{"id":"https://openalex.org/W2118819818","doi":"https://doi.org/10.1007/s13675-015-0056-5","title":"A modification of the <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\"> <mml:mrow> <mml:mi mathvariant=\"italic\">\u03b1</mml:mi> <mml:mtext>BB</mml:mtext> </mml:mrow> </mml:math> method for box-constrained optimization and an application to inverse kinematics","display_name":"A modification of the <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\"> <mml:mrow> <mml:mi mathvariant=\"italic\">\u03b1</mml:mi> <mml:mtext>BB</mml:mtext> </mml:mrow> </mml:math> method for box-constrained optimization and an application to inverse kinematics","publication_year":2015,"publication_date":"2015-11-17","ids":{"openalex":"https://openalex.org/W2118819818","doi":"https://doi.org/10.1007/s13675-015-0056-5","mag":"2118819818"},"language":"lv","primary_location":{"id":"doi:10.1007/s13675-015-0056-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-015-0056-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1007/s13675-015-0056-5","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020142332","display_name":"Gabriele Eichfelder","orcid":"https://orcid.org/0000-0002-1938-6316"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Gabriele Eichfelder","raw_affiliation_strings":["Institute for Mathematics, Technische Universit\u00e4t Ilmenau, PO Box 10 05 65, 98684, Ilmenau, Germany","Institute for Mathematics, Technische Universit\u00e4t Ilmenau, Ilmenau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics, Technische Universit\u00e4t Ilmenau, PO Box 10 05 65, 98684, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]},{"raw_affiliation_string":"Institute for Mathematics, Technische Universit\u00e4t Ilmenau, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026185205","display_name":"Tobias Gerlach","orcid":"https://orcid.org/0000-0002-5074-5284"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tobias Gerlach","raw_affiliation_strings":["Institute for Mathematics, Technische Universit\u00e4t Ilmenau, PO Box 10 05 65, 98684, Ilmenau, Germany","Institute for Mathematics, Technische Universit\u00e4t Ilmenau, Ilmenau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics, Technische Universit\u00e4t Ilmenau, PO Box 10 05 65, 98684, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]},{"raw_affiliation_string":"Institute for Mathematics, Technische Universit\u00e4t Ilmenau, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013462976","display_name":"Susanne Sumi","orcid":null},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Susanne Sumi","raw_affiliation_strings":["Technical Mechanics Group, Technische Universit\u00e4t Ilmenau, PO Box 10 05 65, 98684, Ilmenau, Germany","Technical Mechanics Group Technische Universit\u00e4t Ilmenau Ilmenau Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical Mechanics Group, Technische Universit\u00e4t Ilmenau, PO Box 10 05 65, 98684, Ilmenau, Germany","institution_ids":[]},{"raw_affiliation_string":"Technical Mechanics Group Technische Universit\u00e4t Ilmenau Ilmenau Germany","institution_ids":["https://openalex.org/I119449181"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020142332"],"corresponding_institution_ids":["https://openalex.org/I119449181"],"apc_list":{"value":1400,"currency":"USD","value_usd":1400},"apc_paid":{"value":1400,"currency":"USD","value_usd":1400},"fwci":0.6679,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74231164,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":"1","first_page":"93","last_page":"121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6588383913040161},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.58534836769104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.544861912727356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5101642608642578},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4994180202484131},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4040970206260681},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38379329442977905}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6588383913040161},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.58534836769104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.544861912727356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5101642608642578},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4994180202484131},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4040970206260681},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38379329442977905},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s13675-015-0056-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-015-0056-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:eurjco:v:4:y:2016:i:1:d:10.1007_s13675-015-0056-5","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s13675-015-0056-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:dfdc2452d7354f9083c06681c39111ce","is_oa":true,"landing_page_url":"https://doaj.org/article/dfdc2452d7354f9083c06681c39111ce","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURO Journal on Computational Optimization, Vol 4, Iss 1, Pp 93-121 (2016)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s13675-015-0056-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13675-015-0056-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210171502","display_name":"EURO Journal on Computational Optimization","issn_l":"2192-4406","issn":["2192-4406","2192-4414"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURO Journal on Computational Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W87099160","https://openalex.org/W123447461","https://openalex.org/W143150492","https://openalex.org/W178772886","https://openalex.org/W1507872748","https://openalex.org/W1518139620","https://openalex.org/W1582353822","https://openalex.org/W1601423034","https://openalex.org/W1700341043","https://openalex.org/W1965293593","https://openalex.org/W1981009968","https://openalex.org/W1984425167","https://openalex.org/W1988622494","https://openalex.org/W1994143266","https://openalex.org/W1995275323","https://openalex.org/W1999932364","https://openalex.org/W2025836705","https://openalex.org/W2029292832","https://openalex.org/W2032704525","https://openalex.org/W2038254351","https://openalex.org/W2046526480","https://openalex.org/W2048801726","https://openalex.org/W2048881327","https://openalex.org/W2055325291","https://openalex.org/W2056371558","https://openalex.org/W2061143109","https://openalex.org/W2066129260","https://openalex.org/W2067120253","https://openalex.org/W2074372644","https://openalex.org/W2094654075","https://openalex.org/W2117458460","https://openalex.org/W2124548165","https://openalex.org/W2141840573","https://openalex.org/W2144180603","https://openalex.org/W2145088232","https://openalex.org/W2894871027","https://openalex.org/W2906824576","https://openalex.org/W3103224104","https://openalex.org/W3146520007","https://openalex.org/W6607377827"],"related_works":["https://openalex.org/W3008339103","https://openalex.org/W2404647514","https://openalex.org/W1667647204","https://openalex.org/W4247536566","https://openalex.org/W3119814709","https://openalex.org/W2018477250","https://openalex.org/W1508895727","https://openalex.org/W4241418540","https://openalex.org/W2725786787","https://openalex.org/W4283160672"],"abstract_inverted_index":{"For":[0],"many":[1],"practical":[2],"applications":[3],"it":[4,90],"is":[5],"important":[6],"to":[7,94],"determine":[8],"not":[9],"only":[10],"a":[11,17,28,50,55,77,106,115],"numerical":[12],"approximation":[13,97],"of":[14,19,23,27,35,67,98,101,122],"one":[15,33],"but":[16],"representation":[18,37],"the":[20,65,84,99,111,118],"whole":[21],"set":[22,100],"globally":[24,102],"optimal":[25,103],"solutions":[26,104],"non-convex":[29],"optimization":[30,80],"problem.":[31,81],"Then":[32],"element":[34],"this":[36],"may":[38],"be":[39,47,74,92],"chosen":[40],"based":[41],"on":[42],"additional":[43],"information":[44],"which":[45],"cannot":[46],"formulated":[48],"as":[49,76],"mathematical":[51],"function":[52],"or":[53],"within":[54],"hierarchical":[56],"problem":[57,72],"formulation.":[58],"We":[59,82,109],"present":[60],"such":[61,88],"an":[62,96],"application":[63,71],"in":[64],"field":[66],"robotic":[68],"design.":[69],"This":[70],"can":[73,91],"modeled":[75],"smooth":[78],"box-constrained":[79],"extend":[83],"well-known":[85],"\u03b1BB":[86,125],"method":[87],"that":[89],"used":[93],"find":[95],"with":[105],"predefined":[107],"quality.":[108],"illustrate":[110],"properties":[112],"and":[113,120],"give":[114],"proof":[116],"for":[117],"finiteness":[119],"correctness":[121],"our":[123],"modified":[124],"method.":[126]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}