{"id":"https://openalex.org/W2061783891","doi":"https://doi.org/10.1007/s10957-011-9834-2","title":"Strong Semismoothness of Projection onto Slices of Second-Order Cone","display_name":"Strong Semismoothness of Projection onto Slices of Second-Order Cone","publication_year":2011,"publication_date":"2011-04-19","ids":{"openalex":"https://openalex.org/W2061783891","doi":"https://doi.org/10.1007/s10957-011-9834-2","mag":"2061783891"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-011-9834-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-011-9834-2","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101878926","display_name":"Yingnan Wang","orcid":"https://orcid.org/0000-0002-0241-6056"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yingnan Wang","raw_affiliation_strings":["Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing, 100044, P.R. China","BeiJing Jiaotong Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing, 100044, P.R. China","institution_ids":["https://openalex.org/I21193070"]},{"raw_affiliation_string":"BeiJing Jiaotong Univ","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071551240","display_name":"Naihua Xiu","orcid":"https://orcid.org/0000-0002-3129-2005"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Naihua Xiu","raw_affiliation_strings":["Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing, 100044, P.R. China","BeiJing Jiaotong Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing, 100044, P.R. China","institution_ids":["https://openalex.org/I21193070"]},{"raw_affiliation_string":"BeiJing Jiaotong Univ","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101878926"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.4033,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62306748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"150","issue":"3","first_page":"599","last_page":"614"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9983999729156494,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.941100001335144,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.7909626960754395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5827662944793701},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.5813300013542175},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.5264837741851807},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.47123631834983826},{"id":"https://openalex.org/keywords/dual-cone-and-polar-cone","display_name":"Dual cone and polar cone","score":0.46824514865875244},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45493751764297485},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.44598591327667236},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4369505047798157},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.40540897846221924},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.396759569644928},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33252841234207153},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3078958988189697},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24908816814422607},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22072210907936096},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.11376792192459106},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06700915098190308}],"concepts":[{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.7909626960754395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5827662944793701},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.5813300013542175},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.5264837741851807},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.47123631834983826},{"id":"https://openalex.org/C24484764","wikidata":"https://www.wikidata.org/wiki/Q2687694","display_name":"Dual cone and polar cone","level":3,"score":0.46824514865875244},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45493751764297485},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.44598591327667236},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4369505047798157},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.40540897846221924},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.396759569644928},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33252841234207153},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3078958988189697},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24908816814422607},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22072210907936096},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.11376792192459106},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06700915098190308},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-011-9834-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-011-9834-2","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:150:y:2011:i:3:d:10.1007_s10957-011-9834-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-011-9834-2","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W135273259","https://openalex.org/W1488435683","https://openalex.org/W1819938083","https://openalex.org/W1982632325","https://openalex.org/W1992688650","https://openalex.org/W2018695900","https://openalex.org/W2044168427","https://openalex.org/W2055390480","https://openalex.org/W2056385679","https://openalex.org/W2067547116","https://openalex.org/W2079361630","https://openalex.org/W2080675119","https://openalex.org/W2112729692","https://openalex.org/W2152453276","https://openalex.org/W2158604542","https://openalex.org/W2165289170"],"related_works":["https://openalex.org/W2371409811","https://openalex.org/W4223479902","https://openalex.org/W2070847262","https://openalex.org/W2030016889","https://openalex.org/W2550463706","https://openalex.org/W2972593485","https://openalex.org/W2051321136","https://openalex.org/W2484043914","https://openalex.org/W2184361932","https://openalex.org/W2044564598"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}