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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 402, Pages 69–82 (Mi znsl5238)

This article is cited in 5 papers

Upper and lower bounds for Grigoriev's algorithm for solving integral tropical linear systems

A. P. Davydow

Academic University, St. Petersburg, Russia

Abstract: We investigate an algorithm for solving integral tropical linear systems proposed by D. Yu. Grigoriev in 2010, We give the first nonpolynominal lower bound on time complexity of the algorithm, and also improve known upper bound.

Key words and phrases: tropical lineear systems, Grigoriev's algorithm.

UDC: 519.612

Received: 03.09.2012


 English version:
Journal of Mathematical Sciences (New York), 2013, 192:3, 295–302

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