{"id":"https://openalex.org/W4407726480","doi":"https://doi.org/10.1007/s12190-024-02351-6","title":"A hybrid Newton\u2019s method for solving tensor square root problem","display_name":"A hybrid Newton\u2019s method for solving tensor square root problem","publication_year":2025,"publication_date":"2025-02-19","ids":{"openalex":"https://openalex.org/W4407726480","doi":"https://doi.org/10.1007/s12190-024-02351-6"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02351-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02351-6","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","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/A5100698781","display_name":"Lixia Liu","orcid":"https://orcid.org/0000-0001-8053-531X"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lixia Liu","raw_affiliation_strings":["Department of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi, China","Department of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112302958","display_name":"Yuanning Gao","orcid":null},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongjuan Gao","raw_affiliation_strings":["Department of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi, China","Department of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082906625","display_name":"Xuefeng Duan","orcid":"https://orcid.org/0000-0002-3326-4585"},"institutions":[{"id":"https://openalex.org/I3129996945","display_name":"Guilin University of Aerospace Technology","ror":"https://ror.org/00h1gc758","country_code":"CN","type":"education","lineage":["https://openalex.org/I3129996945"]},{"id":"https://openalex.org/I38706770","display_name":"Guilin University of Technology","ror":"https://ror.org/03z391397","country_code":"CN","type":"education","lineage":["https://openalex.org/I38706770"]},{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuefeng Duan","raw_affiliation_strings":["College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, Guangxi, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, Guangxi, China","institution_ids":["https://openalex.org/I5343935","https://openalex.org/I38706770","https://openalex.org/I3129996945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100601924","display_name":"Chunfeng Wang","orcid":"https://orcid.org/0000-0002-8570-0596"},"institutions":[{"id":"https://openalex.org/I4210118093","display_name":"Xianyang Normal University","ror":"https://ror.org/01r45yt97","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210118093"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunfeng Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Xianyang Normal University, Xianyang, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xianyang Normal University, Xianyang, Shaanxi, China","institution_ids":["https://openalex.org/I4210118093"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045137489","display_name":"Sanyang Liu","orcid":"https://orcid.org/0000-0002-3625-3398"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sanyang Liu","raw_affiliation_strings":["Department of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi, China","Department of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100698781"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0546875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"4","first_page":"4875","last_page":"4895"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational 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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9966999888420105,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.993399977684021,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8552079200744629},{"id":"https://openalex.org/keywords/square-root","display_name":"Square root","score":0.7189390659332275},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7144720554351807},{"id":"https://openalex.org/keywords/root","display_name":"Root (linguistics)","score":0.6326202154159546},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6181660890579224},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6123565435409546},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43063950538635254},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4284907579421997},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3928735554218292},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3674473762512207},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2026764154434204},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18518862128257751},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12964454293251038}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8552079200744629},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.7189390659332275},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7144720554351807},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.6326202154159546},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6181660890579224},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6123565435409546},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43063950538635254},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4284907579421997},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3928735554218292},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3674473762512207},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2026764154434204},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18518862128257751},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12964454293251038},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02351-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02351-6","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4449435701","display_name":null,"funder_award_id":"2023-JC-YB-056","funder_id":"https://openalex.org/F4320336567","funder_display_name":"Natural Science Basic Research Program of Shaanxi Province"},{"id":"https://openalex.org/G5998298427","display_name":null,"funder_award_id":"2024JC-YBMS-003","funder_id":"https://openalex.org/F4320336567","funder_display_name":"Natural Science Basic Research Program of Shaanxi Province"}],"funders":[{"id":"https://openalex.org/F4320336567","display_name":"Natural Science Basic Research Program of Shaanxi Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W76663824","https://openalex.org/W1545792020","https://openalex.org/W1728008084","https://openalex.org/W1748292209","https://openalex.org/W2006808740","https://openalex.org/W2019709372","https://openalex.org/W2030927653","https://openalex.org/W2043571470","https://openalex.org/W2048636460","https://openalex.org/W2057106305","https://openalex.org/W2057538344","https://openalex.org/W2064729422","https://openalex.org/W2080676057","https://openalex.org/W2085506739","https://openalex.org/W2086824111","https://openalex.org/W2089690239","https://openalex.org/W2096104369","https://openalex.org/W2443864910","https://openalex.org/W2738537049","https://openalex.org/W2762772695","https://openalex.org/W2793728421","https://openalex.org/W2886874100","https://openalex.org/W2947760128","https://openalex.org/W2989518474","https://openalex.org/W3034617644","https://openalex.org/W3138823696","https://openalex.org/W4382796410","https://openalex.org/W4389622287","https://openalex.org/W4391655868","https://openalex.org/W4404707130"],"related_works":["https://openalex.org/W2217961521","https://openalex.org/W2001134355","https://openalex.org/W1595735471","https://openalex.org/W3120038327","https://openalex.org/W1561772133","https://openalex.org/W113971542","https://openalex.org/W3029623871","https://openalex.org/W933873750","https://openalex.org/W2200340134","https://openalex.org/W4308789280"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-20T17:24:06.736184","created_date":"2025-10-10T00:00:00"}
