{"id":"https://openalex.org/W3024021908","doi":"https://doi.org/10.48550/arxiv.2005.06844","title":"An SQP method for equality constrained optimization on manifolds","display_name":"An SQP method for equality constrained optimization on manifolds","publication_year":2020,"publication_date":"2020-05-14","ids":{"openalex":"https://openalex.org/W3024021908","doi":"https://doi.org/10.48550/arxiv.2005.06844","mag":"3024021908"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2005.06844","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.06844","pdf_url":"https://arxiv.org/pdf/2005.06844","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2005.06844","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040824080","display_name":"Anton Schiela","orcid":"https://orcid.org/0000-0002-6959-2951","observed_orcids":["https://orcid.org/0000-0002-6959-2951"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Schiela, Anton","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5090941614","display_name":"Juli\u00e1n Ortiz","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ortiz, Julian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.8978999853134155,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.8978999853134155,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.08799999952316284,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.008500000461935997,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"sequential quadratic programming","score":0.8629999756813049},{"id":"https://openalex.org/keywords/equality-constrained-optimization","display_name":"equality constrained optimization","score":0.9739999771118164},{"id":"https://openalex.org/keywords/smooth-manifolds","display_name":"smooth manifolds","score":0.8560000061988831},{"id":"https://openalex.org/keywords/retraction","display_name":"retraction","score":0.8349999785423279},{"id":"https://openalex.org/keywords/stratification","display_name":"stratification","score":0.9729999899864197},{"id":"https://openalex.org/keywords/quadratic-convergence","display_name":"quadratic convergence","score":0.777999997138977},{"id":"https://openalex.org/keywords/cubic-regularization","display_name":"cubic regularization","score":0.8169999718666077},{"id":"https://openalex.org/keywords/feasibility","display_name":"feasibility","score":0.4480000138282776},{"id":"https://openalex.org/keywords/equilibrium-problems","display_name":"equilibrium problems","score":0.7369999885559082},{"id":"https://openalex.org/keywords/finite-elasticity","display_name":"finite elasticity","score":0.7829999923706055},{"id":"https://openalex.org/keywords/dead-load","display_name":"dead load","score":0.7929999828338623}],"concepts":[{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.8842566013336182},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5455412864685059},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45420995354652405},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34227627515792847},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3347346782684326},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.28268927335739136}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2005.06844","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.06844","pdf_url":"https://arxiv.org/pdf/2005.06844","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2005.06844","doi":"https://doi.org/10.48550/arxiv.2005.06844","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2005.06844","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2005.06844","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.06844","pdf_url":"https://arxiv.org/pdf/2005.06844","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W2572016","https://openalex.org/W56295171","https://openalex.org/W157435084","https://openalex.org/W307546875","https://openalex.org/W936644666","https://openalex.org/W1547403762","https://openalex.org/W1553707579","https://openalex.org/W1592141884","https://openalex.org/W1804110266","https://openalex.org/W1978913015","https://openalex.org/W1983496390","https://openalex.org/W1995506626","https://openalex.org/W2015660465","https://openalex.org/W2019798593","https://openalex.org/W2030317647","https://openalex.org/W2033736734","https://openalex.org/W2033758151","https://openalex.org/W2060701814","https://openalex.org/W2077995179","https://openalex.org/W2079354271","https://openalex.org/W2084966478","https://openalex.org/W2098486535","https://openalex.org/W2156005216","https://openalex.org/W2160193658","https://openalex.org/W2162211921","https://openalex.org/W2527781137","https://openalex.org/W2797479470","https://openalex.org/W2804171357","https://openalex.org/W2963207505","https://openalex.org/W2963704853","https://openalex.org/W3029645440","https://openalex.org/W3102383992","https://openalex.org/W3103454330","https://openalex.org/W3133583790"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1495847109","https://openalex.org/W4294686972","https://openalex.org/W2028377227","https://openalex.org/W2376069748","https://openalex.org/W2610571865","https://openalex.org/W2092346180","https://openalex.org/W2014601121","https://openalex.org/W2006631399"],"abstract_inverted_index":{"We":[0,34,67,77],"extend":[1],"the":[2,12,28,56,88],"class":[3],"of":[4,14,19,55,74,92],"SQP":[5],"methods":[6],"for":[7,49,65],"equality":[8],"constrained":[9],"optimization":[10],"to":[11,25,31,39,70],"setting":[13],"differentiable":[15],"manifolds.":[16],"The":[17],"use":[18],"retractions":[20],"and":[21,59],"stratifications":[22],"allows":[23],"us":[24],"pull":[26],"back":[27],"involved":[29],"mappings":[30],"linear":[32],"spaces.":[33],"study":[35],"local":[36,72],"quadratic":[37],"convergence":[38,73],"minimizers.":[40],"In":[41],"addition":[42],"we":[43],"present":[44],"a":[45],"composite":[46],"step":[47],"method":[48,64,80],"globalization":[50],"based":[51],"on":[52,81],"cubic":[53],"regularization":[54],"objective":[57],"function":[58],"affine":[60],"covariant":[61],"damped":[62],"Newton":[63],"feasibility.":[66],"show":[68],"transition":[69],"fast":[71],"this":[75],"scheme.":[76],"test":[78],"our":[79],"equilibrium":[82,90],"problems":[83],"in":[84],"finite":[85],"elasticity":[86],"where":[87],"stable":[89],"position":[91],"an":[93],"inextensible":[94],"transversely":[95],"isotropic":[96],"elastic":[97],"rod":[98],"under":[99],"dead":[100],"load":[101],"is":[102],"sought.":[103]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}