{"id":"https://openalex.org/W1988265099","doi":"https://doi.org/10.1007/s11590-010-0233-7","title":"A regularized strong duality for nonsymmetric semidefinite least squares problem","display_name":"A regularized strong duality for nonsymmetric semidefinite least squares problem","publication_year":2010,"publication_date":"2010-09-29","ids":{"openalex":"https://openalex.org/W1988265099","doi":"https://doi.org/10.1007/s11590-010-0233-7","mag":"1988265099"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-010-0233-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-010-0233-7","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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, People\u2019s Republic of China","BeiJing Jiaotong Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing, 100044, People\u2019s Republic of China","institution_ids":["https://openalex.org/I21193070"]},{"raw_affiliation_string":"BeiJing Jiaotong Univ","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","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, People\u2019s Republic of China","BeiJing Jiaotong Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing, 100044, People\u2019s Republic of 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/A5071190011","display_name":"Ziyan Luo","orcid":"https://orcid.org/0000-0002-4926-5929"},"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":"Ziyan Luo","raw_affiliation_strings":["Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing, 100044, People\u2019s Republic of China","BeiJing Jiaotong Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing, 100044, People\u2019s Republic of 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":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.3022,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60564236,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"5","issue":"4","first_page":"665","last_page":"682"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980999827384949,"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":0.9966999888420105,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9761999845504761,"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/mathematics","display_name":"Mathematics","score":0.7445697784423828},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6867172718048096},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5951938629150391},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.5369399189949036},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.495293527841568},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.4416212737560272},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4377289116382599},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.42556488513946533},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4156380295753479},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.4143197536468506},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3523595631122589},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.34564197063446045},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33020204305648804},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3217775225639343},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.29637956619262695},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.262085497379303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13882064819335938},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08865249156951904}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7445697784423828},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6867172718048096},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5951938629150391},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.5369399189949036},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.495293527841568},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.4416212737560272},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4377289116382599},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.42556488513946533},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4156380295753479},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.4143197536468506},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3523595631122589},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.34564197063446045},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33020204305648804},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3217775225639343},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29637956619262695},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.262085497379303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13882064819335938},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08865249156951904},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-010-0233-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-010-0233-7","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W572922989","https://openalex.org/W1497941563","https://openalex.org/W1507741784","https://openalex.org/W1583497301","https://openalex.org/W1964916956","https://openalex.org/W1965358437","https://openalex.org/W1974329054","https://openalex.org/W1982165727","https://openalex.org/W2036698238","https://openalex.org/W2037261607","https://openalex.org/W2080359169","https://openalex.org/W2091560152","https://openalex.org/W2092569137","https://openalex.org/W2104481149","https://openalex.org/W2115211938","https://openalex.org/W2119582979","https://openalex.org/W2130697848","https://openalex.org/W2148012411","https://openalex.org/W2158604542","https://openalex.org/W2162368859","https://openalex.org/W2165289170","https://openalex.org/W2392185716","https://openalex.org/W2495457432","https://openalex.org/W2610857016","https://openalex.org/W2912522929","https://openalex.org/W4234453076","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W2493494838","https://openalex.org/W2168915192","https://openalex.org/W2963700124","https://openalex.org/W4297923520","https://openalex.org/W2624196447","https://openalex.org/W2077924482","https://openalex.org/W2771160919","https://openalex.org/W2403050719","https://openalex.org/W4301659259","https://openalex.org/W1571037741"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
