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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Izvestiya MGTU MAMI</journal-id><journal-title-group><journal-title xml:lang="en">Izvestiya MGTU MAMI</journal-title><trans-title-group xml:lang="ru"><trans-title>Известия МГТУ “МАМИ“</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2074-0530</issn><issn publication-format="electronic">2949-1428</issn><publisher><publisher-name xml:lang="en">Moscow Polytechnic University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">67149</article-id><article-id pub-id-type="doi">10.17816/2074-0530-67149</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Analysis of variants of Cholesky method for solution of big sparse systems of linear algebraic equations</article-title><trans-title-group xml:lang="ru"><trans-title>Анализ вариантов метода Холесского для решения больших разреженных систем линейных алгебраических уравнений</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Azmetov</surname><given-names>Kh. Kh</given-names></name><name xml:lang="ru"><surname>Азметов</surname><given-names>Х. Х</given-names></name></name-alternatives><bio xml:lang="en"><p>PhD, associate prof.; 8(495)362-90-71</p></bio><bio xml:lang="ru"><p>к.т.н. доц.; 8(495)362-90-71</p></bio><email>hakim.azmetov@mail.ru</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Central Institute of Aviation Motors</institution></aff><aff><institution xml:lang="ru">ЦИАМ им. П.И. Баранова</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Bauman Moscow State Technical University</institution></aff><aff><institution xml:lang="ru">МГТУ им. Н.Э. Баумана</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2015-08-10" publication-format="electronic"><day>10</day><month>08</month><year>2015</year></pub-date><volume>9</volume><issue>3-4</issue><issue-title xml:lang="en">VOL 4, NO3 (2015)</issue-title><issue-title xml:lang="ru">ТОМ 9, №3 (2015)</issue-title><fpage>114</fpage><lpage>132</lpage><history><date date-type="received" iso-8601-date="2021-04-30"><day>30</day><month>04</month><year>2021</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2015, Azmetov K.K.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2015, Азметов Х.Х.</copyright-statement><copyright-year>2015</copyright-year><copyright-holder xml:lang="en">Azmetov K.K.</copyright-holder><copyright-holder xml:lang="ru">Азметов Х.Х.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc-nd/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.eco-vector.com/2074-0530/article/view/67149">https://journals.eco-vector.com/2074-0530/article/view/67149</self-uri><abstract xml:lang="en"><p>Algorithms of solution of big sparse systems of linear algebraic equations based on Cholesky technique is released in program complex of analysis of stress-strain condition under cyclic elastoplastic loading by finite element method. Comparison of memory and computational resource efficiency of algorithms is carried out.</p></abstract><trans-abstract xml:lang="ru"><p>В системе анализа напряженно-деформированного состояния при циклическом упругопластическом нагружении методом конечных элементов реализованы алгоритмы решения больших разреженных систем линейных алгебраических уравнений, основанные на методе Холесского. Проведено сравнение эффективности методов по использованию памяти и вычислительных ресурсов.</p></trans-abstract><kwd-group xml:lang="en"><kwd>FEM</kwd><kwd>SLAE</kwd><kwd>Cholesky method</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>метод конечных элементов</kwd><kwd>СЛАУ</kwd><kwd>метод Холесского</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Зенкевич О. Метод конечных элементов в технике. М.: Мир, 1975. 544 с.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Бате К.-Ю. Методы конечных элементов / Пер. с англ. 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