https://m2.mtmt.hu/ hun 2026-05-01 11:58 JournalArticle 2206850 ADMIN_APPROVED true 0 2015-05-13T09:53:06.000+0000 false 2206850 2026-04-29T04:44:59.351+0000 2019-10-05T18:39:42.472+0000 2012-10-01T11:05:00.000+0000 true 10019713 Bachrathy Dániel /api/author/10019713 Author true 10019713 2025-05-22T09:57:27.824+0000 2025-05-22T09:57:27.824+0000 2019-10-05T18:39:42.487+0000 true 10049401 Fülöp Tamás /api/admin/10049401 Admin true 10049401 true false true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType 101 true 10000059 true 1 /api/category/1 Category true 1 Bachrathy, Dániel Bisection method in higher dimensions and the efficiency number true true /api/journal/1028708 REVIEWED true true 1028708 false 1028708 true 0324-6051 1587-379X Journal FOREIGN 56 2 81 86 81 6 2012 Several engineering applications need a robust method to find all the roots of a set of nonlinear equations automatically. The proposed method guarantees monotonous convergence, and it can determine whole submanifolds of the roots if the number of unknowns is larger than the number of equations. The critical steps of the multidimensional bisection method are described and possible solutions are proposed. An ecient computational scheme is introduced. The eciency of the method is charac-terized by the box-counting fractal dimension of the evaluated points. The multidimensional bisection method is much more ef-ficient than the brute force method. The proposed method can also be used to determine the fractal dimension of the submani-fold of the solutions with satisfactory accuracy. true 2012 csernak (Szmolyán Mária (BME admin5); 2013.02.11. 15:16:54) false true true false true false GOLD 2026-04-29 true https://doi.org/10.3311/pp.me.2012-2.01 true 10019713 Bachrathy Dániel /api/author/10019713 Author true 10019713 82 14 82 38 52 76 77 78 68 82 82 38 38 38 44 0 82 38 82 38 0 1 1 Folyóiratcikk Journal Article 24 61 Könyvrészlet Chapter in Book 25 18 Könyv Book 23 0 Egyéb konferenciaközlemény Conference paper 31 3 Egyéb konferenciakötet Conference proceedings 32 0 Oltalmi formák Protection forms 26 0 Disszertáció Thesis 28 0 Egyéb Miscellaneous 29 0 Alkotás Achievement 22 0 Kutatási adat Research data 33 0 Folyóiratcikk Journal Article 24 0 0 0 Könyvrészlet Chapter in Book 25 0 0 0 Könyv Book 23 0 0 0 Egyéb konferenciaközlemény Conference paper 31 0 0 0 Egyéb konferenciakötet Conference proceedings 32 0 0 0 Oltalmi formák Protection forms 26 0 0 0 Disszertáció Thesis 28 0 0 0 Egyéb Miscellaneous 29 0 0 0 Alkotás Achievement 22 0 0 0 Kutatási adat Research data 33 0 0 0 2013 0 2 0 2 0 2014 0 7 1 7 1 2015 0 6 4 6 4 2016 0 11 1 11 1 2017 0 12 5 12 5 2018 0 4 1 4 1 2019 0 6 1 6 1 2020 0 12 7 12 7 2021 0 7 6 7 6 2022 0 5 4 5 4 2023 0 7 5 7 5 2024 0 1 1 1 1 2025 0 1 1 1 1 2026 0 1 1 1 1 Q4 false 10019713 false false false 2015-05-13T09:53:06.000+0000 2013-02-11T16:03:46.000+0000 MTA-BME Gépek és Járművek Dinamikája Kutatócsoport (BME / GPK / MM); Műszaki Mechanikai Tanszék (BME / GPK) 2 12 2 2 0 false Language 10002 /api/language/10002 Angol English true 2 true PersonAuthorship 3694883 /api/authorship/3694883 1 0.5 true false Author 10019713 /api/author/10019713 Bachrathy Dániel true 10019713 true Bachrathy Dániel true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false 17053689 true PersonAuthorship 3694884 /api/authorship/3694884 2 0.5 false true Author 10000019 /api/author/10000019 Stépán Gábor true 10000019 true Stépán Gábor true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false 17053688 true PublicationIdentifier 632834 /api/publicationidentifier/632834 PlainSource 6 /api/publicationsource/6 PublicationSourceType 10001 /api/publicationsourcetype/10001 true true true DOI DOI https://doi.org/@@@ true true 6 true GOLD true IDENTICAL 10.3311/pp.me.2012-2.01 https://doi.org/10.3311/pp.me.2012-2.01 false 400714 true PublicationIdentifier 632833 /api/publicationidentifier/632833 PlainSource 3 /api/publicationsource/3 PublicationSourceType 10003 /api/publicationsourcetype/10003 false true true Scopus Scopus http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@ true true 3 true false IDENTICAL 84874981783 http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874981783 false 400715 true PublicationIdentifier 632837 /api/publicationidentifier/632837 PlainSource 39 /api/publicationsource/39 PublicationSourceType 10006 /api/publicationsourcetype/10006 true true true Teljes dokumentum Full text @@@ true true 39 true false IDENTICAL https://pp.bme.hu/me/article/view/1236/640 https://pp.bme.hu/me/article/view/1236/640 false 400716 true PublicationIdentifier 632838 /api/publicationidentifier/632838 PlainSource 40 /api/publicationsource/40 PublicationSourceType 10006 /api/publicationsourcetype/10006 true true true Egyéb URL Other URL @@@ true true 40 true false IDENTICAL http://www.pp.bme.hu/me/article/view/1236 http://www.pp.bme.hu/me/article/view/1236 false 400717 true PublicationIdentifier 632835 /api/publicationidentifier/632835 PlainSource 12 /api/publicationsource/12 PublicationSourceType 10003 /api/publicationsourcetype/10003 false true true Google scholar http://scholar.Google.com/scholar?hl=en&lr=&cluster=@@@ true true 12 true false NO 16211201373355588915 http://scholar.Google.com/scholar?hl=en&lr=&cluster=16211201373355588915 false 502461 true PublicationIdentifier 632836 /api/publicationidentifier/632836 PlainSource 13 /api/publicationsource/13 PublicationSourceType 10003 /api/publicationsourcetype/10003 false true true Google scholar hash Google scholar hash http://scholar.Google.com/scholar?hl=en&lr=&cluster=@@@ true true 13 true false NO Mz0vKcLB-eAJ http://scholar.Google.com/scholar?hl=en&lr=&cluster=Mz0vKcLB-eAJ false 910161 true Classification 10984 /api/classification/10984 true true SjrRating 5654285 /api/sjrrating/5654285 445 1.0 journal RatingType 10002 /api/ratingtype/10002 sjr true true ClassificationExternal 2210 /api/classificationexternal/2210 true 2210 true Q4 DIRECT true 5654285 true /api/publication/2206850 <div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10019713"><a href="/gui2/?type=authors&mode=browse&sel=10019713" target="_blank">Bachrathy Dániel (<span class="authorship-author-name">Bachrathy Dániel</span> <span class="authorAux-mtmt"> műszaki mechanika</span>) </a> </span> <span class="author-affil"><span title="Budapesti Műszaki és Gazdaságtudományi Egyetem">BME</span>/<span title="Gépészmérnöki Kar">GPK</span>/<span title="Műszaki Mechanikai Tanszék">MM</span>/MTA-BME Gépek és Járművek Dinamikája Kutatócsoport</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10000019"><a href="/gui2/?type=authors&mode=browse&sel=10000019" target="_blank">Stépán Gábor (<span class="authorship-author-name">Stépán Gábor</span> <span class="authorAux-mtmt"> mechanika</span>) </a> </span> <span class="author-affil"><span title="Budapesti Műszaki és Gazdaságtudományi Egyetem">BME</span>/<span title="Gépészmérnöki Kar">GPK</span>/Műszaki Mechanikai Tanszék</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;2206850" target="_blank">Bisection method in higher dimensions and the efficiency number</a></div> <div> <span class="journal-title">PERIODICA POLYTECHNICA-MECHANICAL ENGINEERING</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0324-6051">0324-6051</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1587-379X">1587-379X</a>)</span>: <span class="journal-volume">56</span> <span class="journal-issue">2</span> <span class="page"> pp 81-86 </span> <span class="year">(2012)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_GOLD" title=" Gold "> <a style="color:blue" title="10.3311/pp.me.2012-2.01" target="_blank" href="https://doi.org/10.3311/pp.me.2012-2.01"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="84874981783" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874981783"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="https://pp.bme.hu/me/article/view/1236/640" target="_blank" href="https://pp.bme.hu/me/article/view/1236/640"> Teljes dokumentum </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="http://www.pp.bme.hu/me/article/view/1236" target="_blank" href="http://www.pp.bme.hu/me/article/view/1236"> Egyéb URL </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="16211201373355588915" target="_blank" href="http://scholar.Google.com/scholar?hl=en&lr=&cluster=16211201373355588915"> Google scholar </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="Mz0vKcLB-eAJ" target="_blank" href="http://scholar.Google.com/scholar?hl=en&lr=&cluster=Mz0vKcLB-eAJ"> Google scholar hash </a> </span> </span> <OnlyViewableByAuthor><div class="ratings"> <div class="journal-subject">Folyóirat szakterülete: Scopus - Mechanical Engineering&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q4</div> </div></OnlyViewableByAuthor> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 82</span> | Független: 38 | Függő: 44 | Nem jelölt: 0 | WoS jelölt: 78 | Scopus jelölt:&nbsp;68 | WoS/Scopus jelölt:&nbsp;82 | DOI jelölt:&nbsp;77 (Nem nyilvános:&nbsp;14) </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;2206850&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 1 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 2206850</span> | <span class="status-data status-ADMIN_APPROVED"> Admin láttamozott </span> <span class="oldId">Régi azonosító: 2206850</span> | Forrás Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">kézi felvitel</span> </div> <div class="lastModified">Utolsó módosítás: 2019.10.05. 20:39 Fülöp Tamás (BME GPK admin5) </div> </div></div>