Title:

A locally-polynomial method for establishing the existence of a solution of a system of linear inequalities

Subtitle:

Raport Badawczy = Research Report ; RB/18/2017

Creator:

Szkatuła, Krzysztof ; Tretyakov, Antonina

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2017

Description:

11 pages ; 21 cm ; Bibliography p. 10-11

Subject and Keywords:

Linear programming ; Programowanie liniowe ; Computational complexity ; Złożoność obliczeniowa ; System of linear inequalities ; Locally-polynomial algorithm ; Convergence rate ; Układ nierówności liniowych ; Algorytm lokalnie-wielomianowy ; Szybkość zbieżności

Abstract:

The paper proposes a method for solving systems of linear inequalities. This method establishes in finite number of iterations if a given system of linear inequali ties has a solution. If it does, the solution for the given system of linear inequalities is provided. The computational complexity of the proposed method is locally-polynomial and in the worst case it has a geometric convergence rate.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2017-18

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open