{"id":"https://openalex.org/W3093298056","doi":"https://doi.org/10.1007/s11075-020-01019-z","title":"An algorithm based on QSVD for the quaternion equality constrained least squares problem","display_name":"An algorithm based on QSVD for the quaternion equality constrained least squares problem","publication_year":2020,"publication_date":"2020-10-15","ids":{"openalex":"https://openalex.org/W3093298056","doi":"https://doi.org/10.1007/s11075-020-01019-z","mag":"3093298056"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-020-01019-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01019-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5074434313","display_name":"Yanzhen Zhang","orcid":"https://orcid.org/0000-0002-9802-2843"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanzhen Zhang","raw_affiliation_strings":["School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People\u2019s Republic of China","School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I196934937"]},{"raw_affiliation_string":"School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People's Republic of China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100414418","display_name":"Ying Li","orcid":"https://orcid.org/0000-0003-1829-7327"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Li","raw_affiliation_strings":["School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People\u2019s Republic of China","School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I196934937"]},{"raw_affiliation_string":"School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People's Republic of China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106381930","display_name":"Musheng Wei","orcid":null},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Musheng Wei","raw_affiliation_strings":["School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People\u2019s Republic of China","School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I196934937"]},{"raw_affiliation_string":"School of Mathematical Science, Liaocheng University, Liaocheng, 252000, Shandong, People's Republic of China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077848206","display_name":"Hong Zhao","orcid":"https://orcid.org/0000-0002-1960-1338"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong Zhao","raw_affiliation_strings":["School of Physics Science and Information Engineering, Liaocheng University, Liaocheng, 252000, Shandong, People\u2019s Republic of China","School of Physics Science and Information Engineering, Liaocheng University, Liaocheng, 252000, Shandong, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Physics Science and Information Engineering, Liaocheng University, Liaocheng, 252000, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I196934937"]},{"raw_affiliation_string":"School of Physics Science and Information Engineering, Liaocheng University, Liaocheng, 252000, Shandong, People's Republic of China","institution_ids":["https://openalex.org/I196934937"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074434313"],"corresponding_institution_ids":["https://openalex.org/I196934937"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5774,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.74246777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"87","issue":"4","first_page":"1563","last_page":"1576"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993000030517578,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11325","display_name":"Inertial Sensor and Navigation","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/quaternion","display_name":"Quaternion","score":0.7979578971862793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7448651790618896},{"id":"https://openalex.org/keywords/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.7204798460006714},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5895949602127075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5866250395774841},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.570880651473999},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5702495574951172},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.47084280848503113},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4687870740890503},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4173816442489624},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3992268443107605},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3290737271308899},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.219122052192688},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10195204615592957}],"concepts":[{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.7979578971862793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7448651790618896},{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.7204798460006714},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5895949602127075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5866250395774841},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.570880651473999},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5702495574951172},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.47084280848503113},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4687870740890503},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4173816442489624},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3992268443107605},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3290737271308899},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.219122052192688},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10195204615592957},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-020-01019-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01019-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6299999952316284}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W940920438","https://openalex.org/W1585206428","https://openalex.org/W1965914766","https://openalex.org/W1981583743","https://openalex.org/W1990202535","https://openalex.org/W1993593323","https://openalex.org/W1995906657","https://openalex.org/W1999872433","https://openalex.org/W2004789714","https://openalex.org/W2013323650","https://openalex.org/W2016901301","https://openalex.org/W2017592525","https://openalex.org/W2024558657","https://openalex.org/W2026341586","https://openalex.org/W2041752389","https://openalex.org/W2048641947","https://openalex.org/W2049755545","https://openalex.org/W2053782265","https://openalex.org/W2065619483","https://openalex.org/W2078478728","https://openalex.org/W2091774437","https://openalex.org/W2093815976","https://openalex.org/W2138455274","https://openalex.org/W2155191370","https://openalex.org/W2318781916","https://openalex.org/W2554476575","https://openalex.org/W2591835658","https://openalex.org/W2766897841","https://openalex.org/W2767362894","https://openalex.org/W3003407024"],"related_works":["https://openalex.org/W2155858901","https://openalex.org/W2491194410","https://openalex.org/W4382519099","https://openalex.org/W1515727993","https://openalex.org/W2037179686","https://openalex.org/W2802398440","https://openalex.org/W3199508004","https://openalex.org/W2137600664","https://openalex.org/W3003407024","https://openalex.org/W2549446753"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}