.
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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 32

Citer

Adrien Chan-Hon-Tong. Solving linear feasibility in linear number of steps.. 2020. ⟨hal-00722920v32⟩
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