{"id":"https://openalex.org/W2982274371","doi":"https://doi.org/10.1007/s10898-019-00845-3","title":"The decompositions with respect to two core non-symmetric cones","display_name":"The decompositions with respect to two core non-symmetric cones","publication_year":2019,"publication_date":"2019-10-22","ids":{"openalex":"https://openalex.org/W2982274371","doi":"https://doi.org/10.1007/s10898-019-00845-3","mag":"2982274371"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-019-00845-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00845-3","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://eprints.soton.ac.uk/435061/1/LYCQ2019_revised_.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102945856","display_name":"Yue Lu","orcid":"https://orcid.org/0000-0003-2216-1035"},"institutions":[{"id":"https://openalex.org/I15062923","display_name":"Tianjin Normal University","ror":"https://ror.org/05x2td559","country_code":"CN","type":"education","lineage":["https://openalex.org/I15062923"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yue Lu","raw_affiliation_strings":["School of Mathematical Sciences, Tianjin Normal University, Tianjin, 300387, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tianjin Normal University, Tianjin, 300387, China","institution_ids":["https://openalex.org/I15062923"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101064043","display_name":"Ching-Yu Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I134161618","display_name":"National Taiwan Normal University","ror":"https://ror.org/059dkdx38","country_code":"TW","type":"education","lineage":["https://openalex.org/I134161618"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ching-Yu Yang","raw_affiliation_strings":["Department of Mathematics, National Taiwan Normal University, Taipei, 11677, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Taiwan Normal University, Taipei, 11677, Taiwan","institution_ids":["https://openalex.org/I134161618"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061633817","display_name":"Jein-Shan Chen","orcid":"https://orcid.org/0000-0002-4596-9419"},"institutions":[{"id":"https://openalex.org/I134161618","display_name":"National Taiwan Normal University","ror":"https://ror.org/059dkdx38","country_code":"TW","type":"education","lineage":["https://openalex.org/I134161618"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jein-Shan Chen","raw_affiliation_strings":["Department of Mathematics, National Taiwan Normal University, Taipei, 11677, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Taiwan Normal University, Taipei, 11677, Taiwan","institution_ids":["https://openalex.org/I134161618"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112621269","display_name":"Houduo Qi","orcid":"https://orcid.org/0000-0003-3481-4814"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Hou-Duo Qi","raw_affiliation_strings":["School of Mathematics, University of Southampton, Southampton, SO17 1BJ, UK"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Southampton, Southampton, SO17 1BJ, UK","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102945856"],"corresponding_institution_ids":["https://openalex.org/I15062923"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.3245,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56715731,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"76","issue":"1","first_page":"155","last_page":"188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9958999752998352,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9807000160217285,"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/conic-section","display_name":"Conic section","score":0.9116542339324951},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8184752464294434},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.7670215964317322},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.7311562895774841},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6983636021614075},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.519737958908081},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5087757706642151},{"id":"https://openalex.org/keywords/convex-cone","display_name":"Convex cone","score":0.4923306703567505},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.438593327999115},{"id":"https://openalex.org/keywords/dual-cone-and-polar-cone","display_name":"Dual cone and polar cone","score":0.41761842370033264},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4096146523952484},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3596568703651428},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3565884232521057},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2844616770744324},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.2782171368598938},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22285768389701843},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14633601903915405}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.9116542339324951},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8184752464294434},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.7670215964317322},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.7311562895774841},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6983636021614075},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.519737958908081},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5087757706642151},{"id":"https://openalex.org/C28340159","wikidata":"https://www.wikidata.org/wiki/Q2256541","display_name":"Convex cone","level":5,"score":0.4923306703567505},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.438593327999115},{"id":"https://openalex.org/C24484764","wikidata":"https://www.wikidata.org/wiki/Q2687694","display_name":"Dual cone and polar cone","level":3,"score":0.41761842370033264},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4096146523952484},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3596568703651428},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3565884232521057},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2844616770744324},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.2782171368598938},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22285768389701843},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14633601903915405},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-019-00845-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-019-00845-3","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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 Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:eprints.soton.ac.uk:435061","is_oa":true,"landing_page_url":"http://doi.org/10.1007/s10898-019-00845-3>).","pdf_url":"https://eprints.soton.ac.uk/435061/1/LYCQ2019_revised_.pdf","source":{"id":"https://openalex.org/S4306401020","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"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":"PeerReviewed"},{"id":"pmh:oai:RePEc:spr:jglopt:v:76:y:2020:i:1:d:10.1007_s10898-019-00845-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-019-00845-3","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":{"id":"pmh:oai:eprints.soton.ac.uk:435061","is_oa":true,"landing_page_url":"http://doi.org/10.1007/s10898-019-00845-3>).","pdf_url":"https://eprints.soton.ac.uk/435061/1/LYCQ2019_revised_.pdf","source":{"id":"https://openalex.org/S4306401020","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"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":"PeerReviewed"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2626896578","display_name":null,"funder_award_id":"Grant Number:","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7160539585","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G8819833226","display_name":null,"funder_award_id":"11601389","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"},{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2982274371.pdf","grobid_xml":"https://content.openalex.org/works/W2982274371.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W1540170526","https://openalex.org/W1626012029","https://openalex.org/W1729600352","https://openalex.org/W1788938005","https://openalex.org/W1963653477","https://openalex.org/W1965287024","https://openalex.org/W1965717960","https://openalex.org/W1973281249","https://openalex.org/W1976165672","https://openalex.org/W2004209776","https://openalex.org/W2004596681","https://openalex.org/W2009923109","https://openalex.org/W2014087060","https://openalex.org/W2018695900","https://openalex.org/W2030451378","https://openalex.org/W2035396114","https://openalex.org/W2042592476","https://openalex.org/W2055506505","https://openalex.org/W2058404049","https://openalex.org/W2085850581","https://openalex.org/W2099503041","https://openalex.org/W2105235982","https://openalex.org/W2116040458","https://openalex.org/W2124487034","https://openalex.org/W2152309892","https://openalex.org/W2152453276","https://openalex.org/W2153400929","https://openalex.org/W2158007057","https://openalex.org/W2158604542","https://openalex.org/W2162471115","https://openalex.org/W2171048418","https://openalex.org/W2187372070","https://openalex.org/W2214601016","https://openalex.org/W2257291892","https://openalex.org/W2338367977","https://openalex.org/W2495457432","https://openalex.org/W2581476132","https://openalex.org/W2912522929","https://openalex.org/W3008240052","https://openalex.org/W3111467837","https://openalex.org/W3213595726","https://openalex.org/W6723659458","https://openalex.org/W6817052383"],"related_works":["https://openalex.org/W4287667658","https://openalex.org/W1974329054","https://openalex.org/W3214096717","https://openalex.org/W2488107756","https://openalex.org/W2068531293","https://openalex.org/W2525685476","https://openalex.org/W2276733260","https://openalex.org/W21211370","https://openalex.org/W2040631554","https://openalex.org/W3103795021"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}