{"id":"https://openalex.org/W3110042095","doi":"https://doi.org/10.1007/s10915-022-01838-3","title":"Constrained High-Index Saddle Dynamics for the Solution Landscape with Equality Constraints","display_name":"Constrained High-Index Saddle Dynamics for the Solution Landscape with Equality Constraints","publication_year":2022,"publication_date":"2022-04-08","ids":{"openalex":"https://openalex.org/W3110042095","doi":"https://doi.org/10.1007/s10915-022-01838-3","mag":"3110042095"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-022-01838-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-01838-3","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"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":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2011.13173","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108127747","display_name":"Jianyuan Yin","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianyuan Yin","raw_affiliation_strings":["School of Mathematical Sciences, Peking University, Beijing, 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing, 100871, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100778503","display_name":"Zhen Huang","orcid":"https://orcid.org/0000-0002-1781-0080"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Huang","raw_affiliation_strings":["School of Mathematical Sciences, Peking University, Beijing, 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing, 100871, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100433861","display_name":"Lei Zhang","orcid":"https://orcid.org/0000-0001-9972-2051"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lei Zhang","raw_affiliation_strings":["Beijing International Center for Mathematical Research, Center for Quantitative Biology, Peking University, Beijing, 100871, China"],"raw_orcid":"https://orcid.org/0000-0001-9972-2051","affiliations":[{"raw_affiliation_string":"Beijing International Center for Mathematical Research, Center for Quantitative Biology, Peking University, Beijing, 100871, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100433861"],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.469,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.89349603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"91","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9979000091552734,"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/saddle-point","display_name":"Saddle point","score":0.7631543278694153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7400529384613037},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5539266467094421},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.5365692377090454},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5007944107055664},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5000736713409424},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4833538234233856},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.4488329589366913},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43844422698020935},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16621971130371094},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15101870894432068}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7631543278694153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7400529384613037},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5539266467094421},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5365692377090454},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5007944107055664},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5000736713409424},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4833538234233856},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.4488329589366913},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43844422698020935},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16621971130371094},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15101870894432068},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-022-01838-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-01838-3","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2011.13173","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.13173","pdf_url":"https://arxiv.org/pdf/2011.13173","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,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2011.13173","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.13173","pdf_url":"https://arxiv.org/pdf/2011.13173","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,"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":[{"score":0.6899999976158142,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G6607512085","display_name":null,"funder_award_id":"12050002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W1508953807","https://openalex.org/W1572123106","https://openalex.org/W1804110266","https://openalex.org/W1939390685","https://openalex.org/W1963983827","https://openalex.org/W1967676806","https://openalex.org/W1985967169","https://openalex.org/W1986614779","https://openalex.org/W1991602497","https://openalex.org/W1995102330","https://openalex.org/W1999513324","https://openalex.org/W2004751437","https://openalex.org/W2014379402","https://openalex.org/W2028404848","https://openalex.org/W2031430816","https://openalex.org/W2038828876","https://openalex.org/W2044413922","https://openalex.org/W2050338742","https://openalex.org/W2065376268","https://openalex.org/W2067816438","https://openalex.org/W2068321739","https://openalex.org/W2073313121","https://openalex.org/W2092159730","https://openalex.org/W2092431392","https://openalex.org/W2094687975","https://openalex.org/W2116323997","https://openalex.org/W2118941217","https://openalex.org/W2121260562","https://openalex.org/W2127437840","https://openalex.org/W2132639490","https://openalex.org/W2140494519","https://openalex.org/W2158323088","https://openalex.org/W2163659052","https://openalex.org/W2167035284","https://openalex.org/W2169281157","https://openalex.org/W2228017982","https://openalex.org/W2282959781","https://openalex.org/W2296239589","https://openalex.org/W2401998971","https://openalex.org/W2563402977","https://openalex.org/W2568511342","https://openalex.org/W2883821673","https://openalex.org/W2884680175","https://openalex.org/W2887167527","https://openalex.org/W2950405202","https://openalex.org/W2950768258","https://openalex.org/W2975220792","https://openalex.org/W2983275660","https://openalex.org/W2999060662","https://openalex.org/W3008343542","https://openalex.org/W3011524864","https://openalex.org/W3020452323","https://openalex.org/W3029645440","https://openalex.org/W3101835573","https://openalex.org/W3103749494","https://openalex.org/W3105240523","https://openalex.org/W3110608954","https://openalex.org/W3148029235","https://openalex.org/W3195520978","https://openalex.org/W4205293427","https://openalex.org/W4213199372","https://openalex.org/W4301014524"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W1601883103","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W119381072","https://openalex.org/W2034033896","https://openalex.org/W2094891943"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2020-12-07T00:00:00"}