Comparison of the ellipsoid and simplex methods

The ellipsoid method is presented. The least squers functional of the basic solution linear constrains is used as ellipsoid. The Klee-Minty linear programming problem is used to compare the ellipsoid and simplex methods.

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Bibliographic Details
Main Authors: Eligijus Laurinavičius, Danutė Raškinienė
Format: Article
Language:English
Published: Vilnius University Press 1999-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/35493
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author Eligijus Laurinavičius
Danutė Raškinienė
author_facet Eligijus Laurinavičius
Danutė Raškinienė
author_sort Eligijus Laurinavičius
collection DOAJ
description The ellipsoid method is presented. The least squers functional of the basic solution linear constrains is used as ellipsoid. The Klee-Minty linear programming problem is used to compare the ellipsoid and simplex methods.
format Article
id doaj-art-257dfb80c4a748a8b69033a373c29d0f
institution Kabale University
issn 0132-2818
2335-898X
language English
publishDate 1999-12-01
publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj-art-257dfb80c4a748a8b69033a373c29d0f2025-02-11T18:15:37ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X1999-12-0139III10.15388/LMD.1999.35493Comparison of the ellipsoid and simplex methodsEligijus Laurinavičius0Danutė Raškinienė1Lithuanian University of AgricultureLithuanian University of Agriculture The ellipsoid method is presented. The least squers functional of the basic solution linear constrains is used as ellipsoid. The Klee-Minty linear programming problem is used to compare the ellipsoid and simplex methods. https://www.zurnalai.vu.lt/LMR/article/view/35493
spellingShingle Eligijus Laurinavičius
Danutė Raškinienė
Comparison of the ellipsoid and simplex methods
Lietuvos Matematikos Rinkinys
title Comparison of the ellipsoid and simplex methods
title_full Comparison of the ellipsoid and simplex methods
title_fullStr Comparison of the ellipsoid and simplex methods
title_full_unstemmed Comparison of the ellipsoid and simplex methods
title_short Comparison of the ellipsoid and simplex methods
title_sort comparison of the ellipsoid and simplex methods
url https://www.zurnalai.vu.lt/LMR/article/view/35493
work_keys_str_mv AT eligijuslaurinavicius comparisonoftheellipsoidandsimplexmethods
AT danuteraskiniene comparisonoftheellipsoidandsimplexmethods